Existence of positive solutions for nonlinear singular boundary value problem with p -Laplacian

Abstract

Communicated by S. GeorgievIn this paper, we study the existence of positive solutions for the following Sturm-Liouville-like four-point singular boundary value problem (BVP) with p-Laplacianwhere / p (s) =|s| p−2 s, p > 1, f is a lower semi-continuous function. Using the fixed-point theorem of cone expansion and compression of norm type, the existence of positive solution and infinitely many positive solutions for Sturm-Liouvillelike singular BVP with p-Laplacian are obtained.