On bifurcation, critical groups and exact multiplicity of solutions to semilinear elliptic boundary value problems

doi:10.1016/j.na.2003.09.024

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	On bifurcation, critical groups and exact multiplicity of solutions to semilinear elliptic boundary value problems
	Zhang, ZT
	2004-08-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	58 期号:5-6 页码:535-546
摘要	In this paper, we use a bifurcation approach, Morse theory to study asymptotically linear and superlinear elliptic boundary value problems, and obtain new results on the exact multiplicity of solutions and sign-changing solutions to asymptotically linear and superlinear problems and the properties of the solutions. (C) 2004 Elsevier Ltd. All rights reserved.
关键词	bifurcation critical points critical groups sign-changing solutions
DOI	10.1016/j.na.2003.09.024
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000223409400003
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/702
专题	数学所
通讯作者	Zhang, ZT
作者单位	Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, ZT. On bifurcation, critical groups and exact multiplicity of solutions to semilinear elliptic boundary value problems[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2004,58(5-6):535-546.
APA	Zhang, ZT.(2004).On bifurcation, critical groups and exact multiplicity of solutions to semilinear elliptic boundary value problems.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,58(5-6),535-546.
MLA	Zhang, ZT."On bifurcation, critical groups and exact multiplicity of solutions to semilinear elliptic boundary value problems".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 58.5-6(2004):535-546.