EXISTENCE OF GROUND STATE SOLUTIONS TO HAMILTONIAN ELLIPTIC SYSTEM WITH POTENTIALS
文献类型：期刊论文
| 作者 | Li, Quanqing1; Wang, Wenbo2,3 |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2018-11-01 |
| 卷号 | 38期号:6页码:1966-1980 |
| 关键词 | Hamiltonian elliptic system strongly indefinite functional generalized Nehari manifold |
| ISSN号 | 0252-9602 |
| 英文摘要 | In this paper, we investigate nonlinear Hamiltonian elliptic system {-Delta u + (b) over right arrow (x).del u + (V(x) + tau)u = K(x)g(v) in R-N, -Delta v - (b) over right arrow (x).del v + (V(x)+tau)v = K (x) f (u) in R-N, u(x) -> 0 and v(x) -> 0 as vertical bar x vertical bar -> infinity, where N >= 3, tau > 0 is a positive parameter and V, K are nonnegative continuous functions, f and g are both superlinear at 0 with a quasicritical growth at infinity. By establishing a variational setting, the existence of ground state solutions is obtained. |
| WOS关键词 | NONLINEAR SCHRODINGER-EQUATIONS |
| 资助项目 | Honghe University Doctoral Research Program[XJ17B11] ; Yunnan Province Applied Basic Research for Youths ; Yunnan Province Local University (Part) Basic Research Joint Project[2017FH001-013] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000451792700023 |
| 出版者 | ELSEVIER SCIENCE INC |
| 资助机构 | Honghe University Doctoral Research Program ; Honghe University Doctoral Research Program ; Yunnan Province Applied Basic Research for Youths ; Yunnan Province Applied Basic Research for Youths ; Yunnan Province Local University (Part) Basic Research Joint Project ; Yunnan Province Local University (Part) Basic Research Joint Project ; Honghe University Doctoral Research Program ; Honghe University Doctoral Research Program ; Yunnan Province Applied Basic Research for Youths ; Yunnan Province Applied Basic Research for Youths ; Yunnan Province Local University (Part) Basic Research Joint Project ; Yunnan Province Local University (Part) Basic Research Joint Project ; Honghe University Doctoral Research Program ; Honghe University Doctoral Research Program ; Yunnan Province Applied Basic Research for Youths ; Yunnan Province Applied Basic Research for Youths ; Yunnan Province Local University (Part) Basic Research Joint Project ; Yunnan Province Local University (Part) Basic Research Joint Project ; Honghe University Doctoral Research Program ; Honghe University Doctoral Research Program ; Yunnan Province Applied Basic Research for Youths ; Yunnan Province Applied Basic Research for Youths ; Yunnan Province Local University (Part) Basic Research Joint Project ; Yunnan Province Local University (Part) Basic Research Joint Project |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/13551]  |
| 专题 | 中国科学院武汉物理与数学研究所 |
| 通讯作者 | Wang, Wenbo |
| 作者单位 | 1.Honghe Univ, Dept Math, Mengzi 661100, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Quanqing,Wang, Wenbo. EXISTENCE OF GROUND STATE SOLUTIONS TO HAMILTONIAN ELLIPTIC SYSTEM WITH POTENTIALS[J]. ACTA MATHEMATICA SCIENTIA,2018,38(6):1966-1980. |
| APA | Li, Quanqing,&Wang, Wenbo.(2018).EXISTENCE OF GROUND STATE SOLUTIONS TO HAMILTONIAN ELLIPTIC SYSTEM WITH POTENTIALS.ACTA MATHEMATICA SCIENTIA,38(6),1966-1980. |
| MLA | Li, Quanqing,et al."EXISTENCE OF GROUND STATE SOLUTIONS TO HAMILTONIAN ELLIPTIC SYSTEM WITH POTENTIALS".ACTA MATHEMATICA SCIENTIA 38.6(2018):1966-1980. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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