Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero

doi:10.1006/jdeq.2001.4015

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	Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero
	Zhang, ZT; Li, XD
	2002-01-20
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	178 期号:2 页码:298-313
摘要	In this paper, we use the ordinary differential equation theory of Banach spaces and minimax theory, in particular, the local mountain pass lemma to study asymptotically linear and superlinear elliptic boundary value problems with a reaction term nonzero at zero, and get new multiple solutions and sign-changing solutions theorems. Moreover, the sign-changing solutions change sign exactly once under some conditions. (C) 2002 Elsevier Science.
关键词	sign-changing solutions Dirichlet problems reaction term multiple solutions
DOI	10.1006/jdeq.2001.4015
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000173855200002
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/17098
专题	数学所
通讯作者	Zhang, ZT
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 2.Univ Illinois, Dept Math, Urbana, IL 61801 USA
推荐引用方式 GB/T 7714	Zhang, ZT,Li, XD. Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2002,178(2):298-313.
APA	Zhang, ZT,&Li, XD.(2002).Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero.JOURNAL OF DIFFERENTIAL EQUATIONS,178(2),298-313.
MLA	Zhang, ZT,et al."Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero".JOURNAL OF DIFFERENTIAL EQUATIONS 178.2(2002):298-313.