Kim, Bogi; Oh, Jehan Regularity for double phase functionals with two modulating coefficients. (English) Zbl 07822698 J. Geom. Anal. 34, No. 5, Paper No. 134, 51 p. (2024). MSC: 35B65 35J70 49N60 35A15 PDFBibTeX XMLCite \textit{B. Kim} and \textit{J. Oh}, J. Geom. Anal. 34, No. 5, Paper No. 134, 51 p. (2024; Zbl 07822698) Full Text: DOI
Kubin, Anna; Lussardi, Luca; Morandotti, Marco Direct minimization of the Canham-Helfrich energy on generalized Gauss graphs. (English) Zbl 07818663 J. Geom. Anal. 34, No. 5, Paper No. 121, 25 p. (2024). MSC: 49Q20 49J45 92C10 49Q10 53C80 49N60 PDFBibTeX XMLCite \textit{A. Kubin} et al., J. Geom. Anal. 34, No. 5, Paper No. 121, 25 p. (2024; Zbl 07818663) Full Text: DOI arXiv OA License
Grimaldi, Antonio Giuseppe Higher regularity for minimizers of very degenerate convex integrals. (English) Zbl 07816739 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113520, 33 p. (2024). MSC: 49N60 35D10 35J70 PDFBibTeX XMLCite \textit{A. G. Grimaldi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113520, 33 p. (2024; Zbl 07816739) Full Text: DOI arXiv
Cinti, Eleonora Regularity results for isoperimetric sets with density. (English) Zbl 07814201 “Bruno Pini” Mathematical Analysis Seminar 2023. Papers from the seminar, University of Bologna, Bologna, Italy, 2023. Bologna: Università di Bologna, Alma Mater Studiorum. 22-41 (2024). Reviewer: Savin Treanţă (Bucureşti) MSC: 49Q05 49Q20 49N60 35J93 35B65 PDFBibTeX XMLCite \textit{E. Cinti}, in: ``Bruno Pini'' Mathematical Analysis Seminar 2023. Papers from the seminar, University of Bologna, Bologna, Italy, 2023. Bologna: Università di Bologna, Alma Mater Studiorum. 22--41 (2024; Zbl 07814201) Full Text: DOI
Lledos, Benjamin A uniqueness result for a translation invariant problem in the calculus of variations. (English) Zbl 07811218 J. Convex Anal. 31, No. 1, 121-130 (2024). MSC: 35A02 35A15 49N60 PDFBibTeX XMLCite \textit{B. Lledos}, J. Convex Anal. 31, No. 1, 121--130 (2024; Zbl 07811218) Full Text: Link
Grochulska, Zofia; Łasica, Michał Local estimates for vectorial Rudin-Osher-Fatemi type problems in one dimension. (English) Zbl 07810321 ESAIM, Control Optim. Calc. Var. 30, Paper No. 8, 39 p. (2024). Reviewer: Savin Treanţă (Bucureşti) MSC: 49N60 35B65 35K59 94A12 PDFBibTeX XMLCite \textit{Z. Grochulska} and \textit{M. Łasica}, ESAIM, Control Optim. Calc. Var. 30, Paper No. 8, 39 p. (2024; Zbl 07810321) Full Text: DOI arXiv
Granucci, Tiziano Not uniformly continuous densities and the local everywhere Hölder continuity of weak solutions of vectorial problems. (English) Zbl 07807612 Boll. Unione Mat. Ital. 17, No. 1, 41-66 (2024). MSC: 35J20 49N60 35B65 PDFBibTeX XMLCite \textit{T. Granucci}, Boll. Unione Mat. Ital. 17, No. 1, 41--66 (2024; Zbl 07807612) Full Text: DOI
Kinnunen, Juha; Nastasi, Antonella; Camacho, Cintia Pacchiano Gradient higher integrability for double phase problems on metric measure spaces. (English) Zbl 07805273 Proc. Am. Math. Soc. 152, No. 3, 1233-1251 (2024). Reviewer: Antonio Roberto da Silva (Rio de Janeiro) MSC: 49Q20 49N60 31C45 35J60 46E35 PDFBibTeX XMLCite \textit{J. Kinnunen} et al., Proc. Am. Math. Soc. 152, No. 3, 1233--1251 (2024; Zbl 07805273) Full Text: DOI arXiv
Ok, Jihoon; Scilla, Giovanni; Stroffolini, Bianca Regularity theory for parabolic systems with Uhlenbeck structure. (English. French summary) Zbl 07800982 J. Math. Pures Appl. (9) 182, 116-163 (2024). Reviewer: Lubomira Softova (Fisciano) MSC: 35B65 35K40 35K59 46E35 49N60 PDFBibTeX XMLCite \textit{J. Ok} et al., J. Math. Pures Appl. (9) 182, 116--163 (2024; Zbl 07800982) Full Text: DOI arXiv
De Filippis, Cristiana; Mingione, Giuseppe Gradient regularity in mixed local and nonlocal problems. (English) Zbl 07796271 Math. Ann. 388, No. 1, 261-328 (2024). Reviewer: Savin Treanţă (Bucureşti) MSC: 49N60 35J60 35R11 PDFBibTeX XMLCite \textit{C. De Filippis} and \textit{G. Mingione}, Math. Ann. 388, No. 1, 261--328 (2024; Zbl 07796271) Full Text: DOI arXiv OA License
Dweik, Samer Optimal region for the transport problem to the boundary. (English) Zbl 07787730 J. Math. Anal. Appl. 532, No. 2, Article ID 127922, 25 p. (2024). MSC: 49Q22 49Q10 49N60 PDFBibTeX XMLCite \textit{S. Dweik}, J. Math. Anal. Appl. 532, No. 2, Article ID 127922, 25 p. (2024; Zbl 07787730) Full Text: DOI
De Lellis, Camillo; Minter, Paul; Skorobogatova, Anna Higher codimension area-minimizing currents mod\((q)\): structure of singularities near \((m-1)\)-invariant cones. arXiv:2403.15889 Preprint, arXiv:2403.15889 [math.AP] (2024). MSC: 49Q15 49Q05 49N60 35B65 35J47 BibTeX Cite \textit{C. De Lellis} et al., ``Higher codimension area-minimizing currents mod$(q)$: structure of singularities near $(m-1)$-invariant cones'', Preprint, arXiv:2403.15889 [math.AP] (2024) Full Text: arXiv OA License
De Filippis, Filomena; Piccinini, Mirco Regularity for multi-phase problems at nearly linear growth. arXiv:2401.02186 Preprint, arXiv:2401.02186 [math.AP] (2024). MSC: 49N60 35J60 BibTeX Cite \textit{F. De Filippis} and \textit{M. Piccinini}, ``Regularity for multi-phase problems at nearly linear growth'', Preprint, arXiv:2401.02186 [math.AP] (2024) Full Text: arXiv OA License
