Global branching for discontinuous problems involving the p-Laplacian

Abstract

In this article, we study elliptic problems with discontinuous nonlinearities involving the p-Laplacian both in bounded and unbounded domains. We prove that there exists a global branch of positive solutions under some suitable assumptions of the nonlinearities. Our results extend the corresponding ones of the Laplacian due to Ambrosetti, et al.

Keywords

• Global bifurcation
• p-Laplacian