Splitting theorem, Poincare-Hopf theorem and jumping nonlinear problems

doi:10.1016/j.jfa.2004.09.010

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	Splitting theorem, Poincare-Hopf theorem and jumping nonlinear problems
	Li, C; Li, SJ ; Liu, JQ
	2005-04-15
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	221 期号:2 页码:439-455
摘要	In this paper, we establish a Gromoll-Meyer splitting theorem and a shifting theorem for J is an element of C2-0 (E, R) and by using the finite-dimensional approximation, mollifiers and Morse theory we generalize the Poincare-Hopf theorem to J is an element of C-1 (E, R) case. By combining the Poincare-Hopf theorem and the splitting theorem, we study the existence of multiple solutions for jumping nonlinear elliptic equations. (c) 2004 Elsevier Inc. All rights reserved.
关键词	the Poincare-Hopf theorem the splitting theorem multiple solutions jumping nonlinear elliptic equations
DOI	10.1016/j.jfa.2004.09.010
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000227888900007
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1673
专题	数学所
通讯作者	Li, SJ
作者单位	1.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Tsing Hua Univ, Dept Math, Beijing 100084, Peoples R China 3.Peking Univ, Dept Math, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Li, C,Li, SJ,Liu, JQ. Splitting theorem, Poincare-Hopf theorem and jumping nonlinear problems[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2005,221(2):439-455.
APA	Li, C,Li, SJ,&Liu, JQ.(2005).Splitting theorem, Poincare-Hopf theorem and jumping nonlinear problems.JOURNAL OF FUNCTIONAL ANALYSIS,221(2),439-455.
MLA	Li, C,et al."Splitting theorem, Poincare-Hopf theorem and jumping nonlinear problems".JOURNAL OF FUNCTIONAL ANALYSIS 221.2(2005):439-455.