Electron. J. Diff. Eqns., Vol. 2007(2007), No. 25, pp. 1-7.

Positive solutions of a nonlinear problem involving the p-Laplacian with nonhomogeneous boundary conditions

Ahmed Lakmeche, Abdelkader Lakmeche, Mustapha Yebdri

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.

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Ahmed Lakmeche
Département de mathématiques
Faculté des sciences
Université Djillali Liabes
BP. 89, 22000 Sidi Bel Abbes, Algeria
email: lakahmed2000@yahoo.fr
Abdelkader Lakmeche
Département de mathématiques
Faculté des sciences
Université Djillali Liabes
BP. 89, 22000 Sidi Bel Abbes, Algeria
email: lakmeche@yahoo.fr
Mustapha Yebdri
Département de mathématiques
Faculté des sciences Université Aboubakr Belkaid
BP. 119, 13000 Tlemcen, Algeria
email: yebdri@yahoo.com

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