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

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.