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Discontinuous Variational-Hemivariational Inequalities Involving the-Laplacian

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.

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Correspondence to Patrick Winkert.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Winkert, P. Discontinuous Variational-Hemivariational Inequalities Involving the-Laplacian. J Inequal Appl 2007, 013579 (2007). https://doi.org/10.1155/2007/13579

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Keywords

  • Extremal Solution
  • Order Interval
  • Discontinuous Problem
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