Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 184348, 29 pages
Research Article

General Comparison Principle for Variational-Hemivariational Inequalities

Department of Mathematics, Martin-Luther-University Halle-Wittenberg, 06099 Halle, Germany

Received 13 March 2009; Accepted 18 June 2009

Academic Editor: Vy Khoi Le

Copyright © 2009 Siegfried Carl and Patrick Winkert. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We study quasilinear elliptic variational-hemivariational inequalities involving general Leray-Lions operators. The novelty of this paper is to provide existence and comparison results whereby only a local growth condition on Clarke's generalized gradient is required. Based on these results, in the second part the theory is extended to discontinuous variational-hemivariational inequalities.