Splitting lemma at infinity and a strongly resonant problem with periodic nonlinearity

doi:10.1007/s00526-006-0025-1

CSpace

	Splitting lemma at infinity and a strongly resonant problem with periodic nonlinearity
	Chen, SW ; Li, SJ
	2006-09-01
发表期刊	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0944-2669
卷号	27 期号:1 页码:105-123
摘要	In this paper we study the following problem: - Delta u - lambda(2)u = g(u) + h( x), x is an element of B, u( x) = 0, x is an element of partial derivative B with periodic nonlinearity g, where B = {x is an element of R-2 \| \| x\| < 1} and lambda(2) is the second eigenvalue of -Delta on H-0(1) (B). We proved that the problem has infinitely many solutions under some additional conditions on g and h. The method we used is a new variational reduction method.
关键词	splitting lemma strongly resonant problem
DOI	10.1007/s00526-006-0025-1
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000238136300005
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2819
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, SW
作者单位	1.Fujian Normal Univ, Dept Math, Fuzhou 350007, Peoples R China 2.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, SW,Li, SJ. Splitting lemma at infinity and a strongly resonant problem with periodic nonlinearity[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2006,27(1):105-123.
APA	Chen, SW,&Li, SJ.(2006).Splitting lemma at infinity and a strongly resonant problem with periodic nonlinearity.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,27(1),105-123.
MLA	Chen, SW,et al."Splitting lemma at infinity and a strongly resonant problem with periodic nonlinearity".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 27.1(2006):105-123.