中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Multiplicity of asymmetric solutions for nonlinear elliptic problems

文献类型:期刊论文

作者Cao, Daomin; Noussair, Ezzat S.; Yan, Shusen
刊名QUARTERLY OF APPLIED MATHEMATICS
出版日期2006-09-01
卷号64期号:3页码:463-482
关键词nonlinear elliptic equation asymmetric positive solutions variational method critical point
ISSN号0033-569X
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000240843600005
出版者BROWN UNIV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/2560]  
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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