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Journal of Inequalities and Applications
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Existence and comparison results for variational-hemivariational inequalities

Journal of Inequalities and Applications volume 2005, Article number: 402086 (2005) Cite this article

Abstract

We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalization of the fundamental notion of sub- and supersolutions on the basis of which we then develop the sub-supersolution method for variational-hemivariational inequalities. Furthermore, we give an example to illustrate the abstract theory developed in this paper.

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  1. Fachbereich Mathematik und Informatik, Institut für Analysis, Martin-Luther-Universität Halle-Wittenberg, Halle, 06099, Germany

    S Carl

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  1. S Carl
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Correspondence to S Carl.

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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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Carl, S. Existence and comparison results for variational-hemivariational inequalities. J Inequal Appl 2005, 402086 (2005). https://doi.org/10.1155/JIA.2005.33

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  • DOI: https://doi.org/10.1155/JIA.2005.33