Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 612938, 16 pages
doi:10.1155/2008/612938
Research Article
Existence of Solutions for a Class of Elliptic Systems in ℝN Involving the (p(x),q(x))-Laplacian
Department of Mathematics, Dicle University, 21280 Diyarbakir, Turkey
Received 4 April 2008; Accepted 17 July 2008
Academic Editor: M. Garcia Huidobro
Copyright © 2008 S. Ogras 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.
Abstract
In view of variational approach, we discuss a nonlinear elliptic system involving the p(x)-Laplacian. Establishing the suitable
conditions on the nonlinearity, we proved the existence of nontrivial solutions.