Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 66, pp. 1-10.

Title: Global branching for discontinuous problems involving the p-Laplacian
        
Authors: Guowei Dai (Northwest Normal Univ., Lanzhou, China)
         Ruyun Ma   (Northwest Normal Univ., Lanzhou, China)

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.

Submitted July 23, 2012. Published March 05, 2013.
Math Subject Classifications: 35B32, 34B18, 35R70.
Key Words: Global bifurcation; p-Laplacian