Positive solutions for one-dimensional p-Laplacian boundary value problems with dependence on the first order derivative

Abstract

AbstractThis paper presents sufficient conditions for the existence and multiplicity of positive solutions to the one-dimensional p-Laplacian differential equation (ϕp(u′))′+a(t)f(u,u′)=0, subject to some boundary conditions. We show that it has at least one or two or three positive solutions under some assumptions by applying the fixed point theorem