Open Access

Discontinuous Variational-Hemivariational Inequalities Involving the -Laplacian

Journal of Inequalities and Applications20072007:013579

DOI: 10.1155/2007/13579

Received: 6 August 2007

Accepted: 25 November 2007

Published: 31 December 2007


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.


Authors’ Affiliations

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


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© Patrick Winkert 2007

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