On Hamiltonian elliptic systems with periodic or non-periodic potentials | |
Zhao, Fukun1; Ding, Yanheng2![]() | |
2010-12-15 | |
发表期刊 | JOURNAL OF DIFFERENTIAL EQUATIONS
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ISSN | 0022-0396 |
卷号 | 249期号:12页码:2964-2985 |
摘要 | This paper is concerned with the following Hamiltonian elliptic system {-Delta u + b(x) . del u + V(x)u = H-v(x, u, v), -Delta v - b(x) . del v + V(x)v = H-u(x, u, v) for x is an element of R-N. Existence and multiplicity of solutions are obtained for the systems with periodic or non-periodic potentials V via variational methods. (C) 2010 Elsevier Inc. All rights reserved. |
关键词 | Hamiltonian elliptic system Variational method Strongly indefinite functional Reduction |
DOI | 10.1016/j.jde.2010.09.014 |
语种 | 英语 |
资助项目 | NSFC[11061040] ; NSFY of Yunnan Province, China ; NSFC, China[10831005] ; NSFC, China[10421001] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000284673000002 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/9265 |
专题 | 数学所 |
通讯作者 | Zhao, Fukun |
作者单位 | 1.Yunnan Normal Univ, Dept Math, Kunming Yunnan 650092, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Zhao, Fukun,Ding, Yanheng. On Hamiltonian elliptic systems with periodic or non-periodic potentials[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2010,249(12):2964-2985. |
APA | Zhao, Fukun,&Ding, Yanheng.(2010).On Hamiltonian elliptic systems with periodic or non-periodic potentials.JOURNAL OF DIFFERENTIAL EQUATIONS,249(12),2964-2985. |
MLA | Zhao, Fukun,et al."On Hamiltonian elliptic systems with periodic or non-periodic potentials".JOURNAL OF DIFFERENTIAL EQUATIONS 249.12(2010):2964-2985. |
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