Abstract and Applied Analysis
Volume 6 (2001), Issue 4, Pages 229-251
doi:10.1155/S1085337501000574

A bifurcation result for equations with anisotropic p-Laplace-like operators

Vy Khoi Le

Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla 65409, MO, USA

Abstract

The paper is concerned with a global bifurcation result for equations whose principal parts are anisotropic p-Laplace-like operators. Using an abstract bifurcation result for equations with multivalued operators in Banach spaces together with topological degree calculations, we show the Rabinowitz alternative for the bifurcating branches.