Table of Contents
Conference Papers in Mathematics
Volume 2013, Article ID 231898, 7 pages
Conference Paper

Existence and Multiplicity of Solutions for a Robin Problem Involving the -Laplace Operator

Department of Mathematics, University Mohamed I, P.O. Box 717, Oujda 60000, Morocco

Received 6 June 2013; Accepted 10 July 2013

Academic Editors: G. S. F. Frederico, N. Martins, D. F. M. Torres, and A. J. Zaslavski

This Conference Paper is based on a presentation given by Najib Tsouli at “The Cape Verde International Days on Mathematics 2013” held from 22 April 2013 to 25 April 2013 in Praia, Cape Verde.

Copyright © 2013 Najib Tsouli et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We study the following nonlinear Robin boundary-value problem in , on where is a bounded domain with smooth boundary , is the outer unit normal derivative on , is a real number, is a continuous function on with , with , and is a continuous function. Using the variational method, under appropriate assumptions on , we obtain results on existence and multiplicity of solutions.