De Filippis, Cristiana; Piccinini, Mirco Borderline global regularity for nonuniformly elliptic systems. (English) Zbl 07794947 Int. Math. Res. Not. 2023, No. 20, 17324-17376 (2023). Reviewer: Savin Treanţă (Bucureşti) MSC: 49N60 35J60 PDFBibTeX XMLCite \textit{C. De Filippis} and \textit{M. Piccinini}, Int. Math. Res. Not. 2023, No. 20, 17324--17376 (2023; Zbl 07794947) Full Text: DOI arXiv
De Filippis, Cristiana; Mingione, Giuseppe Nonuniformly elliptic Schauder theory. (English) Zbl 07770156 Invent. Math. 234, No. 3, 1109-1196 (2023). MSC: 49N60 35J60 35R11 PDFBibTeX XMLCite \textit{C. De Filippis} and \textit{G. Mingione}, Invent. Math. 234, No. 3, 1109--1196 (2023; Zbl 07770156) Full Text: DOI arXiv OA License
Labourie, Camille; Lemenant, Antoine Epsilon-regularity for Griffith almost-minimizers in any dimension under a separating condition. (English) Zbl 1527.49015 Arch. Ration. Mech. Anal. 247, No. 6, Paper No. 105, 63 p. (2023). Reviewer: Patrick Winkert (Berlin) MSC: 49J99 49N60 PDFBibTeX XMLCite \textit{C. Labourie} and \textit{A. Lemenant}, Arch. Ration. Mech. Anal. 247, No. 6, Paper No. 105, 63 p. (2023; Zbl 1527.49015) Full Text: DOI arXiv
Séguret, Adrien Mean field approximation of an optimal control problem for the continuity equation arising in smart charging. (English) Zbl 1526.49019 Appl. Math. Optim. 88, No. 3, Paper No. 79, 44 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 49K21 92D25 49N80 49J45 49N60 PDFBibTeX XMLCite \textit{A. Séguret}, Appl. Math. Optim. 88, No. 3, Paper No. 79, 44 p. (2023; Zbl 1526.49019) Full Text: DOI
Granucci, Tiziano On the local everywhere Hölder continuity for weak solutions of a class of not convex vectorial problems of the calculus of variations. (English) Zbl 1526.49025 J. Elliptic Parabol. Equ. 9, No. 2, 1019-1041 (2023). Reviewer: Savin Treanţă (Bucureşti) MSC: 49N60 35J50 PDFBibTeX XMLCite \textit{T. Granucci}, J. Elliptic Parabol. Equ. 9, No. 2, 1019--1041 (2023; Zbl 1526.49025) Full Text: DOI arXiv
Hästö, Peter; Ok, Jihoon Regularity theory for non-autonomous problems with a priori assumptions. (English) Zbl 07756896 Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 251, 28 p. (2023). MSC: 35B65 35A15 35J62 46E35 49N60 PDFBibTeX XMLCite \textit{P. Hästö} and \textit{J. Ok}, Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 251, 28 p. (2023; Zbl 07756896) Full Text: DOI arXiv OA License
Guillén-González, Francisco; Corrêa Vianna Filho, André Luiz An optimal control problem subject to strong solutions of chemotaxis-consumption models. (English) Zbl 07755485 SIAM J. Control Optim. 61, No. 5, 3156-3182 (2023). MSC: 92C17 49S05 49J20 49K20 49N60 35Q92 PDFBibTeX XMLCite \textit{F. Guillén-González} and \textit{A. L. Corrêa Vianna Filho}, SIAM J. Control Optim. 61, No. 5, 3156--3182 (2023; Zbl 07755485) Full Text: DOI arXiv
Esposito, Luca; Lamberti, Lorenzo Regularity results for an optimal design problem with lower order terms. (English) Zbl 07751768 Adv. Calc. Var. 16, No. 4, 1093-1122 (2023). Reviewer: Giorgio Saracco (Firenze) MSC: 49Q10 49N60 49Q20 53A10 PDFBibTeX XMLCite \textit{L. Esposito} and \textit{L. Lamberti}, Adv. Calc. Var. 16, No. 4, 1093--1122 (2023; Zbl 07751768) Full Text: DOI arXiv OA License
Hadzhy, Oleksandr V.; Skrypnik, Igor I.; Voitovych, Mykhailo V. Interior continuity, continuity up to the boundary, and Harnack’s inequality for double-phase elliptic equations with nonlogarithmic conditions. (English) Zbl 07750695 Math. Nachr. 296, No. 9, 3892-3914 (2023). Reviewer: Abimbola Abolarinwa (Lagos) MSC: 35B65 35D30 35J92 49N60 PDFBibTeX XMLCite \textit{O. V. Hadzhy} et al., Math. Nachr. 296, No. 9, 3892--3914 (2023; Zbl 07750695) Full Text: DOI arXiv
Novaga, Matteo; Onoue, Fumihiko Local Hölder regularity of minimizers for nonlocal variational problems. (English) Zbl 1523.35143 Commun. Contemp. Math. 25, No. 10, Article ID 2250058, 29 p. (2023). MSC: 35J20 49N60 35A15 94A08 PDFBibTeX XMLCite \textit{M. Novaga} and \textit{F. Onoue}, Commun. Contemp. Math. 25, No. 10, Article ID 2250058, 29 p. (2023; Zbl 1523.35143) Full Text: DOI arXiv
Gangbo, Wilfrid; Jacobs, Matt; Kim, Inwon Well-posedness and regularity for a polyconvex energy. (English) Zbl 1522.49026 ESAIM, Control Optim. Calc. Var. 29, Paper No. 67, 40 p. (2023). Reviewer: Savin Treanţă (Bucureşti) MSC: 49K40 49N60 35Q30 49K35 49N15 76D05 PDFBibTeX XMLCite \textit{W. Gangbo} et al., ESAIM, Control Optim. Calc. Var. 29, Paper No. 67, 40 p. (2023; Zbl 1522.49026) Full Text: DOI arXiv
Beck, Lisa; Cinti, Eleonora; Seis, Christian Optimal regularity of isoperimetric sets with Hölder densities. (English) Zbl 1523.49044 Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 214, 20 p. (2023). Reviewer: Giorgio Saracco (Firenze) MSC: 49Q05 49Q20 49N60 35J93 35B65 PDFBibTeX XMLCite \textit{L. Beck} et al., Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 214, 20 p. (2023; Zbl 1523.49044) Full Text: DOI arXiv
