An Improved Fountain Theorem and Its Application
文献类型：期刊论文
| 作者 | Gu, Long-Jiang2; Zhou, Huan-Song1 |
| 刊名 | ADVANCED NONLINEAR STUDIES
 |
| 出版日期 | 2017-11-01 |
| 卷号 | 17期号:4页码:727-738 |
| 关键词 | Fountain Theorem Strongly Indefinite Functional Elliptic Equation Sign-changing Potentials Infinitely Many Solutions |
| DOI | 10.1515/ans-2016-6007 |
| 文献子类 | Article |
| 英文摘要 | The main aim of the paper is to prove a fountain theorem without assuming the tau-upper semicontinuity condition on the variational functional. Using this improved fountain theorem, we may deal with more general strongly indefinite elliptic problems with various sign-changing nonlinear terms. As an application, we obtain infinitely many solutions for a semilinear Schrodinger equation with strongly indefinite structure and sign-changing nonlinearity. |
| WOS关键词 | NONLINEAR SCHRODINGER-EQUATIONS ; CONVEX NONLINEARITIES ; MULTIPLE SOLUTIONS ; ELLIPTIC PROBLEMS ; CONCAVE ; SIGN |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000415868100007 |
| 资助机构 | NSFC(11471331 ; NSFC(11471331 ; 11501555) ; 11501555) ; NSFC(11471331 ; NSFC(11471331 ; 11501555) ; 11501555) |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/11555]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Wuhan Univ Technol, Sch Sci, Dept Math, Wuhan 430070, Hubei, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gu, Long-Jiang,Zhou, Huan-Song. An Improved Fountain Theorem and Its Application[J]. ADVANCED NONLINEAR STUDIES,2017,17(4):727-738. |
| APA | Gu, Long-Jiang,&Zhou, Huan-Song.(2017).An Improved Fountain Theorem and Its Application.ADVANCED NONLINEAR STUDIES,17(4),727-738. |
| MLA | Gu, Long-Jiang,et al."An Improved Fountain Theorem and Its Application".ADVANCED NONLINEAR STUDIES 17.4(2017):727-738. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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