Positive solutions of four-point boundary value problems for higher-order p-Laplacian operator ✩

In this paper, we study the existence of positive solutions for the nonlinear four-point singular boundary value problem for higher-order with p-Laplacian operator. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear singular boundary value problem with p-Laplacian operator are obtained. © 2006 Elsevier Inc. All rights reserved.