Armstrong, Niles; Denny, Jory; LeCrone, Jeremy Kinodynamic control systems and discontinuities in clearance. (English) Zbl 1520.93210 SIAM J. Control Optim. 61, No. 4, 2448-2467 (2023). MSC: 93C10 49N60 93B03 PDFBibTeX XMLCite \textit{N. Armstrong} et al., SIAM J. Control Optim. 61, No. 4, 2448--2467 (2023; Zbl 1520.93210) Full Text: DOI arXiv
Labourie, Camille; Milakis, Emmanouil Higher integrability of the gradient for the thermal insulation problem. (English) Zbl 1526.35336 Interfaces Free Bound. 25, No. 2, 193-216 (2023). Reviewer: Wenhui Shi (Clayton) MSC: 35R35 35J20 49N60 49Q20 PDFBibTeX XMLCite \textit{C. Labourie} and \textit{E. Milakis}, Interfaces Free Bound. 25, No. 2, 193--216 (2023; Zbl 1526.35336) Full Text: DOI arXiv
Ronzhina, Mariya I.; Manita, Larisa A. Spiral-like extremals near a singular surface in a rocket control problem. (English) Zbl 1522.37073 Regul. Chaotic Dyn. 28, No. 2, 148-161 (2023). MSC: 37J51 37J06 37N35 49J15 49N60 34H05 PDFBibTeX XMLCite \textit{M. I. Ronzhina} and \textit{L. A. Manita}, Regul. Chaotic Dyn. 28, No. 2, 148--161 (2023; Zbl 1522.37073) Full Text: DOI
Esposito, L.; Lamberti, L. Regularity results for a free interface problem with Hölder coefficients. (English) Zbl 1516.49036 Calc. Var. Partial Differ. Equ. 62, No. 5, Paper No. 156, 49 p. (2023). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 49N60 49Q10 49Q20 PDFBibTeX XMLCite \textit{L. Esposito} and \textit{L. Lamberti}, Calc. Var. Partial Differ. Equ. 62, No. 5, Paper No. 156, 49 p. (2023; Zbl 1516.49036) Full Text: DOI arXiv
Gao, Hongya; Shan, Yanan; Ren, Wei Regularity for minimizing sequences of some variational integrals. (English) Zbl 1517.49022 Sci. China, Math. 66, No. 4, 777-798 (2023). Reviewer: Mohsen Timoumi (Monastir) MSC: 49N60 PDFBibTeX XMLCite \textit{H. Gao} et al., Sci. China, Math. 66, No. 4, 777--798 (2023; Zbl 1517.49022) Full Text: DOI
Bettiol, Piernicola; Mariconda, Carlo The basic problem of the calculus of variations: Du Bois-Reymond equation, regularity of minimizers and of minimizing sequences. (English) Zbl 1514.49007 “Bruno Pini” Mathematical Analysis Seminar 2022. Papers from the seminar, University of Bologna, Bologna, Italy, 2022. Bologna: Università di Bologna, Alma Mater Studiorum. 26-43 (2023). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49J45 49N60 PDFBibTeX XMLCite \textit{P. Bettiol} and \textit{C. Mariconda}, in: ``Bruno Pini'' Mathematical Analysis Seminar 2022. Papers from the seminar, University of Bologna, Bologna, Italy, 2022. Bologna: Università di Bologna, Alma Mater Studiorum. 26--43 (2023; Zbl 1514.49007) Full Text: DOI
Amine, Oussama; Mansouri, Abdol-Reza; Proske, Frank Well-posedness of the deterministic transport equation with singular velocity field perturbed along fractional Brownian paths. (English) Zbl 07681521 J. Differ. Equations 362, 106-172 (2023). Reviewer: Denis R. Bell (Jacksonville) MSC: 60H10 49N60 91G80 PDFBibTeX XMLCite \textit{O. Amine} et al., J. Differ. Equations 362, 106--172 (2023; Zbl 07681521) Full Text: DOI arXiv
Granucci, Tiziano; Randolfi, Monia Regularity for local minima of a special class of vectorial problems with fully anisotropic growth. (English) Zbl 1512.49038 Manuscr. Math. 170, No. 3-4, 677-772 (2023). Reviewer: Savin Treanta (Bucureşti) MSC: 49N60 35J50 PDFBibTeX XMLCite \textit{T. Granucci} and \textit{M. Randolfi}, Manuscr. Math. 170, No. 3--4, 677--772 (2023; Zbl 1512.49038) Full Text: DOI
Torres, Delfim F. M. Comment on: “Noether’s-type theorems on time scales”. (English) Zbl 1511.49014 J. Math. Phys. 64, No. 1, Article ID 014101, 2 p. (2023). MSC: 49K05 34N05 49N60 26E70 PDFBibTeX XMLCite \textit{D. F. M. Torres}, J. Math. Phys. 64, No. 1, Article ID 014101, 2 p. (2023; Zbl 1511.49014) Full Text: DOI
Bonnans, J. Frédéric; Gianatti, Justina; Pfeiffer, Laurent A Lagrangian approach for aggregative mean field games of controls with mixed and final constraints. (English) Zbl 1511.49024 SIAM J. Control Optim. 61, No. 1, 105-134 (2023). Reviewer: Savin Treanta (Bucureşti) MSC: 49N80 91A07 91A16 49N60 PDFBibTeX XMLCite \textit{J. F. Bonnans} et al., SIAM J. Control Optim. 61, No. 1, 105--134 (2023; Zbl 1511.49024) Full Text: DOI arXiv
Bettiol, Piernicola; Mariconda, Carlo Uniform boundedness for the optimal controls of a discontinuous, non-convex Bolza problem. (English) Zbl 1507.49032 ESAIM, Control Optim. Calc. Var. 29, Paper No. 12, 20 p. (2023). MSC: 49N60 49J45 49K05 90C25 PDFBibTeX XMLCite \textit{P. Bettiol} and \textit{C. Mariconda}, ESAIM, Control Optim. Calc. Var. 29, Paper No. 12, 20 p. (2023; Zbl 1507.49032) Full Text: DOI arXiv
Granucci, Tiziano Everywhere Hölder continuity of vectorial local minimizers of special classes of integral functionals with rank one integrands. (English) Zbl 1509.49019 Monatsh. Math. 200, No. 2, 271-300 (2023). Reviewer: Saeid Shokooh (Gonbad Qabus) MSC: 49N60 46N20 35J50 PDFBibTeX XMLCite \textit{T. Granucci}, Monatsh. Math. 200, No. 2, 271--300 (2023; Zbl 1509.49019) Full Text: DOI
