INFINITELY MANY SOLUTIONS FOR ASYMPTOTICALLY LINEAR PERIODIC HAMILTONIAN ELLIPTIC SYSTEMS

doi:10.1051/cocv:2008064

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	INFINITELY MANY SOLUTIONS FOR ASYMPTOTICALLY LINEAR PERIODIC HAMILTONIAN ELLIPTIC SYSTEMS
	Zhao, Fukun 1,2; Zhao, Leiga 3; Ding, Yanheng 2
	2010
发表期刊	ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
ISSN	1292-8119
卷号	16 期号:1 页码:77-91
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.
关键词	Hamiltonian elliptic system variational methods strongly indefinite functionals
DOI	10.1051/cocv:2008064
语种	英语
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
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000274916000005
出版者	EDP SCIENCES S A
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9414
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.