Homology of saddle point reduction and applications to resonant elliptic systems

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	Homology of saddle point reduction and applications to resonant elliptic systems
	Li, Chong ; Liu, Shibo ; Liu SB(刘轼波)
刊名	http://dx.doi.org/10.1016/j.na.2012.11.007
	2013
关键词	MULTIPLE SOLUTIONS NONTRIVIAL SOLUTIONS DIFFERENTIAL-EQUATIONS COMPUTATIONS
英文摘要	NSFC [11071237, 11171204]; RFDP [20094402110001]; In the setting of saddle point reduction, we prove that the critical groups of the original functional and the reduced functional are isomorphic. As application, we obtain two nontrivial solutions for elliptic gradient systems which may be resonant both at the origin and at infinity. The difficulty that the variational functional does not satisfy the Palais-Smale condition is overcame by taking advantage of saddle point reduction. Our abstract results on critical groups are crucial. (C) 2012 Elsevier Ltd. All rights reserved.
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91298]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Li, Chong,Liu, Shibo,Liu SB. Homology of saddle point reduction and applications to resonant elliptic systems[J]. http://dx.doi.org/10.1016/j.na.2012.11.007,2013.
APA	Li, Chong,Liu, Shibo,&刘轼波.(2013).Homology of saddle point reduction and applications to resonant elliptic systems.http://dx.doi.org/10.1016/j.na.2012.11.007.
MLA	Li, Chong,et al."Homology of saddle point reduction and applications to resonant elliptic systems".http://dx.doi.org/10.1016/j.na.2012.11.007 (2013).