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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

S. Ogras, R. A. Mashiyev, M. Avci, and Z. Yucedag

Department of Mathematics, Dicle University, 21280 Diyarbakir, Turkey

Received 4 April 2008; Accepted 17 July 2008

Recommended by M. Garcia Huidobro

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.