Abstract and Applied Analysis
Volume 6 (2001), Issue 4, Pages 229-251

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

Received 5 July 2001

Copyright © 2001 Vy Khoi Le. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.