Electronic Journal of Differential Equations, Vol. 2007(2007), No. 25, pp. 1-7. Title: Positive solutions of a nonlinear problem involving the p-Laplacian with nonhomogeneous boundary conditions Authors: Ahmed Lakmeche (Univ. Djillali Liabes, Algeria) Abdelkader Lakmeche (Univ. Djillali Liabes, Algeria) Mustapha Yebdri (Univ. Aboubakr Belkaid, Algeria) Abstract: In this work we consider a boundary-value problem involving the p-Laplacian with nonhomogeneous boundary conditions. We prove the existence of multiple solutions using the quadrature method. Submitted July 13, 2006. Published February 12, 2007. Math Subject Classifications: 35J65. Key Words: p-Laplacian; positive solutions; positone problem; quadrature method, nonhomogeneous boundary conditions.