Abstract
We study the structure of positive solutions for a p-Laplacian boundary value problem involving singular and superlinear nonlinearities. We prove that there exists λ* > 0 such that the problem has exactly two positive solutions for 0 < λ < λ*, exactly one positive solution for λ = λ*, and no positive solution for λ > λ*. More precisely, we give a complete description of the structure of the solution set. Our result partially generalizes some results of Wei [12]. Copyright © 2007 Rocky Mountain Mathematics Consortium.