Solutions for periodic Schrodinger equation with spectrum zero and general superlinear nonlinearities
文献类型：期刊论文
| 作者 | Yang, Minbo1,2; Chen, Wenxiong2; Ding, Yanheng2 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2010-04-15 |
| 卷号 | 364期号:2页码:404-413 |
| 关键词 | Schrodinger equation Ambrosetti-Rabinowitz condition Concentration-compactness principle |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2009.10.022 |
| 英文摘要 | In this paper we consider the following Schrodinger equation: {-Delta u + V(x)u = g(x, u) for x is an element of R-N, u(x) -> 0 as vertical bar x vertical bar -> infinity, where V(x) and g(x, u) are periodic with respect to x and 0 is a boundary point of the spectrum sigma(-Delta + V). Replacing the classical Ambrosetti-Rabinowitz superlinear assumption on g(x, u) by a general super-quadratic condition, we are able to obtain the existence of nontrivial solutions. (C) 2009 Elsevier Inc. All rights reserved. |
| 资助项目 | Natural Science Foundation of Zhejiang Province[Y7080008] ; Natural Science Foundation of Zhejiang Province[R6090109] ; NSFC[10971194] ; NSFC[NSFC10831005] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000273958300008 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10259]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yang, Minbo |
| 作者单位 | 1.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Minbo,Chen, Wenxiong,Ding, Yanheng. Solutions for periodic Schrodinger equation with spectrum zero and general superlinear nonlinearities[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2010,364(2):404-413. |
| APA | Yang, Minbo,Chen, Wenxiong,&Ding, Yanheng.(2010).Solutions for periodic Schrodinger equation with spectrum zero and general superlinear nonlinearities.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,364(2),404-413. |
| MLA | Yang, Minbo,et al."Solutions for periodic Schrodinger equation with spectrum zero and general superlinear nonlinearities".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 364.2(2010):404-413. |
入库方式： OAI收割
来源：数学与系统科学研究院
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