Infinitely many solutions for Hamiltonian systems

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	Infinitely many solutions for Hamiltonian systems
	Zou, WM ; Li, SJ
	2002-11-20
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	186 期号:1 页码:141-164
摘要	We consider two classes of the second-order Hamiltonian systems with symmetry. If the systems are asymptotically linear with resonance, we obtain infinitely many small-energy solutions by minimax technique. If the systems possess sign-changing potential, we also establish an existence theorem of infinitely many solutions by Morse theory. (C) 2002 Elsevier Science (USA). All rights reserved.
关键词	Hamiltonian system resonance sign-changing potential Betti number Morse theory
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000179818500007
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/17364
专题	中国科学院数学与系统科学研究院
通讯作者	Zou, WM
作者单位	1.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zou, WM,Li, SJ. Infinitely many solutions for Hamiltonian systems[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2002,186(1):141-164.
APA	Zou, WM,&Li, SJ.(2002).Infinitely many solutions for Hamiltonian systems.JOURNAL OF DIFFERENTIAL EQUATIONS,186(1),141-164.
MLA	Zou, WM,et al."Infinitely many solutions for Hamiltonian systems".JOURNAL OF DIFFERENTIAL EQUATIONS 186.1(2002):141-164.