Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary condition

doi:10.1016/j.jmaa.2004.01.017

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	Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary condition
	Li, C; Li, SJ
	2004-10-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	298 期号:1 页码:14-32
摘要	In this paper, we study and discuss nonlinear elliptic equations with Neumann boundary condition for oscillation problem. We obtain infinitely many positive and negative solutions of (1.1) which are all nonconstant, and get at least two nonconstant solutions in every order interval under resonance case. Moreover, we yield infinitely many sign-changing solutions of (1.1) under some assumptions. Furthermore, we give a precise description of critical groups of some kinds of critical points. We draw the conclusions by using sub-sup solution method, mountain pass theorem in order intervals, Leray-Schauder degree theory and Morse theory. (C) 2004 Elsevier Inc. All rights reserved.
关键词	multiple solutions and sign-changing solutions critical group Neumann boundary value problem Morse theory
DOI	10.1016/j.jmaa.2004.01.017
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000223919200002
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/726
专题	数学所
通讯作者	Li, C
作者单位	1.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, C,Li, SJ. Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary condition[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2004,298(1):14-32.
APA	Li, C,&Li, SJ.(2004).Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary condition.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,298(1),14-32.
MLA	Li, C,et al."Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary condition".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 298.1(2004):14-32.