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A discontinuous solution of a mildly nonlinear elliptic system. (English) Zbl 0267.35038


MSC:

35J60 Nonlinear elliptic equations
35D05 Existence of generalized solutions of PDE (MSC2000)
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References:

[1] Heinz, E.: On certain nonlinear elliptic differential equations and universal mappings. J. Analyse math.5, 197-272 (1956-1957) · Zbl 0085.08701
[2] Heinz, E., Tomi, F.: Zu einem Satz von S. Hildebrandt ?ber das Randverhalten von Minimalfl?chen. Math. Z.111 372-386 (1969) · Zbl 0176.09804
[3] Lady?enskaya, O.A. Ural’zewa, N.N.: Linear and quasilinear equations of elliptic type. New York: Academic Press 1968
[4] Morrey, C. B., Jr: Muliple integrals in the calculus of variations. Berlin-Heidelberg-New York: Springer 1966. · Zbl 0142.38701
[5] Tomi, F.: Ein einfacher Beweis eines Regularit?tssatzes f?r schwache L?sungen gewisser elliptischer Systeme. Math. Z.112, 214-218 (1969) · Zbl 0177.14704
[6] Wahl, W. von: ?ber die H?lderstetigkeit der schwachen L?sungen gewisser semilinearer elliptischer Systeme. Math. Z. (to appear)
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