EXISTENCE OF GROUND STATE SOLUTIONS TO HAMILTONIAN ELLIPTIC SYSTEM WITH POTENTIALS

	EXISTENCE OF GROUND STATE SOLUTIONS TO HAMILTONIAN ELLIPTIC SYSTEM WITH POTENTIALS
	Li, Quanqing 1; Wang, Wenbo 2,3
刊名	ACTA MATHEMATICA SCIENTIA
	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.
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关键词	NONLINEAR SCHRODINGER-EQUATIONS
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000451792700023
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
内容类型	期刊论文
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.