Notice of RetractionThe existence of infinitely many positive solutions for three-point boundary value problem with p-Laplacian

Abstract

In this paper, we consider three-point boundary value problem (φ_p(u'))' + a(t)f(u) = 0, 0 <; t <; 1 where φ_p(u) = |u|^p-2u, p > 1, subject to nonlinear boundary conditions. We show that there exist positive solution and countably many positive solutions by fixed point theorems in a cone.