Twin positive solutions for the one-dimensional p-Laplacian boundary value problems Original Research Article

In this paper we study the existence of multiple positive solutions for the equation (g(u′))′+e(t)f(u)=0, where g(v)≔|v|p−2v,p>1, subject to nonlinear boundary conditions. We show the existence of at least two positive solutions by using a new three functionals fixed point theorem in cones.