Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions
Abstract Using variational methods, we study the existence and multiplicity of homoclinic solutions for a class of discrete Schrödinger equations in infinite m-dimensional lattices with nonlinearities being superlinear at infinity. Our results generalize some existing results in the literature by us...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-09-01
|
| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1344-6 |
| _version_ | 1819013609471082496 |
|---|---|
| author | Liqian Jia Jun Chen Guanwei Chen |
| author_facet | Liqian Jia Jun Chen Guanwei Chen |
| author_sort | Liqian Jia |
| collection | DOAJ |
| description | Abstract Using variational methods, we study the existence and multiplicity of homoclinic solutions for a class of discrete Schrödinger equations in infinite m-dimensional lattices with nonlinearities being superlinear at infinity. Our results generalize some existing results in the literature by using some weaker conditions. |
| first_indexed | 2024-12-21T02:02:40Z |
| format | Article |
| id | doaj.art-83285b1f903a4a0fa66ebc6a2fc1f30f |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-21T02:02:40Z |
| publishDate | 2017-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-83285b1f903a4a0fa66ebc6a2fc1f30f2022-12-21T19:19:36ZengSpringerOpenAdvances in Difference Equations1687-18472017-09-012017111510.1186/s13662-017-1344-6Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutionsLiqian Jia0Jun Chen1Guanwei Chen2School of Mathematical Sciences, University of JinanSun Yueqi Honors College, China University Of Mining And TechnologySchool of Mathematical Sciences, University of JinanAbstract Using variational methods, we study the existence and multiplicity of homoclinic solutions for a class of discrete Schrödinger equations in infinite m-dimensional lattices with nonlinearities being superlinear at infinity. Our results generalize some existing results in the literature by using some weaker conditions.http://link.springer.com/article/10.1186/s13662-017-1344-6discrete nonlinear Schrödinger equationsvariational methodsSuperlinearhomoclinic solutions |
| spellingShingle | Liqian Jia Jun Chen Guanwei Chen Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions Advances in Difference Equations discrete nonlinear Schrödinger equations variational methods Superlinear homoclinic solutions |
| title | Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions |
| title_full | Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions |
| title_fullStr | Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions |
| title_full_unstemmed | Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions |
| title_short | Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions |
| title_sort | discrete schrodinger equations in the nonperiodic and superlinear cases homoclinic solutions |
| topic | discrete nonlinear Schrödinger equations variational methods Superlinear homoclinic solutions |
| url | http://link.springer.com/article/10.1186/s13662-017-1344-6 |
| work_keys_str_mv | AT liqianjia discreteschrodingerequationsinthenonperiodicandsuperlinearcaseshomoclinicsolutions AT junchen discreteschrodingerequationsinthenonperiodicandsuperlinearcaseshomoclinicsolutions AT guanweichen discreteschrodingerequationsinthenonperiodicandsuperlinearcaseshomoclinicsolutions |