On a class of infinite-dimensional Hamiltonian systems with asymptotically periodic nonlinearities

doi:10.1007/s11401-010-0625-0

CSpace

	On a class of infinite-dimensional Hamiltonian systems with asymptotically periodic nonlinearities
	Yang, Minbo 1; Shen, Zifei 2; Ding, Yanheng 2
	2011
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	32 期号:1 页码:45-58
摘要	The authors study the existence of homoclinic type solutions for the following system of diffusion equations on R x R-N: {partial derivative(t)u - Delta(x)u + b . del(x)u + au + V(t,x)v = H-v(t,x,u,v), -partial derivative(t)v - Delta(x)v + b . del(x)v + av + V(t,x)u = H-u(t,x,u,v), where z = (u, v): R x R-N -> R-m x R-m , a > 0, b = (b(1), ... , b(N)) is a constant vector and V is an element of C(R x R-N, R), H is an element of C-1 (R x R-N x R-2m, R). Under suitable conditions on V(t,x) and the nonlinearity for H(t, x, z), at least one non-stationary homoclinic solution with least energy is obtained.
关键词	Variational methods Least energy solution Hamiltonian system
DOI	10.1007/s11401-010-0625-0
语种	英语
资助项目	National Natural Science Foundation of China[10971194] ; Zhejiang Provincial Natural Science Foundation of China[Y7080008] ; Zhejiang Provincial Natural Science Foundation of China[R6090109] ; Zhejiang Innovation Project[T200905]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000287203400004
出版者	SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13121
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Minbo
作者单位	1.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yang, Minbo,Shen, Zifei,Ding, Yanheng. On a class of infinite-dimensional Hamiltonian systems with asymptotically periodic nonlinearities[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2011,32(1):45-58.
APA	Yang, Minbo,Shen, Zifei,&Ding, Yanheng.(2011).On a class of infinite-dimensional Hamiltonian systems with asymptotically periodic nonlinearities.CHINESE ANNALS OF MATHEMATICS SERIES B,32(1),45-58.
MLA	Yang, Minbo,et al."On a class of infinite-dimensional Hamiltonian systems with asymptotically periodic nonlinearities".CHINESE ANNALS OF MATHEMATICS SERIES B 32.1(2011):45-58.