Existence and multiplicity of solutions for p(x)-Laplacian equations in R^N

This article concerns the existence and multiplicity of solutions to a class of p(x)-Laplacian equations. We introduce a revised Ambrosetti-Rabinowitz condition, and show that the problem has a nontrivial solution and infinitely many solutions.

Bibliographic Details
Main Authors:	Bin Ge, Qingmei Zhou
Format:	Article
Language:	English
Published:	Texas State University 2014-06-01
Series:	Electronic Journal of Differential Equations
Subjects:	p(x)-Laplacian variational method radial solution Ambrosetti-Rabinowitz condition
Online Access:	http://ejde.math.txstate.edu/Volumes/2014/133/abstr.html

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spelling	doaj-8a4d1d844dd749fbb52372f59e8a37c22020-11-25T01:21:22ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-06-012014133,18Existence and multiplicity of solutions for p(x)-Laplacian equations in R^NBin Ge0Qingmei Zhou1 Harbin Engineering Univ., Harbin, China Harbin Engineering Univ., Harbin, China This article concerns the existence and multiplicity of solutions to a class of p(x)-Laplacian equations. We introduce a revised Ambrosetti-Rabinowitz condition, and show that the problem has a nontrivial solution and infinitely many solutions.http://ejde.math.txstate.edu/Volumes/2014/133/abstr.htmlp(x)-Laplacianvariational methodradial solutionAmbrosetti-Rabinowitz condition
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Bin Ge Qingmei Zhou
spellingShingle	Bin Ge Qingmei Zhou Existence and multiplicity of solutions for p(x)-Laplacian equations in R^N Electronic Journal of Differential Equations p(x)-Laplacian variational method radial solution Ambrosetti-Rabinowitz condition
author_facet	Bin Ge Qingmei Zhou
author_sort	Bin Ge
title	Existence and multiplicity of solutions for p(x)-Laplacian equations in R^N
title_short	Existence and multiplicity of solutions for p(x)-Laplacian equations in R^N
title_full	Existence and multiplicity of solutions for p(x)-Laplacian equations in R^N
title_fullStr	Existence and multiplicity of solutions for p(x)-Laplacian equations in R^N
title_full_unstemmed	Existence and multiplicity of solutions for p(x)-Laplacian equations in R^N
title_sort	existence and multiplicity of solutions for p(x)-laplacian equations in r^n
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2014-06-01
description	This article concerns the existence and multiplicity of solutions to a class of p(x)-Laplacian equations. We introduce a revised Ambrosetti-Rabinowitz condition, and show that the problem has a nontrivial solution and infinitely many solutions.
topic	p(x)-Laplacian variational method radial solution Ambrosetti-Rabinowitz condition
url	http://ejde.math.txstate.edu/Volumes/2014/133/abstr.html
work_keys_str_mv	AT binge existenceandmultiplicityofsolutionsforpxlaplacianequationsinrn AT qingmeizhou existenceandmultiplicityofsolutionsforpxlaplacianequationsinrn
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Existence and multiplicity of solutions for p(x)-Laplacian equations in R^N

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