On Schechter's linking theorems
文献类型：期刊论文
| 作者 | Zou, W.1; Li, S.2 |
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2010-05-15 |
| 卷号 | 258期号:10页码:3347-3361 |
| 关键词 | Schechter's linking Sign-changing solution PS-sequence Value-splitting |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/j.jfa.2009.11.005 |
| 英文摘要 | The existence theorems of critical points due to M. Schechter [M. Schechter, The saddle point alternative, Amer. J. Math. 117 (1995) 1603-1626] are developed to the case of sign-changing critical points. A new relationship between the linking without value-splitting property and the sign-changing (weak) Palais-Smale sequence is established. The new abstract theorems are applied to find nodal solutions to elliptic equations under rather weak hypotheses. (C) 2009 Elsevier Inc. All rights reserved. |
| 资助项目 | NSFC ; Ministry of Education in China for NCET |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000275637100006 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9843]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zou, W. |
| 作者单位 | 1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Acad Sinica, Inst Math, AMSS, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zou, W.,Li, S.. On Schechter's linking theorems[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2010,258(10):3347-3361. |
| APA | Zou, W.,&Li, S..(2010).On Schechter's linking theorems.JOURNAL OF FUNCTIONAL ANALYSIS,258(10),3347-3361. |
| MLA | Zou, W.,et al."On Schechter's linking theorems".JOURNAL OF FUNCTIONAL ANALYSIS 258.10(2010):3347-3361. |
入库方式： OAI收割
来源：数学与系统科学研究院
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