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Regularitätsuntersuchungen von Lösungen elliptischer Systeme von quasilinearen Differentialgleichungen zweiter Ordnung. (German) Zbl 0429.35033


MSC:

35J60 Nonlinear elliptic equations
35B65 Smoothness and regularity of solutions to PDEs
35B45 A priori estimates in context of PDEs
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References:

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[7] GIUSTI, E.: Precisazione delle funzioni H1,p e singolarità delle soluzioni deboli dei sistemi ellittici non lineari. Boll. UMI2, 71-76 (1969) · Zbl 0175.40103
[8] GIUSTI, E.: Regolarità parziale delle soluzioni di sistemi ellittici quasi lineari di ordine arbitrario. Ann. S. N. S. di Pisa23, 115-141 (1969)
[9] GIUSTI, E., MIRANDA, M.: Sulla regolarità delle soluzioni deboli di una classe di sistemi ellittici quasi lineari. Arch. Rat. Mech. Anal.31, 173-184 (1968) · Zbl 0167.10703 · doi:10.1007/BF00282679
[10] IVERT, P.-A.: Regularitätsuntersuchungen von Lösungen elliptischer Systeme von quasilinearen Differentialgleichungen zweiter Ordnung. Linköping Studies in Science and Technology. Dissertations No. 31 (1978) · Zbl 0429.35033
[11] LADYZHENSKAYA, O.A., URAL’CEVA, N.N.: Linear and Quasilinear Elliptic Equations. New York: Academic Press 1968
[12] MORREY, C.B., Jr.: Partial regularity results for nonlinear elliptic systems. J. Math. Mech.17, 649-670 (1967) · Zbl 0175.11901
[13] STEIN, E.M.: Singular Integrals and Differentiability Properties of Functions. Princeton, N.J.: Princeton University Press 1970 · Zbl 0207.13501
[14] UHLENBECK, K.: Regularity for a class of non-linear elliptic systems. Acta Math.138, 219-240 (1977) · Zbl 0372.35030 · doi:10.1007/BF02392316
[15] WIDMAN, K.-O.: The singularity of the Green function for non-uniformly elliptic partial differential equations with discontinuous coefficients. Uppsala University, Dept. Math., Report no 12/1970 · Zbl 0217.12802
[16] WIEGNER, M.: A-priori Schranken für Lösungen gewisser elliptischer Systeme. Manuscripta math.18, 279-297 (1976) · Zbl 0323.35032 · doi:10.1007/BF01245922
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