Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 13579, 11 pages
doi:10.1155/2007/13579
Research Article
Discontinuous Variational-Hemivariational Inequalities Involving the p-Laplacian
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.
Abstract
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.