Nontrivial Solutions for Periodic Schrödinger Equations with Sign-Changing Nonlinearities
We prove a new infinite-dimensional linking theorem. Using this theorem, we obtain nontrivial solutions for strongly indefinite periodic Schrödinger equations with sign-changing nonlinearities.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/757153 |
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| _version_ | 1850166794565713920 |
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| author | Shaowei Chen Lishan Lin Liqin Xiao |
| author_facet | Shaowei Chen Lishan Lin Liqin Xiao |
| author_sort | Shaowei Chen |
| collection | DOAJ |
| description | We prove a new infinite-dimensional linking theorem. Using this theorem, we obtain nontrivial solutions for strongly indefinite periodic Schrödinger equations with sign-changing nonlinearities. |
| format | Article |
| id | doaj-art-e5af1e4fe85f4aef801b64a039734669 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e5af1e4fe85f4aef801b64a0397346692025-08-20T02:21:20ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/757153757153Nontrivial Solutions for Periodic Schrödinger Equations with Sign-Changing NonlinearitiesShaowei Chen0Lishan Lin1Liqin Xiao2School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, ChinaSchool of Applied Mathematical Sciences, Xiamen University of Technology, Xiamen 361024, ChinaSchool of Mathematical Sciences, Huaqiao University, Quanzhou 362021, ChinaWe prove a new infinite-dimensional linking theorem. Using this theorem, we obtain nontrivial solutions for strongly indefinite periodic Schrödinger equations with sign-changing nonlinearities.http://dx.doi.org/10.1155/2015/757153 |
| spellingShingle | Shaowei Chen Lishan Lin Liqin Xiao Nontrivial Solutions for Periodic Schrödinger Equations with Sign-Changing Nonlinearities Journal of Function Spaces |
| title | Nontrivial Solutions for Periodic Schrödinger Equations with Sign-Changing Nonlinearities |
| title_full | Nontrivial Solutions for Periodic Schrödinger Equations with Sign-Changing Nonlinearities |
| title_fullStr | Nontrivial Solutions for Periodic Schrödinger Equations with Sign-Changing Nonlinearities |
| title_full_unstemmed | Nontrivial Solutions for Periodic Schrödinger Equations with Sign-Changing Nonlinearities |
| title_short | Nontrivial Solutions for Periodic Schrödinger Equations with Sign-Changing Nonlinearities |
| title_sort | nontrivial solutions for periodic schrodinger equations with sign changing nonlinearities |
| url | http://dx.doi.org/10.1155/2015/757153 |
| work_keys_str_mv | AT shaoweichen nontrivialsolutionsforperiodicschrodingerequationswithsignchangingnonlinearities AT lishanlin nontrivialsolutionsforperiodicschrodingerequationswithsignchangingnonlinearities AT liqinxiao nontrivialsolutionsforperiodicschrodingerequationswithsignchangingnonlinearities |