Infinitely many solutions for a class of $p(x)$-Laplacian equations in $\mathbb{R}^{N}$

Infinitely many solutions for a class of $p(x)$-Laplacian equations in $\mathbb{R}^{N}$

In this paper, we study the existence of infinitely many solutions for a class of $p(x)$-Laplacian equations in $\mathbb{R}^{N}$, where the nonlinearity is sublinear. The main tool used here is a variational method combined with the theory of variable exponent Sobolev spaces. Recent results from the...

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Main Authors: Lian Duan, Lihong Huang
Format: Article
Language:English
Published: University of Szeged 2014-06-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
$p(x)$-laplacian equation; sublinear; variational method; variant fountain theorem.
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2843
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spelling doaj-2823d4fe3d924b4baa6317c16fe3b6c52021-07-14T07:21:26ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752014-06-0120142811310.14232/ejqtde.2014.1.282843Infinitely many solutions for a class of $p(x)$-Laplacian equations in $\mathbb{R}^{N}$Lian Duan0Lihong Huang1College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR ChinaCollege of Mathematics and Econometrics, Hunan University, Changsha, Hunan, P. R. ChinaIn this paper, we study the existence of infinitely many solutions for a class of $p(x)$-Laplacian equations in $\mathbb{R}^{N}$, where the nonlinearity is sublinear. The main tool used here is a variational method combined with the theory of variable exponent Sobolev spaces. Recent results from the literature are extended.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2843$p(x)$-laplacian equation; sublinear; variational method; variant fountain theorem.
collection DOAJ
language English
format Article
sources DOAJ
author Lian Duan
Lihong Huang
spellingShingle Lian Duan
Lihong Huang
Infinitely many solutions for a class of $p(x)$-Laplacian equations in $\mathbb{R}^{N}$
Electronic Journal of Qualitative Theory of Differential Equations
$p(x)$-laplacian equation; sublinear; variational method; variant fountain theorem.
author_facet Lian Duan
Lihong Huang
author_sort Lian Duan
title Infinitely many solutions for a class of $p(x)$-Laplacian equations in $\mathbb{R}^{N}$
title_short Infinitely many solutions for a class of $p(x)$-Laplacian equations in $\mathbb{R}^{N}$
title_full Infinitely many solutions for a class of $p(x)$-Laplacian equations in $\mathbb{R}^{N}$
title_fullStr Infinitely many solutions for a class of $p(x)$-Laplacian equations in $\mathbb{R}^{N}$
title_full_unstemmed Infinitely many solutions for a class of $p(x)$-Laplacian equations in $\mathbb{R}^{N}$
title_sort infinitely many solutions for a class of $p(x)$-laplacian equations in $\mathbb{r}^{n}$
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2014-06-01
description In this paper, we study the existence of infinitely many solutions for a class of $p(x)$-Laplacian equations in $\mathbb{R}^{N}$, where the nonlinearity is sublinear. The main tool used here is a variational method combined with the theory of variable exponent Sobolev spaces. Recent results from the literature are extended.
topic $p(x)$-laplacian equation; sublinear; variational method; variant fountain theorem.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2843
work_keys_str_mv AT lianduan infinitelymanysolutionsforaclassofpxlaplacianequationsinmathbbrn
AT lihonghuang infinitelymanysolutionsforaclassofpxlaplacianequationsinmathbbrn
_version_ 1721303567929704448

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