Quasilinear Elliptic Equations with Hardy-Sobolev Critical Exponents: Existence and Multiplicity of Nontrivial Solutions
We study the existence of positive solutions and multiplicity of nontrivial solutions for a class of quasilinear elliptic equations by using variational methods. Our obtained results extend some existing ones.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/482740 |
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| _version_ | 1850238031194226688 |
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| author | Guanwei Chen |
| author_facet | Guanwei Chen |
| author_sort | Guanwei Chen |
| collection | DOAJ |
| description | We study the existence of positive solutions and multiplicity of nontrivial solutions for a class of quasilinear elliptic equations by using variational methods. Our obtained results extend some existing ones. |
| format | Article |
| id | doaj-art-07cf5a05f4ef44f7b42853c3df8f3a8d |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-07cf5a05f4ef44f7b42853c3df8f3a8d2025-08-20T02:01:35ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/482740482740Quasilinear Elliptic Equations with Hardy-Sobolev Critical Exponents: Existence and Multiplicity of Nontrivial SolutionsGuanwei Chen0School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan 455000, ChinaWe study the existence of positive solutions and multiplicity of nontrivial solutions for a class of quasilinear elliptic equations by using variational methods. Our obtained results extend some existing ones.http://dx.doi.org/10.1155/2014/482740 |
| spellingShingle | Guanwei Chen Quasilinear Elliptic Equations with Hardy-Sobolev Critical Exponents: Existence and Multiplicity of Nontrivial Solutions Journal of Applied Mathematics |
| title | Quasilinear Elliptic Equations with Hardy-Sobolev Critical Exponents: Existence and Multiplicity of Nontrivial Solutions |
| title_full | Quasilinear Elliptic Equations with Hardy-Sobolev Critical Exponents: Existence and Multiplicity of Nontrivial Solutions |
| title_fullStr | Quasilinear Elliptic Equations with Hardy-Sobolev Critical Exponents: Existence and Multiplicity of Nontrivial Solutions |
| title_full_unstemmed | Quasilinear Elliptic Equations with Hardy-Sobolev Critical Exponents: Existence and Multiplicity of Nontrivial Solutions |
| title_short | Quasilinear Elliptic Equations with Hardy-Sobolev Critical Exponents: Existence and Multiplicity of Nontrivial Solutions |
| title_sort | quasilinear elliptic equations with hardy sobolev critical exponents existence and multiplicity of nontrivial solutions |
| url | http://dx.doi.org/10.1155/2014/482740 |
| work_keys_str_mv | AT guanweichen quasilinearellipticequationswithhardysobolevcriticalexponentsexistenceandmultiplicityofnontrivialsolutions |