Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
Vol. 52, No. 2, pp. 139-151 (1995)

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Existence Theorems for Some Elliptic Systems

Robert Dalmasso

Laboratoire LMC-IMAG, Equipe EDP, Tour IRMA, B.P. 53,
F-38041 Grenoble Cedex 9 - FRANCE

Abstract: We investigate the existence of solutions of systems of semilinear elliptic equations. The proof makes use of the Leray-Schauder degree theory. We also study the corresponding linear problem.

Keywords: A priori bounds; elliptic systems; Leray-Schauder degree.

Classification (MSC2000): 35B45, 35J55

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Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.

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