ON A DIFFUSION SYSTEM WITH BOUNDED POTENTIAL
文献类型：期刊论文
| 作者 | Zhao, Fukun1; Ding, Yanheng2
|
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| 出版日期 | 2009-03-01 |
| 卷号 | 23期号:3页码:1073-1086 |
| 关键词 | Diffusion system variational methods strongly indefinite functionals |
| ISSN号 | 1078-0947 |
| DOI | 10.3934/dcds.2009.23.1073 |
| 英文摘要 | This paper is concerned with the following non-periodic diffusion system {partial derivative(t)u - Delta(x)u + b(t, x) . del(x)u + V (x)u = H-v (t, x, u, v) in R x R-N, -partial derivative(t)v - Delta(x)v - b(t, x) . del(x)v + V (x)v = H-u (t, x, u, v) in R x R-N, u(t, x) -> 0 and v(t, x) -> 0 as |t| + |x| -> infinity. Assuming the potential V is bounded and has a positive bound from below, existence and multiplicity of solutions are obtained for the system with asymptotically quadratic nonlinearities via variational approach. |
| 资助项目 | NSFC[10561011] ; NSFC[10671195] ; NSFY of Yunnan Province, China |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000260923500024 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9086]  |
| 专题 | 数学所 |
| 通讯作者 | Zhao, Fukun |
| 作者单位 | 1.Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China 2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, Fukun,Ding, Yanheng. ON A DIFFUSION SYSTEM WITH BOUNDED POTENTIAL[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2009,23(3):1073-1086. |
| APA | Zhao, Fukun,&Ding, Yanheng.(2009).ON A DIFFUSION SYSTEM WITH BOUNDED POTENTIAL.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,23(3),1073-1086. |
| MLA | Zhao, Fukun,et al."ON A DIFFUSION SYSTEM WITH BOUNDED POTENTIAL".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 23.3(2009):1073-1086. |
入库方式： OAI收割
来源：数学与系统科学研究院
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