Solutions of nonlinear problems involving p(x)-Laplacian operator

In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian. The problem is settled in the variable exponent Sobolev space W01,p(x)(Ω), and the main tools are the Mountain-Pass theorem and Fountain theorem...

Full description

Bibliographic Details
Main Author:	Yücedağ Zehra
Format:	Article
Language:	English
Published:	De Gruyter 2015-11-01
Series:	Advances in Nonlinear Analysis
Subjects:	p(x)-laplacian nonlocal problem variational methods mountain pass theorem fountain theorem 35b30 35d05 35j60 35j70
Online Access:	https://doi.org/10.1515/anona-2015-0044

id	doaj-74df8196215145ffacbdcf7ca096b087
record_format	Article
spelling	doaj-74df8196215145ffacbdcf7ca096b0872021-09-06T19:39:54ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2015-11-014428529310.1515/anona-2015-0044Solutions of nonlinear problems involving p(x)-Laplacian operatorYücedağ Zehra0Department of Mathematics, Dicle University, TurkeyIn the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian. The problem is settled in the variable exponent Sobolev space W01,p(x)(Ω), and the main tools are the Mountain-Pass theorem and Fountain theorem.https://doi.org/10.1515/anona-2015-0044p(x)-laplaciannonlocal problemvariational methodsmountain pass theoremfountain theorem35b3035d0535j6035j70
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yücedağ Zehra
spellingShingle	Yücedağ Zehra Solutions of nonlinear problems involving p(x)-Laplacian operator Advances in Nonlinear Analysis p(x)-laplacian nonlocal problem variational methods mountain pass theorem fountain theorem 35b30 35d05 35j60 35j70
author_facet	Yücedağ Zehra
author_sort	Yücedağ Zehra
title	Solutions of nonlinear problems involving p(x)-Laplacian operator
title_short	Solutions of nonlinear problems involving p(x)-Laplacian operator
title_full	Solutions of nonlinear problems involving p(x)-Laplacian operator
title_fullStr	Solutions of nonlinear problems involving p(x)-Laplacian operator
title_full_unstemmed	Solutions of nonlinear problems involving p(x)-Laplacian operator
title_sort	solutions of nonlinear problems involving p(x)-laplacian operator
publisher	De Gruyter
series	Advances in Nonlinear Analysis
issn	2191-9496 2191-950X
publishDate	2015-11-01
description	In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian. The problem is settled in the variable exponent Sobolev space W01,p(x)(Ω), and the main tools are the Mountain-Pass theorem and Fountain theorem.
topic	p(x)-laplacian nonlocal problem variational methods mountain pass theorem fountain theorem 35b30 35d05 35j60 35j70
url	https://doi.org/10.1515/anona-2015-0044
work_keys_str_mv	AT yucedagzehra solutionsofnonlinearproblemsinvolvingpxlaplacianoperator
_version_	1717769794442231808

Solutions of nonlinear problems involving p(x)-Laplacian operator

Similar Items