Existence of three solutions for a class of quasilinear elliptic systems involving the p(x)-Laplace operator

The aim of this paper is to obtain three weak solutions for the Dirichlet quasilinear elliptic systems on a bonded domain. Our technical approach is based on the general three critical points theorem obtained by Ricceri.

Keywords:

Variable exponent Sobolev space , p(x)-Laplacian , Three solutions , Dirichlet problem