Campanato, Sergio Hölder continuity of the solutions of some nonlinear elliptic systems. (English) Zbl 0519.35027 Adv. Math. 48, 15-43 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 45 Documents MSC: 35J60 Nonlinear elliptic equations 35B65 Smoothness and regularity of solutions to PDEs Keywords:Hölder continuity; nonlinear elliptic systems; interior fundamental estimate PDFBibTeX XMLCite \textit{S. Campanato}, Adv. Math. 48, 15--43 (1983; Zbl 0519.35027) Full Text: DOI References: [1] Campanato, S., Proprietà di hölderianità di alcune classi di funzioni, Ann. Scuola Norm. Sup. Pisa, 17, 175-188 (1963) · Zbl 0121.29201 [2] Campanato, S., Equazioni ellitiche del \(II^o\) ordine e spazi \(L^{2,λ}\), Ann. Matem. Pura Appl., 69, 321-382 (1965) · Zbl 0145.36603 [3] Campanato, S., Sistemi ellittici in forma divergenza, Regolarità all’interno. Regolarità all’interno, Quaderni della Scuola Norm. Sup. Pisa (1980) · Zbl 0453.35026 [4] Campanato, S., Differentiability of the solutions of non-linear elliptic systems with natural growth, Ann. di Matem. Pura e Appl., 131, 75-106 (1982) · Zbl 0493.35022 [5] Campanato, S., Risultati di regolarità per soluzioni di sistemi ellittici, (Proceedings of the \(VI^o\) Congress G.M.E.L.. Proceedings of the \(VI^o\) Congress G.M.E.L., Luxembourg (1981)) · Zbl 0492.35017 [6] Giaquinta, M.; Modica, G., Regularity results for some classes of higher order non linear elliptic systems, J. Reine Angew. Math. (1979) · Zbl 0409.35015 [7] Morrey, C. B., Multiple Integrals in the Calculus of Variations (1966), Springer-Verlag: Springer-Verlag New York · Zbl 0142.38701 [8] Morrey, C. B., Partial regularity results for non-linear elliptic systems, J. Math. Mech., 17 (1968) · Zbl 0175.11901 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.