Existence of Nontrivial Solutions and High Energy Solutions for a Class of Quasilinear Schrödinger Equations via the Dual-Perturbation Method
We study the quasilinear Schrödinger equation of the form , . Under appropriate assumptions on and , existence results of nontrivial solutions and high energy solutions are obtained by the dual-perturbation method.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/256324 |
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| _version_ | 1850169525150941184 |
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| author | Yu Chen Xian Wu |
| author_facet | Yu Chen Xian Wu |
| author_sort | Yu Chen |
| collection | DOAJ |
| description | We study the quasilinear Schrödinger equation of the form , . Under appropriate assumptions on and , existence results of nontrivial solutions and high energy solutions are obtained by the dual-perturbation method. |
| format | Article |
| id | doaj-art-9ffe4c0695804029b0de033bf99c1f7a |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9ffe4c0695804029b0de033bf99c1f7a2025-08-20T02:20:42ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/256324256324Existence of Nontrivial Solutions and High Energy Solutions for a Class of Quasilinear Schrödinger Equations via the Dual-Perturbation MethodYu Chen0Xian Wu1Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaDepartment of Mathematics, Yunnan Normal University, Kunming, Yunnan 650092, ChinaWe study the quasilinear Schrödinger equation of the form , . Under appropriate assumptions on and , existence results of nontrivial solutions and high energy solutions are obtained by the dual-perturbation method.http://dx.doi.org/10.1155/2013/256324 |
| spellingShingle | Yu Chen Xian Wu Existence of Nontrivial Solutions and High Energy Solutions for a Class of Quasilinear Schrödinger Equations via the Dual-Perturbation Method Abstract and Applied Analysis |
| title | Existence of Nontrivial Solutions and High Energy Solutions for a Class of Quasilinear Schrödinger Equations via the Dual-Perturbation Method |
| title_full | Existence of Nontrivial Solutions and High Energy Solutions for a Class of Quasilinear Schrödinger Equations via the Dual-Perturbation Method |
| title_fullStr | Existence of Nontrivial Solutions and High Energy Solutions for a Class of Quasilinear Schrödinger Equations via the Dual-Perturbation Method |
| title_full_unstemmed | Existence of Nontrivial Solutions and High Energy Solutions for a Class of Quasilinear Schrödinger Equations via the Dual-Perturbation Method |
| title_short | Existence of Nontrivial Solutions and High Energy Solutions for a Class of Quasilinear Schrödinger Equations via the Dual-Perturbation Method |
| title_sort | existence of nontrivial solutions and high energy solutions for a class of quasilinear schrodinger equations via the dual perturbation method |
| url | http://dx.doi.org/10.1155/2013/256324 |
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