Open Access

Existence and comparison results for variational-hemivariational inequalities

Journal of Inequalities and Applications20052005:402086

https://doi.org/10.1155/JIA.2005.33

Received: 18 June 2004

Published: 1 February 2005

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.

Authors’ Affiliations

(1)
Fachbereich Mathematik und Informatik, Institut für Analysis, Martin-Luther-Universität Halle-Wittenberg

Copyright

© Carl 2005