Nehari-Type Ground State Positive Solutions for Superlinear Asymptotically Periodic Schrödinger Equations
We deal with the existence of Nehari-type ground state positive solutions for the nonlinear Schrödinger equation -Δu+Vxu=fx, u, x ∈ RN, u ∈ H1 RN. Under a weaker Nehari condition, we establish some existence criteria to guarantee that the above problem has Nehari-type ground state solutions by usin...
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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/10.1155/2014/607078 |
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| author | Xiaoyan Lin X. H. Tang |
| author_facet | Xiaoyan Lin X. H. Tang |
| author_sort | Xiaoyan Lin |
| collection | DOAJ |
| description | We deal with the existence of Nehari-type ground state positive solutions for the nonlinear Schrödinger equation -Δu+Vxu=fx, u, x ∈ RN, u ∈ H1 RN. Under a weaker Nehari condition, we establish some existence criteria to guarantee that the above problem has Nehari-type ground state solutions by using a more direct method in two cases: the periodic case and the asymptotically periodic case. |
| format | Article |
| id | doaj-art-57c538b4e699490ca551150643050c75 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-57c538b4e699490ca551150643050c752025-02-03T01:23:47ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/607078607078Nehari-Type Ground State Positive Solutions for Superlinear Asymptotically Periodic Schrödinger EquationsXiaoyan Lin0X. H. Tang1Department of Mathematics, Huaihua College, Huaihua, Hunan 418008, ChinaSchool of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, ChinaWe deal with the existence of Nehari-type ground state positive solutions for the nonlinear Schrödinger equation -Δu+Vxu=fx, u, x ∈ RN, u ∈ H1 RN. Under a weaker Nehari condition, we establish some existence criteria to guarantee that the above problem has Nehari-type ground state solutions by using a more direct method in two cases: the periodic case and the asymptotically periodic case.http://dx.doi.org/10.1155/2014/607078 |
| spellingShingle | Xiaoyan Lin X. H. Tang Nehari-Type Ground State Positive Solutions for Superlinear Asymptotically Periodic Schrödinger Equations Abstract and Applied Analysis |
| title | Nehari-Type Ground State Positive Solutions for Superlinear Asymptotically Periodic Schrödinger Equations |
| title_full | Nehari-Type Ground State Positive Solutions for Superlinear Asymptotically Periodic Schrödinger Equations |
| title_fullStr | Nehari-Type Ground State Positive Solutions for Superlinear Asymptotically Periodic Schrödinger Equations |
| title_full_unstemmed | Nehari-Type Ground State Positive Solutions for Superlinear Asymptotically Periodic Schrödinger Equations |
| title_short | Nehari-Type Ground State Positive Solutions for Superlinear Asymptotically Periodic Schrödinger Equations |
| title_sort | nehari type ground state positive solutions for superlinear asymptotically periodic schrodinger equations |
| url | http://dx.doi.org/10.1155/2014/607078 |
| work_keys_str_mv | AT xiaoyanlin neharitypegroundstatepositivesolutionsforsuperlinearasymptoticallyperiodicschrodingerequations AT xhtang neharitypegroundstatepositivesolutionsforsuperlinearasymptoticallyperiodicschrodingerequations |