<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper hemivariational inequality with nonhomogeneous Neumann boundary condition is investigated. The existence of infinitely many small solutions involving a class of p(x) - Laplacian equation in a smooth bounded domain is established. Our main tool is based on a version of the symmetric mountain pass lemma due to Kajikiya and the principle of symmetric criticality for a locally Lipschitz functional. </p></abstract>

In this paper hemivariational inequality with nonhomogeneous Neumann boundary condition is investigated. The existence of infinitely many small solutions involving a class of p(x) - Laplacian equation in a smooth bounded domain is established. Our main tool is based on a version of the symmetric mountain pass lemma due to Kajikiya and the principle of symmetric criticality for a locally Lipschitz functional.

Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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In this paper hemivariational inequality with nonhomogeneous Neumann boundary condition is investigated. The existence of infinitely many small solutions...

Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian

Publié en ligne: 21 sept. 2017

Pages: 65 - 83

Reçu: 07 juil. 2016

Accepté: 19 sept. 2016

DOI: https://doi.org/10.1515/auom-2017-0021

Mots clés
p(x)-Laplacian, symmetric mountain pass lemma, hemivariational inequal- ity, generalized Lebesgue-Sobolev spaces

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian

Publié en ligne: 21 sept. 2017

Pages: 65 - 83

Reçu: 07 juil. 2016

Accepté: 19 sept. 2016

DOI: https://doi.org/10.1515/auom-2017-0021

Mots clésp(x)-Laplacian, symmetric mountain pass lemma, hemivariational inequal- ity, generalized Lebesgue-Sobolev spaces

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
p(x)-Laplacian, symmetric mountain pass lemma, hemivariational inequal- ity, generalized Lebesgue-Sobolev spaces