CSpace
Critical groups at infinity, saddle point reduction and elliptic resonant problems
Liu, SB; Li, SJ
2003-10-01
Source PublicationCOMMUNICATIONS IN CONTEMPORARY MATHEMATICS
ISSN0219-1997
Volume5Issue:5Pages:761-773
AbstractWe 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.
Keywordmorse inequality critical group Lyapunov-Schmidt reduction elliptic resonant problem
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000186741400004
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
Citation statistics
Cited Times:15[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18044
Collection中国科学院数学与系统科学研究院
AffiliationAcad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Liu, SB]'s Articles
[Li, SJ]'s Articles
Baidu academic
Similar articles in Baidu academic
[Liu, SB]'s Articles
[Li, SJ]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Liu, SB]'s Articles
[Li, SJ]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.