An existence result for hemivariational inequalities

Abstract

We present a general method for obtaining solutions for an abstract class of hemivariational inequalities. This result extends many results to the nonsmooth case. Our proof is based on a nonsmooth version of the Mountain Pass Theorem with Palais-Smale or with Cerami compactness condition. We also use the Principle of Symmetric Criticality for locally Lipschitz functions.

Keywords

• Variational methods
• discontinuous nonlinearities
• principle of symmetric criticality.