Nonzero and positive solutions of a superlinear elliptic system

Zuluaga, Mario

Archivum mathematicum, Tome 37 (2001) no. 1, pp. 63-70

Abstract (VO)

In this paper we consider the existence of nonzero solutions of an undecoupling elliptic system with zero Dirichlet condition. We use Leray-Schauder Degree Theory and arguments of Measure Theory. We will show the existence of positive solutions and we give applications to biharmonic equations and the scalar case.

Détail

Classification : 35B05, 35J45, 35J55, 35J60, 47H11, 47N20
Keywords: elliptic system; Leray-Schauder degree; maximum principle

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