Infinitely many solutions for a hemivariational inequality involving the p(x)-Laplacian

This paper deals with a hemivariational inequality involving the p(x)p(x)-Laplacian. By using nonsmooth variational methods and the theory of the variable exponent Sobolev spaces, we establish the existence of infinitely many distinct non-negative solutions of the problem in both cases—one at the origin and the other at infinity under suitable hypotheses.