Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 137, pp. 1-13.

Title: Existence of solutions for nonlocal elliptic systems with
       nonstandard growth conditions

Author: Guowei Dai (Northwest Normal Univ., Lanzhou, China)

Abstract:
 This article concerns the existence and multiplicity of solutions
 for a p(x)-Kirchhoff-type systems with Dirichlet boundary condition.
 By a direct variational approach and the theory of the variable
 exponent Sobolev spaces, under growth conditions on the reaction terms,
 we establish the existence and multiplicity of solutions.

Submitted July 9, 2011. Published October 19, 2011.
Math Subject Classifications: 35D05, 35J60, 35J70.
Key Words: Variational method;  nonlinear elliptic systems; 
           nonlocal condition.