Copyright © 2010 Bilal Cekic and Rabil A. Mashiyev. 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.
In this paper, by means of adequate variational techniques and the theory of the variable
exponent Sobolev spaces, we show the existence of nontrivial solution for a transmission problem given by a system of two nonlinear elliptic equations of -Kirchhoff type with nonstandard growth condition.