Chen, Zhan; Shao, Yuanzhen A new approach to constrained total variation solvation models and the study of solute-solvent interface profiles. (English) Zbl 1524.94010 Comput. Math. Appl. 130, 119-136 (2023). MSC: 94A08 35Q60 49N60 35A15 49-02 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{Y. Shao}, Comput. Math. Appl. 130, 119--136 (2023; Zbl 1524.94010) Full Text: DOI arXiv
Mariconda, Carlo Non-occurrence of gap for one-dimensional non-autonomous functionals. (English) Zbl 1504.49032 Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 55, 22 p. (2023). MSC: 49J45 49N60 PDFBibTeX XMLCite \textit{C. Mariconda}, Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 55, 22 p. (2023; Zbl 1504.49032) Full Text: DOI arXiv
Coffie, Emmanuel; Duedahl, Sindre; Proske, Frank Sensitivity analysis with respect to a stochastic stock price model with rough volatility via a Bismut-Elworthy-Li formula for singular SDEs. (English) Zbl 1502.60090 Stochastic Processes Appl. 156, 156-195 (2023). MSC: 60H10 49N60 91G80 PDFBibTeX XMLCite \textit{E. Coffie} et al., Stochastic Processes Appl. 156, 156--195 (2023; Zbl 1502.60090) Full Text: DOI arXiv
Brizzi, Camilla; De Pascale, Luigi A property of absolute minimizers in \(L^\infty\) calculus of variations and of solutions of the Aronsson-Euler equation. (English) Zbl 1500.49010 Adv. Differ. Equ. 28, No. 3-4, 287-310 (2023). MSC: 49K20 49K30 49N60 PDFBibTeX XMLCite \textit{C. Brizzi} and \textit{L. De Pascale}, Adv. Differ. Equ. 28, No. 3--4, 287--310 (2023; Zbl 1500.49010) Full Text: arXiv Link
Andreucci, Giovanna; Focardi, Matteo The classical obstacle problem with Hölder continuous coefficients. (English) Zbl 1501.35222 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 226, Article ID 113139, 17 p. (2023). MSC: 35J86 35R35 49N60 PDFBibTeX XMLCite \textit{G. Andreucci} and \textit{M. Focardi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 226, Article ID 113139, 17 p. (2023; Zbl 1501.35222) Full Text: DOI arXiv
Nevali, Leonardo Higher differentiability of solutions for a class of obstacle problems with non standard growth conditions. (English) Zbl 1498.49064 J. Math. Anal. Appl. 518, No. 1, Article ID 126672, 25 p. (2023). MSC: 49N60 49J40 PDFBibTeX XMLCite \textit{L. Nevali}, J. Math. Anal. Appl. 518, No. 1, Article ID 126672, 25 p. (2023; Zbl 1498.49064) Full Text: DOI
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira Regularity for nonuniformly elliptic equations with \(p,q-\)growth and explicit \(x,u-\)dependence. arXiv:2309.15804 Preprint, arXiv:2309.15804 [math.AP] (2023). MSC: 35D30 35J15 35J60 35B45 49N60 BibTeX Cite \textit{G. Cupini} et al., ``Regularity for nonuniformly elliptic equations with $p,q-$growth and explicit $x,u-$dependence'', Preprint, arXiv:2309.15804 [math.AP] (2023) Full Text: arXiv OA License
De Lellis, Camillo; Focardi, Matteo The regularity theory for the Mumford-Shah functional on the plane. arXiv:2308.14660 Preprint, arXiv:2308.14660 [math.AP] (2023). MSC: 49Q20 49N60 BibTeX Cite \textit{C. De Lellis} and \textit{M. Focardi}, ``The regularity theory for the Mumford-Shah functional on the plane'', Preprint, arXiv:2308.14660 [math.AP] (2023) Full Text: arXiv OA License
Ried, Tobias; Román, Carlos Domain branching in micromagnetism: scaling law for the global and local energies. arXiv:2308.07239 Preprint, arXiv:2308.07239 [math.AP] (2023). MSC: 49N60 82D40 74N15 BibTeX Cite \textit{T. Ried} and \textit{C. Román}, ``Domain branching in micromagnetism: scaling law for the global and local energies'', Preprint, arXiv:2308.07239 [math.AP] (2023) Full Text: arXiv OA License
Krühner, Paul; Xu, Shijie Explicit Local density bounds for Itô-processes with irregular drift. arXiv:2308.02241 Preprint, arXiv:2308.02241 [math.PR] (2023). MSC: 60H10 49N60 BibTeX Cite \textit{P. Krühner} and \textit{S. Xu}, ``Explicit Local density bounds for It\^o-processes with irregular drift'', Preprint, arXiv:2308.02241 [math.PR] (2023) Full Text: arXiv OA License
Nastasi, Antonella; Camacho, Cintia Pacchiano Regularity results for quasiminima of a class of double phase problems. arXiv:2308.01221 Preprint, arXiv:2308.01221 [math.AP] (2023). MSC: 49N60 31E05 30L99 35J60 BibTeX Cite \textit{A. Nastasi} and \textit{C. P. Camacho}, ``Regularity results for quasiminima of a class of double phase problems'', Preprint, arXiv:2308.01221 [math.AP] (2023) Full Text: arXiv OA License
Knees, Dorothee; Owczarek, Sebastian; Neff, Patrizio A global higher regularity result for the static relaxed micromorphic model on smooth domains. arXiv:2307.02621 Preprint, arXiv:2307.02621 [math.AP] (2023). MSC: 35Q74 35B65 49N60 74A35 74G40 BibTeX Cite \textit{D. Knees} et al., ``A global higher regularity result for the static relaxed micromorphic model on smooth domains'', Preprint, arXiv:2307.02621 [math.AP] (2023) Full Text: arXiv OA License
Bianca, Vincenzo; Pimentel, Edgard A.; Urbano, José Miguel Improved regularity for a Hessian-dependent functional. arXiv:2306.10995 Preprint, arXiv:2306.10995 [math.AP] (2023). MSC: 35B38 49N60 49Q20 BibTeX Cite \textit{V. Bianca} et al., ``Improved regularity for a Hessian-dependent functional'', Preprint, arXiv:2306.10995 [math.AP] (2023) Full Text: arXiv OA License
