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A regularity result for nonlinear elliptic systems. (English) Zbl 0219.35036

MSC:
35J50 Variational methods for elliptic systems
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[1] Giusti, E., Miranda, M.: Un esempio di soluzioni discontinue per un problema di minimo relativo ad un integrale regolare del calcolo delle variazioni. Boll. U. Mat. Ital. (4),2, 219-226 (1968). · Zbl 0155.44501
[2] Hartmann, P., Stampacchia, G.: On some nonlinear elliptic differential-functional equations. Acta Math.115, 271-310 (1966). · Zbl 0142.38102
[3] Morrey, C. B., Jr.: Existence and differentiability theorems for the solutions of variational problems for multiple integrals. Bull. Amer. Math. Soc.46, 439-458 (1940). · JFM 66.0476.02
[4] ? Multiple integrals in the calculus of variations. Berlin-Heidelberg-New York: Springer 1966. · Zbl 0142.38701
[5] ?: Partial regularity results for non-linear elliptic systems. J. Math. Mech.17, 649-670 (1968). · Zbl 0175.11901
[6] Nirenberg, L.: Remarks on strongly elliptic partial differential equations. Commun. Pure Appl. Math.8, 649-675 (1955). · Zbl 0067.07602
[7] Stampacchia, G.: Variational inequalities, from: Theory and application of monotone operators, editor: A. Ghizzetti. Proceedings of a NATO Advanced Study Institute, Oderisi, Gubbio 1969. · Zbl 0167.11501
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