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	Computations of critical groups and applications to asymptotically linear wave equation and beam equation
	Zeng, PG ; Liu, JQ ; Guo, YX
	2004
关键词	Morse index theory critical groups wave equation beam equation MORSE-THEORY FREE-VIBRATIONS FUNCTIONALS COHOMOLOGY RESONANCE
英文摘要	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. (C) 2004 Elsevier Inc. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; 1; 102-128; 300
语种	英语
出处	SCI
出版者	数学分析与应用杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/254284]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zeng, PG,Liu, JQ,Guo, YX. Computations of critical groups and applications to asymptotically linear wave equation and beam equation. 2004-01-01.

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