Semicoercive Variational-hemivariational Inequalities with Unilateral Growth Conditions

Abstract

A variational-hemivariational inequality on a vector valued functions space is studied with the nonlinear part satisfying the unilateral growth condition. The higher order term is assumed to be pseudo-monotone and semicoercive. The existence result has been obtained by making use of the theory of pseudo-monotone operators combined with the Lipschitz regulariza-tion of the nonlinear part.