Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian
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.
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 times per year
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© 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.