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  • Research Article
  • Open Access

Discontinuous Variational-Hemivariational Inequalities Involving the -Laplacian

Journal of Inequalities and Applications20072007:013579

https://doi.org/10.1155/2007/13579

  • Received: 6 August 2007
  • Accepted: 25 November 2007
  • Published:

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.

Keywords

  • Extremal Solution
  • Order Interval
  • Discontinuous Problem

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Authors’ Affiliations

(1)
Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg, Halle, 06099, Germany

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