Journal of Inequalities and Applications 
Volume 2005 (2005), Issue 1, Pages 33-40
doi:10.1155/JIA.2005.33

Existence and comparison results for variational-hemivariational inequalities

S. Carl

 Fachbereich Mathematik und Informatik, Institut für Analysis, Martin-Luther-Universität Halle-Wittenberg, Halle 06099, Germany
Received 18 June 2004

Abstract

We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalization of the fundamental notion of sub- and supersolutions on the basis of which we then develop the sub-supersolution method for variational-hemivariational inequalities. Furthermore, we give an example to illustrate the abstract theory developed in this paper.