Borza, Samuël; Tashiro, Kenshiro Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler Heisenberg groups. arXiv:2305.16722 Preprint, arXiv:2305.16722 [math.MG] (2023). MSC: 53C17 26A33 49N60 49Q22 BibTeX Cite \textit{S. Borza} and \textit{K. Tashiro}, ``Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler Heisenberg groups'', Preprint, arXiv:2305.16722 [math.MG] (2023) Full Text: arXiv OA License
Breiten, Tobias; Schröder, Jesper Local well-posedness of the Mortensen observer. arXiv:2305.09382 Preprint, arXiv:2305.09382 [math.OC] (2023). MSC: 49J15 49L12 49N60 93B53 BibTeX Cite \textit{T. Breiten} and \textit{J. Schröder}, ``Local well-posedness of the Mortensen observer'', Preprint, arXiv:2305.09382 [math.OC] (2023) Full Text: arXiv OA License
Skorobogatova, Anna Rectifiability of flat singular points for area-minimizing mod\((2Q)\) hypercurrents. arXiv:2305.03781 Preprint, arXiv:2305.03781 [math.AP] (2023). MSC: 49Q15 49Q05 49N60 35B65 35J47 BibTeX Cite \textit{A. Skorobogatova}, ``Rectifiability of flat singular points for area-minimizing mod$(2Q)$ hypercurrents'', Preprint, arXiv:2305.03781 [math.AP] (2023) Full Text: arXiv OA License
De Lellis, Camillo; Skorobogatova, Anna The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than \(1\). arXiv:2304.11555 Preprint, arXiv:2304.11555 [math.AP] (2023). MSC: 49Q15 49Q05 49N60 35B65 35J47 BibTeX Cite \textit{C. De Lellis} and \textit{A. Skorobogatova}, ``The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than $1$'', Preprint, arXiv:2304.11555 [math.AP] (2023) Full Text: arXiv OA License
De Lellis, Camillo; Minter, Paul; Skorobogatova, Anna The Fine Structure of the Singular Set of Area-Minimizing Integral Currents III: Frequency 1 Flat Singular Points and \(\mathcal{H}^{m-2}\)-a.e. Uniqueness of Tangent Cones. arXiv:2304.11553 Preprint, arXiv:2304.11553 [math.AP] (2023). MSC: 49Q15 49Q05 49N60 35B65 35J47 BibTeX Cite \textit{C. De Lellis} et al., ``The Fine Structure of the Singular Set of Area-Minimizing Integral Currents III: Frequency 1 Flat Singular Points and $\mathcal{H}^{m-2}$-a.e. Uniqueness of Tangent Cones'', Preprint, arXiv:2304.11553 [math.AP] (2023) Full Text: arXiv OA License
De Lellis, Camillo; Skorobogatova, Anna The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points. arXiv:2304.11552 Preprint, arXiv:2304.11552 [math.AP] (2023). MSC: 49Q15 49Q05 49N60 35B65 35J47 BibTeX Cite \textit{C. De Lellis} and \textit{A. Skorobogatova}, ``The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points'', Preprint, arXiv:2304.11552 [math.AP] (2023) Full Text: arXiv OA License
Granucci, Tiziano On the local everywhere bounndedness of the minima of a class of integral functionals of the Calculus of the Variations with 1<q<2. arXiv:2304.07128 Preprint, arXiv:2304.07128 [math.OC] (2023). MSC: 49N60 35J50 BibTeX Cite \textit{T. Granucci}, ``On the local everywhere bounndedness of the minima of a class of integral functionals of the Calculus of the Variations with 1<q<2'', Preprint, arXiv:2304.07128 [math.OC] (2023) Full Text: arXiv OA License
McCann, Robert J.; Rankin, Cale; Zhang, Kelvin Shuangjian \(C^{1,1}\) regularity for principal-agent problems. arXiv:2303.04937 Preprint, arXiv:2303.04937 [math.AP] (2023). MSC: 49N60 91B43 35R35 52A41 58E50 BibTeX Cite \textit{R. J. McCann} et al., ``$C^{1,1}$ regularity for principal-agent problems'', Preprint, arXiv:2303.04937 [math.AP] (2023) Full Text: arXiv OA License
Granucci, Tiziano On the local everywhere bounndedness of the minima of a class of integral functionals of the Calculus of the Variations. arXiv:2302.09333 Preprint, arXiv:2302.09333 [math.OC] (2023). MSC: 49N60 35J50 BibTeX Cite \textit{T. Granucci}, ``On the local everywhere bounndedness of the minima of a class of integral functionals of the Calculus of the Variations'', Preprint, arXiv:2302.09333 [math.OC] (2023) Full Text: arXiv OA License
Bildhauer, Michael; Fuchs, Martin Splitting-type variational problems with asymmetrical growth conditions. arXiv:2301.01072 Preprint, arXiv:2301.01072 [math.AP] (2023). MSC: 49N60 49N99 35J45 BibTeX Cite \textit{M. Bildhauer} and \textit{M. Fuchs}, ``Splitting-type variational problems with asymmetrical growth conditions'', Preprint, arXiv:2301.01072 [math.AP] (2023) Full Text: arXiv OA License
Ge, Bin; Zhao, Jin-Wei; Yuan, Wen-Shuo On double-phase problems without any growth and Ambrosetti-Rabinowitz conditions. (English) Zbl 1509.49018 J. Math. Phys. 63, No. 9, Article ID 091502, 12 p. (2022). MSC: 49N60 35J62 35J60 35J20 46E35 PDFBibTeX XMLCite \textit{B. Ge} et al., J. Math. Phys. 63, No. 9, Article ID 091502, 12 p. (2022; Zbl 1509.49018) Full Text: DOI
dos Prazeres, Disson; Pimentel, Edgard A.; Rampasso, Giane C. A note on the density of the partial regularity result in the class of viscosity solutions. (English) Zbl 1510.35089 Rev. Unión Mat. Argent. 63, No. 2, 397-411 (2022). MSC: 35B65 35D40 35J60 35J70 49N60 49J45 PDFBibTeX XMLCite \textit{D. dos Prazeres} et al., Rev. Unión Mat. Argent. 63, No. 2, 397--411 (2022; Zbl 1510.35089) Full Text: DOI arXiv
