Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary value problems with resonance at infinity

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	Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary value problems with resonance at infinity
	Dancer, EN ; Zhang, ZT
	2000-10-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	250 期号:2 页码:449-464
摘要	In this paper, we use Fucik spectrum, ordinary differential equation theory of Banach spaces to study semilinear elliptic boundary value problems with jumping nonlinearities at zero or infinity, especially with resonance at infinity, and obtain new results on the existence of multiple solutions and sign-changing solutions with a weakening of the P.S. condition. In one case we get up to seven nontrivial solutions. The techniques have independent interest. (C) 2000 Academic Press.
关键词	Fucik spectrum critical points sign-changing solutions Dirichlet problems multiple solutions jumping nonlinearities
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000089976400005
出版者	ACADEMIC PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14988
专题	中国科学院数学与系统科学研究院
通讯作者	Dancer, EN
作者单位	1.Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia 2.Acad Sinica, Math Inst, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Dancer, EN,Zhang, ZT. Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary value problems with resonance at infinity[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2000,250(2):449-464.
APA	Dancer, EN,&Zhang, ZT.(2000).Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary value problems with resonance at infinity.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,250(2),449-464.
MLA	Dancer, EN,et al."Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary value problems with resonance at infinity".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 250.2(2000):449-464.