The existence of positive solutions for nonlinear singular boundary value system with p-Laplacian

In this paper, we study the existence of positive solutions for the following nonlinear singular boundary value problem with p-Laplacian:(ϕp(u′))′+a(t)f(u(t))=0,0 1, f is lower semi-continuous functions. By using the fixed-point theorem of cone expansion and compression of norm type, the existence of positive solution and infinitely many positive solutions for nonlinear singular boundary value problem p-Laplacian are obtained.