Averboukh, Yuriĭ Vladimirovich A mean field type differential inclusion with upper semicontinuous right-hand side. (English) Zbl 1507.93105 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 32, No. 4, 489-501 (2022). MSC: 93C15 34A60 93C25 34G20 47J22 49N60 PDFBibTeX XMLCite \textit{Y. V. Averboukh}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 32, No. 4, 489--501 (2022; Zbl 1507.93105) Full Text: DOI MNR
Arjmand, Saeed Sadeghi; Mazanti, Guilherme Nonsmooth mean field games with state constraints. (English) Zbl 1505.49028 ESAIM, Control Optim. Calc. Var. 28, Paper No. 74, 42 p. (2022). MSC: 49N80 49J52 35Q89 49K15 49N60 35A01 91A16 PDFBibTeX XMLCite \textit{S. S. Arjmand} and \textit{G. Mazanti}, ESAIM, Control Optim. Calc. Var. 28, Paper No. 74, 42 p. (2022; Zbl 1505.49028) Full Text: DOI arXiv
Spolaor, Luca Monotonicity formulas in the calculus of variation. (English) Zbl 1512.49045 Notices Am. Math. Soc. 69, No. 10, 1731-1737 (2022). Reviewer: Alberto Maione (Freiburg im Breisgau) MSC: 49Q20 49J10 49N60 35B65 PDFBibTeX XMLCite \textit{L. Spolaor}, Notices Am. Math. Soc. 69, No. 10, 1731--1737 (2022; Zbl 1512.49045) Full Text: DOI
Herán, Andreas Hölder continuity of parabolic quasi-minimizers on metric measure spaces. (English) Zbl 1508.30112 J. Differ. Equations 341, 208-262 (2022). MSC: 30L99 49N60 PDFBibTeX XMLCite \textit{A. Herán}, J. Differ. Equations 341, 208--262 (2022; Zbl 1508.30112) Full Text: DOI
Leparoux, Clara; Hérissé, Bruno; Jean, Frédéric Structure of optimal control for planetary landing with control and state constraints. (English) Zbl 1503.49007 ESAIM, Control Optim. Calc. Var. 28, Paper No. 67, 22 p. (2022). MSC: 49J35 49K35 49N60 49K15 49N90 PDFBibTeX XMLCite \textit{C. Leparoux} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 67, 22 p. (2022; Zbl 1503.49007) Full Text: DOI arXiv
Ok, Jihoon; Scilla, Giovanni; Stroffolini, Bianca Boundary partial regularity for minimizers of discontinuous quasiconvex integrals with general growth. (English) Zbl 1505.35148 Commun. Pure Appl. Anal. 21, No. 12, 4173-4214 (2022). Reviewer: Vincenzo Vespri (Firenze) MSC: 35J47 46E35 49N60 PDFBibTeX XMLCite \textit{J. Ok} et al., Commun. Pure Appl. Anal. 21, No. 12, 4173--4214 (2022; Zbl 1505.35148) Full Text: DOI arXiv
Bildhauer, Michael; Fuchs, Martin On the global regularity for minimizers of variational integrals: splitting-type problems in 2D and extensions to the general anisotropic setting. (English) Zbl 1500.49021 J. Elliptic Parabol. Equ. 8, No. 2, 853-884 (2022). MSC: 49N60 49Q20 49J45 PDFBibTeX XMLCite \textit{M. Bildhauer} and \textit{M. Fuchs}, J. Elliptic Parabol. Equ. 8, No. 2, 853--884 (2022; Zbl 1500.49021) Full Text: DOI arXiv
Azanzal, Achraf; Allalou, Chakir; Melliani, Said Well-posedness, analyticity and time decay of the 3D fractional magneto-hydrodynamics equations in critical Fourier-Besov-Morrey spaces with variable exponent. (English) Zbl 1500.35221 J. Elliptic Parabol. Equ. 8, No. 2, 723-742 (2022). MSC: 35Q30 35S30 42B25 42B37 46F30 49N60 76W05 76D05 35A01 35A02 26A33 35R11 35Q35 PDFBibTeX XMLCite \textit{A. Azanzal} et al., J. Elliptic Parabol. Equ. 8, No. 2, 723--742 (2022; Zbl 1500.35221) Full Text: DOI
Ebeling-Rump, Moritz; Hömberg, Dietmar; Lasarzik, Robert Two-scale topology optimization with heterogeneous mesostructures based on a local volume constraint. (English) Zbl 1524.49076 Comput. Math. Appl. 126, 100-114 (2022). MSC: 49Q20 49Q10 74P15 65K10 49N60 PDFBibTeX XMLCite \textit{M. Ebeling-Rump} et al., Comput. Math. Appl. 126, 100--114 (2022; Zbl 1524.49076) Full Text: DOI
Djida, Jean-Daniel; Mophou, Gisèle; Warma, Mahamadi Optimal control of mixed local-nonlocal parabolic PDE with singular boundary-exterior data. (English) Zbl 1498.49006 Evol. Equ. Control Theory 11, No. 6, 2129-2163 (2022). MSC: 49J20 49K20 35S15 49N60 PDFBibTeX XMLCite \textit{J.-D. Djida} et al., Evol. Equ. Control Theory 11, No. 6, 2129--2163 (2022; Zbl 1498.49006) Full Text: DOI arXiv
He, Yuchen; Kang, Sung Ha; Liao, Wenjing; Liu, Hao; Liu, Yingjie Numerical identification of nonlocal potentials in aggregation. (English) Zbl 1500.65054 Commun. Comput. Phys. 32, No. 3, 638-670 (2022). MSC: 65M30 65M06 65N06 65K10 49M41 49N60 60H50 92C17 92D25 35Q92 93A16 35R30 PDFBibTeX XMLCite \textit{Y. He} et al., Commun. Comput. Phys. 32, No. 3, 638--670 (2022; Zbl 1500.65054) Full Text: DOI arXiv
Karppinen, Arttu; Lee, Mikyoung Hölder continuity of the minimizer of an obstacle problem with generalized Orlicz growth. (English) Zbl 1527.49027 Int. Math. Res. Not. 2022, No. 19, 15313-15354 (2022). Reviewer: Savin Treanţă (Bucureşti) MSC: 49N60 49J10 PDFBibTeX XMLCite \textit{A. Karppinen} and \textit{M. Lee}, Int. Math. Res. Not. 2022, No. 19, 15313--15354 (2022; Zbl 1527.49027) Full Text: DOI arXiv
