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	Computations of critical groups and applications to asymptotically linear wave equation and beam equation
	Pingan Zeng ; Jiaquan Liu ; Yuxia Guo
	2010-05-06 ; 2010-05-06
关键词	Theoretical or Mathematical/ functional analysis group theory resonance wave equations/ critical groups asymptotically linear wave equation beam equation Morse index theory strongly indefinite functionals origin infinity abstract theorems existence multiplicity nontrivial periodical solutions resonance/ A0340K Waves and wave propagation: general mathematical aspects A0365G Solutions of wave equations: bound state in quantum theory A0230 Function theory, analysis A0220 Group theory
中文摘要	In this paper, by using the Morse index theory for strongly indefinite functionals developed in [Nonlinear Anal. TMA, in press], we compute precisely the critical groups at the origin and at infinity, respectively. The abstract theorems are used to study the existence (multiplicity) of nontrivial periodical solutions for asymptotically wave equation and beam equation with resonance both at infinity and at zero. [All rights reserved Elsevier].
语种	英语 ; 英语
出版者	Academic Press ; USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13795]
专题	清华大学
推荐引用方式 GB/T 7714	Pingan Zeng,Jiaquan Liu,Yuxia Guo. Computations of critical groups and applications to asymptotically linear wave equation and beam equation[J],2010, 2010.
APA	Pingan Zeng,Jiaquan Liu,&Yuxia Guo.(2010).Computations of critical groups and applications to asymptotically linear wave equation and beam equation..
MLA	Pingan Zeng,et al."Computations of critical groups and applications to asymptotically linear wave equation and beam equation".(2010).

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