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

Abstract

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