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Journal of Inequalities and Applications
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Existence and infinitely many solutions for an abstract class of hemivariational inequalities

Journal of Inequalities and Applications volume 2005, Article number: 147897 (2005) Cite this article

Abstract

A general method is given in order to guarantee at least one nontrivial solution, as well as infinitely many radially symmetric solutions, for an abstract class of hemivariational inequalities. This abstract class contains some special cases studied by many authors. We remark that, differently from the classical literature, in the proofs we use the Cerami compactness condition and the principle of symmetric criticality for locally Lipschitz functions.

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  1. Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 1 Mihail Kogǎlniceanu Street, Cluj-Napoca, 400084, Romania

    Csaba Varga

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  1. Csaba Varga
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Correspondence to Csaba Varga.

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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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Varga, C. Existence and infinitely many solutions for an abstract class of hemivariational inequalities. J Inequal Appl 2005, 147897 (2005). https://doi.org/10.1155/JIA.2005.89

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  • DOI: https://doi.org/10.1155/JIA.2005.89