Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian

Abstract

In this paper hemivariational inequality with nonhomogeneous Neumann boundary condition is investigated. The existence of infinitely many small solutions involving a class of p(x) - Laplacian equation in a smooth bounded domain is established. Our main tool is based on a version of the symmetric mountain pass lemma due to Kajikiya and the principle of symmetric criticality for a locally Lipschitz functional.

Keywords

• p(x)-laplacian
• symmetric mountain pass lemma
• hemivariational inequal- ity
• generalized lebesgue-sobolev spaces
• primary 49j40
• 47j30
• secondary 35b30
• 35j60