Periodic solutions for a class of first order super-quadratic Hamiltonian system

doi:10.1016/j.jmaa.2006.08.003

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	Periodic solutions for a class of first order super-quadratic Hamiltonian system
	Mao, Anmin ; Luan, Shixia ; Ding, Yanheng
	2007-06-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	330 期号:1 页码:584-596
摘要	Based on a developed local linking theorem, by replacing the Palais-Smale condition with a Cerami one, we consider the following unbounded Hamiltonian system: {partial derivative(t)u - Delta(x)u + V(x)u = H-v (t, x, u, v), for (t, x) is an element of R x Omega, {-partial derivative(t)v - Delta(x)v + V (x) v = H-u (t, x, u, v) where Omega subset of R-N, N >= 1, is a bounded domain with smooth boundary partial derivative Omega. The nonlinearities are assumed to be super-quadratic at the infinite, which are different from those investigated previously. (c) 2006 Elsevier Inc. All rights reserved.
关键词	infinite dimensional Hamiltonian system periodic solution variational method local linking
DOI	10.1016/j.jmaa.2006.08.003
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000247015800043
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3984
专题	中国科学院数学与系统科学研究院
通讯作者	Mao, Anmin
作者单位	1.Qufu Normal Univ, Dept Math, Shandong 273165, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Mao, Anmin,Luan, Shixia,Ding, Yanheng. Periodic solutions for a class of first order super-quadratic Hamiltonian system[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2007,330(1):584-596.
APA	Mao, Anmin,Luan, Shixia,&Ding, Yanheng.(2007).Periodic solutions for a class of first order super-quadratic Hamiltonian system.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,330(1),584-596.
MLA	Mao, Anmin,et al."Periodic solutions for a class of first order super-quadratic Hamiltonian system".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 330.1(2007):584-596.