De Rosa, Mariapia; Grimaldi, Antonio Giuseppe A local boundedness result for a class of obstacle problems with non-standard growth conditions. (English) Zbl 1500.35135 J. Optim. Theory Appl. 195, No. 1, 282-296 (2022). MSC: 35J47 49N60 PDFBibTeX XMLCite \textit{M. De Rosa} and \textit{A. G. Grimaldi}, J. Optim. Theory Appl. 195, No. 1, 282--296 (2022; Zbl 1500.35135) Full Text: DOI arXiv
Bulíček, Miroslav; Gwiazda, Piotr; Skrzeczkowski, Jakub On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals. (English) Zbl 1497.49049 Arch. Ration. Mech. Anal. 246, No. 1, 209-240 (2022). MSC: 49N60 49J21 35J20 35B65 PDFBibTeX XMLCite \textit{M. Bulíček} et al., Arch. Ration. Mech. Anal. 246, No. 1, 209--240 (2022; Zbl 1497.49049) Full Text: DOI arXiv
Campos Cordero, Judith Partial regularity for local minimizers of variational integrals with lower-order terms. (English) Zbl 1497.35015 Q. J. Math. 73, No. 3, 805-847 (2022). MSC: 35A15 35B65 49N60 PDFBibTeX XMLCite \textit{J. Campos Cordero}, Q. J. Math. 73, No. 3, 805--847 (2022; Zbl 1497.35015) Full Text: DOI arXiv
Adimurthi, Karthik; Tewary, Vivek Borderline Lipschitz regularity for bounded minimizers of functionals with \((p,q)\)-growth. (English) Zbl 1498.35206 Forum Math. 34, No. 5, 1365-1381 (2022). MSC: 35J20 49N60 PDFBibTeX XMLCite \textit{K. Adimurthi} and \textit{V. Tewary}, Forum Math. 34, No. 5, 1365--1381 (2022; Zbl 1498.35206) Full Text: DOI arXiv
Gentile, Andrea Regularity for minimizers of a class of non-autonomous functionals with sub-quadratic growth. (English) Zbl 1494.49025 Adv. Calc. Var. 15, No. 3, 385-399 (2022). MSC: 49N60 35B65 35J60 49N99 PDFBibTeX XMLCite \textit{A. Gentile}, Adv. Calc. Var. 15, No. 3, 385--399 (2022; Zbl 1494.49025) Full Text: DOI arXiv
Li, Zhuolin Partial regularity for \(\omega\)-minimizers of quasiconvex functionals. (English) Zbl 1504.49055 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 178, 40 p. (2022). Reviewer: Elvira Zappale (Roma) MSC: 49N60 PDFBibTeX XMLCite \textit{Z. Li}, Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 178, 40 p. (2022; Zbl 1504.49055) Full Text: DOI arXiv
Glizer, Valery Y.; Kelis, Oleg Singular linear-quadratic zero-sum differential games and \(H_\infty\) control problems. Regularization approach. (English) Zbl 1504.49001 Static & Dynamic Game Theory: Foundations & Applications. Cham: Birkhäuser (ISBN 978-3-031-07050-1/hbk; 978-3-031-07053-2/pbk; 978-3-031-07051-8/ebook). x, 205 p. (2022). Reviewer: Savin Treanta (Bucureşti) MSC: 49-01 01-01 49N70 49N10 91A23 93B36 91A10 49N60 49S05 PDFBibTeX XMLCite \textit{V. Y. Glizer} and \textit{O. Kelis}, Singular linear-quadratic zero-sum differential games and \(H_\infty\) control problems. Regularization approach. Cham: Birkhäuser (2022; Zbl 1504.49001) Full Text: DOI
Hafemeyer, D.; Mannel, F. A path-following inexact Newton method for PDE-constrained optimal control in BV. (English) Zbl 1494.49020 Comput. Optim. Appl. 82, No. 3, 753-794 (2022). MSC: 49M05 49M15 49M25 49J20 49K20 49N60 35J70 49-04 PDFBibTeX XMLCite \textit{D. Hafemeyer} and \textit{F. Mannel}, Comput. Optim. Appl. 82, No. 3, 753--794 (2022; Zbl 1494.49020) Full Text: DOI arXiv
Manita, Larisa; Ronzhina, Mariya Optimal spiral-like solutions near a singular extremal in a two-input control problem. (English) Zbl 07536449 Discrete Contin. Dyn. Syst., Ser. B 27, No. 6, 3325-3343 (2022). MSC: 49J10 49N60 93C05 PDFBibTeX XMLCite \textit{L. Manita} and \textit{M. Ronzhina}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 6, 3325--3343 (2022; Zbl 07536449) Full Text: DOI
Giannetti, F.; Treu, G. On the Lipschitz regularity for minima of functionals depending on \(x\), \(u\), and \(\nabla{u}\) under the bounded slope condition. (English) Zbl 1490.35064 SIAM J. Control Optim. 60, No. 3, 1347-1364 (2022). MSC: 35B51 49N60 PDFBibTeX XMLCite \textit{F. Giannetti} and \textit{G. Treu}, SIAM J. Control Optim. 60, No. 3, 1347--1364 (2022; Zbl 1490.35064) Full Text: DOI
Zhang, Qianru; Tu, Bin; Fang, Qiaojun; Lu, Benzhuo A structure-preserving finite element discretization for the time-dependent Nernst-Planck equation. (English) Zbl 1489.65150 J. Appl. Math. Comput. 68, No. 3, 1545-1564 (2022). MSC: 65M60 65M06 65M22 65N30 65K10 49N60 49K10 35Q81 PDFBibTeX XMLCite \textit{Q. Zhang} et al., J. Appl. Math. Comput. 68, No. 3, 1545--1564 (2022; Zbl 1489.65150) Full Text: DOI
Du, Qiang; Mengesha, Tadele; Tian, Xiaochuan Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization. (English) Zbl 1498.46043 Anal. Appl., Singap. 20, No. 3, 579-614 (2022). MSC: 46E35 35A23 49N60 47G10 35Q74 PDFBibTeX XMLCite \textit{Q. Du} et al., Anal. Appl., Singap. 20, No. 3, 579--614 (2022; Zbl 1498.46043) Full Text: DOI arXiv
Shan, Yanan; Gao, Hongya Hölder continuity for vectorial local minimizers of variational integrals. (English) Zbl 1487.49047 Rocky Mt. J. Math. 52, No. 1, 289-297 (2022). MSC: 49N60 PDFBibTeX XMLCite \textit{Y. Shan} and \textit{H. Gao}, Rocky Mt. J. Math. 52, No. 1, 289--297 (2022; Zbl 1487.49047) Full Text: DOI Link
