Infinitely many solutions for elliptic problems in $\mathbb{R}^N$ involving the $p(x)$-Laplacian
We consider the $p(x)$-Laplacian equations in $\mathbb{R}^N$. The potential function does not satisfy the coercive condition. We obtain the existence of infinitely many solutions of the equations, improving a recent result of Duan--Huang [L. Duan, L. H. Huang, Electron. J. Qual. Theory Differ. Equ....
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| Format: | Article |
| Language: | English |
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University of Szeged
2015-12-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4338 |
| _version_ | 1827951251933888512 |
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| author | Qing-Mei Zhou Ke-Qi Wang |
| author_facet | Qing-Mei Zhou Ke-Qi Wang |
| author_sort | Qing-Mei Zhou |
| collection | DOAJ |
| description | We consider the $p(x)$-Laplacian equations in $\mathbb{R}^N$. The potential function does not satisfy the coercive condition. We obtain the existence of infinitely many solutions of the equations, improving a recent result of Duan--Huang [L. Duan, L. H. Huang, Electron. J. Qual. Theory Differ. Equ. 2014, No. 28, 1--13]. |
| first_indexed | 2024-04-09T13:38:52Z |
| format | Article |
| id | doaj.art-e78d6424b7b34ee08ccd626752034b48 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:38:52Z |
| publishDate | 2015-12-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-e78d6424b7b34ee08ccd626752034b482023-05-09T07:53:05ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752015-12-0120159411110.14232/ejqtde.2015.1.944338Infinitely many solutions for elliptic problems in $\mathbb{R}^N$ involving the $p(x)$-LaplacianQing-Mei Zhou0Ke-Qi Wang1Northeast Forestry University, Harbin, P. R. ChinaNortheast Forestry University, Harbin, P.R. ChinaWe consider the $p(x)$-Laplacian equations in $\mathbb{R}^N$. The potential function does not satisfy the coercive condition. We obtain the existence of infinitely many solutions of the equations, improving a recent result of Duan--Huang [L. Duan, L. H. Huang, Electron. J. Qual. Theory Differ. Equ. 2014, No. 28, 1--13].http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4338p(x)-laplacianvariational methodvariant fountain theoremcritical point |
| spellingShingle | Qing-Mei Zhou Ke-Qi Wang Infinitely many solutions for elliptic problems in $\mathbb{R}^N$ involving the $p(x)$-Laplacian Electronic Journal of Qualitative Theory of Differential Equations p(x)-laplacian variational method variant fountain theorem critical point |
| title | Infinitely many solutions for elliptic problems in $\mathbb{R}^N$ involving the $p(x)$-Laplacian |
| title_full | Infinitely many solutions for elliptic problems in $\mathbb{R}^N$ involving the $p(x)$-Laplacian |
| title_fullStr | Infinitely many solutions for elliptic problems in $\mathbb{R}^N$ involving the $p(x)$-Laplacian |
| title_full_unstemmed | Infinitely many solutions for elliptic problems in $\mathbb{R}^N$ involving the $p(x)$-Laplacian |
| title_short | Infinitely many solutions for elliptic problems in $\mathbb{R}^N$ involving the $p(x)$-Laplacian |
| title_sort | infinitely many solutions for elliptic problems in mathbb r n involving the p x laplacian |
| topic | p(x)-laplacian variational method variant fountain theorem critical point |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4338 |
| work_keys_str_mv | AT qingmeizhou infinitelymanysolutionsforellipticproblemsinmathbbrninvolvingthepxlaplacian AT keqiwang infinitelymanysolutionsforellipticproblemsinmathbbrninvolvingthepxlaplacian |