Solutions of a class of Hamiltonian elliptic systems in R-N
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 | 2010-02-15 |
| 卷号 | 362期号:2页码:338-349 |
| 关键词 | Variational methods Ground state solution Superlinear Critical points |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2009.07.052 |
| 英文摘要 | We study the existence of ground state solutions for the following elliptic systems in R-N {-Delta u + b . del(x)u + u = H-v (x, u, v), -Delta v - b . del(x)v + v = H-u (x, u, v), where b = (b(1),...,b(N)) is a constant vector and H is an element of C-1(R-N x R-2, R) is nonperiodic in variables x and super-quadratic as vertical bar z vertical bar -> infinity. By a recent critical point theorem for strongly indefinite problem, we obtain the existence of at least one ground state solution. (C) 2009 Elsevier Inc. All rights reserved. |
| 资助项目 | Natural Science Foundation of Zhejiang Province[Y7080008] ; National Natural Science Foundation of China[NSFC10831005] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000271878300006 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10808]  |
| 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 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Minbo,Chen, Wenxiong,Ding, Yanheng. Solutions of a class of Hamiltonian elliptic systems in R-N[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2010,362(2):338-349. |
| APA | Yang, Minbo,Chen, Wenxiong,&Ding, Yanheng.(2010).Solutions of a class of Hamiltonian elliptic systems in R-N.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,362(2),338-349. |
| MLA | Yang, Minbo,et al."Solutions of a class of Hamiltonian elliptic systems in R-N".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 362.2(2010):338-349. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。