Multiple positive solutions for the one-dimensional singular p-Laplacian

摘要

We consider the following boundary value problem: (ϕp(y′))′+q(t)f(y)=0,p>1,t∈[0,1], with y(0)=y(1)=0, or y(0)=y′(1)=0. Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple (at least three) positive solutions to the above boundary value problem. An example is also included to illustrate the importance of the result obtained.