Critical groups at infinity, saddle point reduction and elliptic resonant problems

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	Critical groups at infinity, saddle point reduction and elliptic resonant problems
	Liu, SB; Li, SJ
	2003-10-01
发表期刊	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
ISSN	0219-1997
卷号	5 期号:5 页码:761-773
摘要	We prove that if the Lyapunov-Schmidt method is applicable, then the critical groups at infinity of the reduced functional are isomorphic to those of the original functional. This observation, combining with our results on the critical groups of finite dimensional functional, enables us to compute the critical groups at infinity. New multiplicity results for resonant elliptic boundary value problems are obtained as applications.
关键词	morse inequality critical group Lyapunov-Schmidt reduction elliptic resonant problem
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000186741400004
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18044
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, SB
作者单位	Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, SB,Li, SJ. Critical groups at infinity, saddle point reduction and elliptic resonant problems[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2003,5(5):761-773.
APA	Liu, SB,&Li, SJ.(2003).Critical groups at infinity, saddle point reduction and elliptic resonant problems.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,5(5),761-773.
MLA	Liu, SB,et al."Critical groups at infinity, saddle point reduction and elliptic resonant problems".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 5.5(2003):761-773.