Global branching for discontinuous problems involving the p-Laplacian

oleh: Guowei Dai, Ruyun Ma

Format: Article
Diterbitkan: Texas State University 2013-03-01

Deskripsi

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.