Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 131, pp. 1-10.

Title: Existence of solutions for  elliptic systems in
       R^N involving the p(x)-Laplacian

Authors: Ali Djellit (Badji-Mokhtar Annaba Univ., Algeria)
         Zahra Youbi (Badji-Mokhtar Annaba Univ., Algeria)
	 Saadia Tas  (Abderrahmane Mira Bejaia Univ., Algeria)

Abstract:
 This article  presents sufficient conditions for the existence of
 non-trivial solutions for a nonlinear elliptic system.
 To establish this result, we use a classical existence
 theorem in reflexive Banach spaces, under some growth
 conditions on the non-linearities.

Submitted May 21, 2012. Published August 15, 2012.
Math Subject Classifications: 35J50, 35J92.
Key Words: p(x)-Laplacian operator; critical point, variational system.