Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 13579, 11 pages
Research Article

Discontinuous Variational-Hemivariational Inequalities Involving the p-Laplacian

Patrick Winkert

Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg, Halle 06099, Germany

Received 6 August 2007; Accepted 25 November 2007

Academic Editor: M. Garcia-Huidobro

Copyright © 2007 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 deal with discontinuous quasilinear elliptic variational-hemivariational inequalities. By using the method of sub- and supersolutions and based on the results of S. Carl, we extend the theory for discontinuous problems. The proof of the existence of extremal solutions within a given order interval of sub- and supersolutions is the main goal of this paper. In the last part, we give an example of the construction of sub- and supersolutions.