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

Fariba Fattahi; Mohsen Alimohammady

doi:10.1515/auom-2017-0021

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 25 (2017): Issue 2 (July 2017)

By: Fariba Fattahi and Mohsen Alimohammady

Open Access

|Sep 2017

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.

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2017-0021 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 65 - 83

Submitted on: Jul 7, 2016

Accepted on: Sep 19, 2016

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

p(x)-Laplacian,

symmetric mountain pass lemma,

hemivariational inequal- ity,

generalized Lebesgue-Sobolev spaces

Related subjects:

Mathematics,

General mathematics

© 2017 Fariba Fattahi, Mohsen Alimohammady, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 25 (2017): Issue 2 (July 2017)