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

Patrick Winkert

 Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg, Halle 06099, Germany
Received 6 August 2007; Accepted 25 November 2007

Recommended by M. Garcia-Huidobro

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.