Homotopy method for positive solutions of p-Laplace inclusions

Abstract

In this paper the compression-expansion fixed point theorems are extended to operators which are compositions of two multi-valued nonlinear maps and satisfy compactness conditions of Mönch type with respect to the weak or the strong topology. As an application, the existence of positive solutions for p-Laplace inclusions is studied.

Authors

Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

Jean-Francois Couchouron
Universite de Metz Mathematiques INRIA Lorraine Ile du Saulcy 57045 Metz, France

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J.-F. Couchouron, R. Precup, Homotopy method for positive solutions of p-Laplace inclusions, Topol. Methods Nonlinear Anal. 30 (2007) no. 1, 157-169.

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Topological Methods in Nonlinear Analysis

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