Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian
In this paper, we prove the existence of at least two nontrivial solutions for a nonlinear elliptic problem involving p(x)-Laplacian-like operator and nonsmooth potentials. Our approach is variational and it is based on the nonsmooth critical point theory for locally Lipschitz functions.
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| Format: | Article |
| Language: | English |
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University of Szeged
2013-11-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2542 |
| _version_ | 1797830664681160704 |
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| author | Qing-Mei Zhou |
| author_facet | Qing-Mei Zhou |
| author_sort | Qing-Mei Zhou |
| collection | DOAJ |
| description | In this paper, we prove the existence of at least two nontrivial solutions for a nonlinear elliptic problem involving p(x)-Laplacian-like operator and nonsmooth potentials. Our approach is variational and it is based on the nonsmooth critical point theory for locally Lipschitz functions. |
| first_indexed | 2024-04-09T13:39:42Z |
| format | Article |
| id | doaj.art-a10aea73988a487f9e5d18721cbc54ee |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:42Z |
| publishDate | 2013-11-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-a10aea73988a487f9e5d18721cbc54ee2023-05-09T07:53:03ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752013-11-0120136311210.14232/ejqtde.2013.1.632542Multiple solutions to a class of inclusion problems with operator involving p(x)-LaplacianQing-Mei Zhou0Northeast Forestry University, Harbin, P. R. ChinaIn this paper, we prove the existence of at least two nontrivial solutions for a nonlinear elliptic problem involving p(x)-Laplacian-like operator and nonsmooth potentials. Our approach is variational and it is based on the nonsmooth critical point theory for locally Lipschitz functions.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2542p(x)-laplacian-likedifferential inclusionnonlinear eigenvalue problemmultiple solutions |
| spellingShingle | Qing-Mei Zhou Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian Electronic Journal of Qualitative Theory of Differential Equations p(x)-laplacian-like differential inclusion nonlinear eigenvalue problem multiple solutions |
| title | Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian |
| title_full | Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian |
| title_fullStr | Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian |
| title_full_unstemmed | Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian |
| title_short | Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian |
| title_sort | multiple solutions to a class of inclusion problems with operator involving p x laplacian |
| topic | p(x)-laplacian-like differential inclusion nonlinear eigenvalue problem multiple solutions |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2542 |
| work_keys_str_mv | AT qingmeizhou multiplesolutionstoaclassofinclusionproblemswithoperatorinvolvingpxlaplacian |