Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian

A class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions. More precisely, Weierstrass theorem and Mountain Pass th...

Descripción completa

Detalles Bibliográficos
Autor principal: Zhou, Qing-Mei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3886597/
https://www.ncbi.nlm.nih.gov/pubmed/24453903
http://dx.doi.org/10.1155/2013/753262
_version_ 1782478903319724032
author Zhou, Qing-Mei
author_facet Zhou, Qing-Mei
author_sort Zhou, Qing-Mei
collection PubMed
description A class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions. More precisely, Weierstrass theorem and Mountain Pass theorem are used to prove the existence of at least two nontrivial solutions.
format Online
Article
Text
id pubmed-3886597
institution National Center for Biotechnology Information
language English
publishDate 2013
publisher Hindawi Publishing Corporation
record_format MEDLINE/PubMed
spelling pubmed-38865972014-01-21 Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian Zhou, Qing-Mei ScientificWorldJournal Research Article A class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions. More precisely, Weierstrass theorem and Mountain Pass theorem are used to prove the existence of at least two nontrivial solutions. Hindawi Publishing Corporation 2013-12-24 /pmc/articles/PMC3886597/ /pubmed/24453903 http://dx.doi.org/10.1155/2013/753262 Text en Copyright © 2013 Qing-Mei Zhou. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Zhou, Qing-Mei
Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian
title Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian
title_full Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian
title_fullStr Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian
title_full_unstemmed Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian
title_short Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian
title_sort multiple solutions for nonhomogeneous neumann differential inclusion problems by the p(x)-laplacian
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3886597/
https://www.ncbi.nlm.nih.gov/pubmed/24453903
http://dx.doi.org/10.1155/2013/753262
work_keys_str_mv AT zhouqingmei multiplesolutionsfornonhomogeneousneumanndifferentialinclusionproblemsbythepxlaplacian

Ejemplares similares