Existence of solutions for elliptic systems in R^N involving the p(x)-Laplacian

Abstract

This article presents sufficient conditions for the existence of non-trivial solutions for a nonlinear elliptic system. To establish this result, we use a classical existence theorem in reflexive Banach spaces, under some growth conditions on the non-linearities.

Keywords

• p(x)-Laplacian operator
• critical point, variational system