Existence results for variational-hemivariational problems with lack ofconvexity

TL;DR

This paper proves the existence of solutions for a class of complex variational-hemivariational inequalities in Hilbert spaces, addressing cases with non-convexity and unbounded sets.

Contribution

It establishes Hartmann-Stampacchia type existence results for variational-hemivariational inequalities with non-convexity and unbounded domains.

Findings

Existence results for variational-hemivariational inequalities in Hilbert spaces.

Applicable to non-convex and unbounded sets.

Extends previous results to broader classes of inequalities.

Abstract

We establish existence results of Hartmann-Stampacchia type for a class of variational-hemivariationalinequalities on closed and convex sets (either bounded or unbounded) in a Hilbert space.