Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms
We study a class of resonant cooperative elliptic systems and replace the Ambrosetti-Rabinowitz superlinear condition with general superlinear conditions. We obtain ground state solutions and infinitely many nontrivial solutions of this system by a generalized Nehari manifold method developed recent...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/349304 |
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| _version_ | 1850120787273449472 |
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| author | Guanwei Chen Shiwang Ma |
| author_facet | Guanwei Chen Shiwang Ma |
| author_sort | Guanwei Chen |
| collection | DOAJ |
| description | We study a class of resonant cooperative elliptic systems and replace the Ambrosetti-Rabinowitz superlinear condition with general superlinear conditions. We obtain ground state solutions and infinitely many nontrivial solutions of this system by a generalized Nehari manifold method developed recently by Szulkin and Weth. |
| format | Article |
| id | doaj-art-62f9ff184bc54285b9342ec7bb41aee8 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-62f9ff184bc54285b9342ec7bb41aee82025-08-20T02:35:16ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/349304349304Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear TermsGuanwei Chen0Shiwang Ma1School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan 455000, ChinaSchool of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, ChinaWe study a class of resonant cooperative elliptic systems and replace the Ambrosetti-Rabinowitz superlinear condition with general superlinear conditions. We obtain ground state solutions and infinitely many nontrivial solutions of this system by a generalized Nehari manifold method developed recently by Szulkin and Weth.http://dx.doi.org/10.1155/2014/349304 |
| spellingShingle | Guanwei Chen Shiwang Ma Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms Abstract and Applied Analysis |
| title | Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms |
| title_full | Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms |
| title_fullStr | Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms |
| title_full_unstemmed | Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms |
| title_short | Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms |
| title_sort | infinitely many nontrivial solutions of resonant cooperative elliptic systems with superlinear terms |
| url | http://dx.doi.org/10.1155/2014/349304 |
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