Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 32, pp. 1-15.

Title: Existence and multiplicity of solutions for anisotropic 
       elliptic systems with non-standard growth conditions

Authors: Ghasem A. Afrouzi (Univ. of Mazandaran, Babolsar, Iran)
         Nguyen Thanh Chung (Quang Binh Univ., Vietnam)
	 Somayeh Mahdavi  (Univ. of Mazandaran, Babolsar, Iran)

Abstract:
 In this article, we  study the existence and multiplicity of solutions for a
 class of anisotropic elliptic systems with non-standard growth conditions.
 Our results extend the results in El Hamidi [9] to the 
 anisotropic case.

Submitted January 5, 2012. Published February 23, 2012.
Math Subject Classifications: 35D05, 35J60, 35J70, 58E05, 68T40, 76A02.
Key Words: Anisotropic elliptic system; non-standard growth condition;
           variational method; existence; multiplicity.