Bornia, Giorgio; Chierici, Andrea; Ratnavale, Saikanth A comparison of regularization methods for boundary optimal control problems. (English) Zbl 1487.49046 Int. J. Numer. Anal. Model. 19, No. 2-3, 329-346 (2022). MSC: 49N60 49M25 35R11 PDFBibTeX XMLCite \textit{G. Bornia} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 329--346 (2022; Zbl 1487.49046) Full Text: Link
Bellova, Katarina; Julia, Antoine; Otto, Felix Uniform energy distribution in a pattern-forming system of surface charges. (English) Zbl 1487.49049 Rev. Mat. Iberoam. 38, No. 3, 783-822 (2022). MSC: 49Q10 35J50 49S05 49N60 PDFBibTeX XMLCite \textit{K. Bellova} et al., Rev. Mat. Iberoam. 38, No. 3, 783--822 (2022; Zbl 1487.49049) Full Text: DOI arXiv
Caillau, Jean-Baptiste; Féjoz, Jacques; Orieux, Michaël; Roussarie, Robert On singularities of minimum time control-affine systems. (English) Zbl 1487.49021 SIAM J. Control Optim. 60, No. 2, 1143-1162 (2022). MSC: 49K15 49N60 37D20 70Q05 PDFBibTeX XMLCite \textit{J.-B. Caillau} et al., SIAM J. Control Optim. 60, No. 2, 1143--1162 (2022; Zbl 1487.49021) Full Text: DOI
Buffa, Vito; Kinnunen, Juha; Camacho, Cintia Pacchiano Variational solutions to the total variation flow on metric measure spaces. (English) Zbl 1492.30118 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 220, Article ID 112859, 31 p. (2022). MSC: 30L99 35K99 35A15 49J27 49N60 PDFBibTeX XMLCite \textit{V. Buffa} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 220, Article ID 112859, 31 p. (2022; Zbl 1492.30118) Full Text: DOI arXiv
De Lellis, Camillo; Hirsch, Jonas; Marchese, Andrea; Stuvard, Salvatore Area-minimizing currents mod \(2Q\): linear regularity theory. (English) Zbl 1500.49026 Commun. Pure Appl. Math. 75, No. 1, 83-127 (2022). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 49Q20 49Q15 49N60 PDFBibTeX XMLCite \textit{C. De Lellis} et al., Commun. Pure Appl. Math. 75, No. 1, 83--127 (2022; Zbl 1500.49026) Full Text: DOI arXiv
Meyer, C.; Weymuth, M. A priori error analysis for an optimal control problem governed by a variational inequality of the second kind. (English) Zbl 1486.49014 Numer. Funct. Anal. Optim. 43, No. 1, 35-67 (2022). MSC: 49J40 49N60 65G99 65K15 65N30 PDFBibTeX XMLCite \textit{C. Meyer} and \textit{M. Weymuth}, Numer. Funct. Anal. Optim. 43, No. 1, 35--67 (2022; Zbl 1486.49014) Full Text: DOI arXiv
Bernis, Julien; Bettiol, Piernicola; Mariconda, Carlo Some regularity properties on Bolza problems in the calculus of variations. (English) Zbl 1486.49001 C. R., Math., Acad. Sci. Paris 360, 205-218 (2022). MSC: 49J05 49J15 49J30 49N60 PDFBibTeX XMLCite \textit{J. Bernis} et al., C. R., Math., Acad. Sci. Paris 360, 205--218 (2022; Zbl 1486.49001) Full Text: DOI
Hästö, Peter; Ok, Jihoon Maximal regularity for local minimizers of non-autonomous functionals. (English) Zbl 1485.49044 J. Eur. Math. Soc. (JEMS) 24, No. 4, 1285-1334 (2022). MSC: 49N60 35A15 35B65 35J62 46E35 PDFBibTeX XMLCite \textit{P. Hästö} and \textit{J. Ok}, J. Eur. Math. Soc. (JEMS) 24, No. 4, 1285--1334 (2022; Zbl 1485.49044) Full Text: DOI
Nhu, V. H.; Tuan, N. Q.; Giang, N. B.; Huong, N. T. T. Continuity regularity of optimal control solutions to distributed and boundary semilinear elliptic optimal control problems with mixed pointwise control-state constraints. (English) Zbl 1485.49029 J. Math. Anal. Appl. 512, No. 1, Article ID 126139, 33 p. (2022). MSC: 49K20 49N60 35J61 PDFBibTeX XMLCite \textit{V. H. Nhu} et al., J. Math. Anal. Appl. 512, No. 1, Article ID 126139, 33 p. (2022; Zbl 1485.49029) Full Text: DOI
Mehlitz, Patrick; Minchenko, Leonid I. R-regularity of set-valued mappings under the relaxed constant positive linear dependence constraint qualification with applications to parametric and bilevel optimization. (English) Zbl 1484.49035 Set-Valued Var. Anal. 30, No. 1, 179-205 (2022). MSC: 49J53 90C30 90C31 49N60 PDFBibTeX XMLCite \textit{P. Mehlitz} and \textit{L. I. Minchenko}, Set-Valued Var. Anal. 30, No. 1, 179--205 (2022; Zbl 1484.49035) Full Text: DOI arXiv
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph Boundary regularity for elliptic systems with \(p,q\)-growth. (English) Zbl 1487.35147 J. Math. Pures Appl. (9) 159, 250-293 (2022). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 35B65 35B45 49N60 35J50 35J57 35J60 PDFBibTeX XMLCite \textit{V. Bögelein} et al., J. Math. Pures Appl. (9) 159, 250--293 (2022; Zbl 1487.35147) Full Text: DOI
Foralli, Niccolò; Giliberti, Giovanni Higher differentiability of solutions for a class of obstacle problems with variable exponents. (English) Zbl 1482.49035 J. Differ. Equations 313, 244-268 (2022). MSC: 49N15 49N60 49N99 35B65 PDFBibTeX XMLCite \textit{N. Foralli} and \textit{G. Giliberti}, J. Differ. Equations 313, 244--268 (2022; Zbl 1482.49035) Full Text: DOI arXiv
Leonardi, Salvatore; Leonetti, Francesco; Rocha, Eugenio; Staicu, Vasile Butterfly support for off diagonal coefficients and boundedness of solutions to quasilinear elliptic systems. (English) Zbl 1481.35172 Adv. Nonlinear Anal. 11, 672-683 (2022). MSC: 35J47 35J61 35B65 49N60 PDFBibTeX XMLCite \textit{S. Leonardi} et al., Adv. Nonlinear Anal. 11, 672--683 (2022; Zbl 1481.35172) Full Text: DOI