Multiplicity of asymmetric solutions for nonlinear elliptic problems

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	Multiplicity of asymmetric solutions for nonlinear elliptic problems
	Cao, Daomin; Noussair, Ezzat S.; Yan, Shusen
	2006-09-01
发表期刊	QUARTERLY OF APPLIED MATHEMATICS
ISSN	0033-569X
卷号	64 期号:3 页码:463-482
摘要	In this paper we study the existence of multiple asymmetric positive solutions for the following symmetric problem: [GRAPHICS] where lambda > 0 is a parameter, h(x) and f (x) are nonnegative radially symmetric functions in L-infinity (R-N), h(x) and f (x) have compact support in R-N, f(x) <= 1 for all x is an element of R-N, 1 = 3. We prove that for any k = 1,2, ..., if lambda is large enough the above problem has positive solutions u(lambda) concentrating at k distinct points away from the origin as lambda goes to infinity.
关键词	nonlinear elliptic equation asymmetric positive solutions variational method critical point
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000240843600005
出版者	BROWN UNIV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2561
专题	应用数学研究所
通讯作者	Cao, Daomin
作者单位	1.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100080, Peoples R China 2.Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia 3.Univ New England, Sch Math Stat & Comp Sci, Armidale, NSW 2351, Australia
推荐引用方式 GB/T 7714	Cao, Daomin,Noussair, Ezzat S.,Yan, Shusen. Multiplicity of asymmetric solutions for nonlinear elliptic problems[J]. QUARTERLY OF APPLIED MATHEMATICS,2006,64(3):463-482.
APA	Cao, Daomin,Noussair, Ezzat S.,&Yan, Shusen.(2006).Multiplicity of asymmetric solutions for nonlinear elliptic problems.QUARTERLY OF APPLIED MATHEMATICS,64(3),463-482.
MLA	Cao, Daomin,et al."Multiplicity of asymmetric solutions for nonlinear elliptic problems".QUARTERLY OF APPLIED MATHEMATICS 64.3(2006):463-482.