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
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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). |
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