On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations
The purpose of this paper is to study a class of discrete nonlinear Schrödinger equations. Under a weak superlinearity condition at infinity instead of the classical Ambrosetti-Rabinowitz condition, the existence of standing waves of the equations is obtained by using the Nehari manifold approach.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/436919 |
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doaj-de02ac389d2d47a9b96b12a771e478062020-11-24T23:30:23ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/436919436919On Standing Wave Solutions for Discrete Nonlinear Schrödinger EquationsGuowei Sun0Department of Applied Mathematics, Yuncheng University, Yuncheng, Shanxi 044000, ChinaThe purpose of this paper is to study a class of discrete nonlinear Schrödinger equations. Under a weak superlinearity condition at infinity instead of the classical Ambrosetti-Rabinowitz condition, the existence of standing waves of the equations is obtained by using the Nehari manifold approach.http://dx.doi.org/10.1155/2013/436919 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Guowei Sun |
| spellingShingle |
Guowei Sun On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations Abstract and Applied Analysis |
| author_facet |
Guowei Sun |
| author_sort |
Guowei Sun |
| title |
On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations |
| title_short |
On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations |
| title_full |
On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations |
| title_fullStr |
On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations |
| title_full_unstemmed |
On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations |
| title_sort |
on standing wave solutions for discrete nonlinear schrödinger equations |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2013-01-01 |
| description |
The purpose of this paper is to study a class of discrete nonlinear Schrödinger equations.
Under a weak superlinearity condition at infinity instead of the classical Ambrosetti-Rabinowitz condition, the existence of standing waves of the equations is obtained by using the Nehari manifold approach. |
| url |
http://dx.doi.org/10.1155/2013/436919 |
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AT guoweisun onstandingwavesolutionsfordiscretenonlinearschrodingerequations |
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