Double positive solutions of a three-point boundary value problem for the one-dimensional p-Laplacian Original Research Article

We study the existence of positive solutions for the equation (φp(u′))′ + e(t) ƒ (u) = 0, where, φp(υ) ≔ |υ|p−2υ, p > 1, subject to nonlinear three-point boundary conditions. We show the existence of at least two positive solutions by using a three-functionals fixed-point theorem in a cone.