INFINITELY MANY SOLUTIONS FOR ASYMPTOTICALLY LINEAR PERIODIC HAMILTONIAN ELLIPTIC SYSTEMS
文献类型：期刊论文
| 作者 | Zhao, Fukun1,2; Zhao, Leiga3; Ding, Yanheng2 |
| 刊名 | ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
 |
| 出版日期 | 2010 |
| 卷号 | 16期号:1页码:77-91 |
| 关键词 | Hamiltonian elliptic system variational methods strongly indefinite functionals |
| ISSN号 | 1292-8119 |
| DOI | 10.1051/cocv:2008064 |
| 英文摘要 | This paper is concerned with the following periodic Hamiltonian elliptic system {-Delta phi + V(x)phi = G(psi)(x, phi, psi) in R-N, -Delta phi + V(x)phi = G(phi)(x, phi, psi) in R-N, phi(x) -> 0 and psi(x) -> 0 as vertical bar x vertical bar -> infinity. Assuming the potential V is periodic and 0 lies in a gap of sigma(-Delta + V), G(x, eta) is periodic in x and asymptotically quadratic in eta = (phi, psi), existence and multiplicity of solutions are obtained via variational approach. |
| 资助项目 | NSFC[10561011] ; NSFY of Yunnan Province ; Foundation of Education Commission of Yunnan Province, P. R. China |
| WOS研究方向 | Automation & Control Systems ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000274916000005 |
| 出版者 | EDP SCIENCES S A |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9413]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 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, AMSS, Inst Math, Beijing 100080, Peoples R China 3.Beijing Univ Chem Technol, Dept Math, Beijing 100029, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, Fukun,Zhao, Leiga,Ding, Yanheng. INFINITELY MANY SOLUTIONS FOR ASYMPTOTICALLY LINEAR PERIODIC HAMILTONIAN ELLIPTIC SYSTEMS[J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,2010,16(1):77-91. |
| APA | Zhao, Fukun,Zhao, Leiga,&Ding, Yanheng.(2010).INFINITELY MANY SOLUTIONS FOR ASYMPTOTICALLY LINEAR PERIODIC HAMILTONIAN ELLIPTIC SYSTEMS.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,16(1),77-91. |
| MLA | Zhao, Fukun,et al."INFINITELY MANY SOLUTIONS FOR ASYMPTOTICALLY LINEAR PERIODIC HAMILTONIAN ELLIPTIC SYSTEMS".ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 16.1(2010):77-91. |
入库方式： OAI收割
来源：数学与系统科学研究院
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