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Existence results for nonlocal and nonsmooth hemivariational inequalities

Journal of Inequalities and Applications volume 2006, Article number: 79532 (2006) Cite this article

Abstract

We consider an elliptic hemivariational inequality with nonlocal nonlinearities. Assuming only certain growth conditions on the data, we are able to prove existence results for the problem under consideration. In particular, no continuity assumptions are imposed on the nonlocal term. The proofs rely on a combined use of recent results due to the authors on hemivariational inequalities and operator equations in partially ordered sets.

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References

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Authors and Affiliations

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

    S. Carl

  2. Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, FIN-90014, Finland

    S. Heikkilä

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  1. S. Carl
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  2. S. Heikkilä
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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., Heikkilä, S. Existence results for nonlocal and nonsmooth hemivariational inequalities. J Inequal Appl 2006, 79532 (2006). https://doi.org/10.1155/JIA/2006/79532

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  • DOI: https://doi.org/10.1155/JIA/2006/79532

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