Nonlinear Hemivariational Inequalities and Applications toNonsmooth Mechanics

摘要

The goal of this paper is to establish several existence results for a class of nonstan-dard hemivariational inequalities. Our analysis includes both the cases of boundedand unbounded closed and convex subsets in real reflexive Banach spaces. The proofsstrongly rely on the KKM Principle combined with the Mosco Alternative. In the lastsection of the paper several applications illustrate the abstract results that were provedthroughout the paper.