中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
A note on the positive energy solutions for elliptic equations involving critical Sobolev exponents

文献类型:期刊论文

作者Cao, DM; Han, PG
刊名APPLIED MATHEMATICS LETTERS
出版日期2003-10-01
卷号16期号:7页码:1105-1113
关键词Neumann problem semilinear elliptic equation critical point
ISSN号0893-9659
DOI10.1016/S0893-9659(03)00151-4
英文摘要In this paper, we study the Neumann problem for a class of semilinear elliptic equations -Deltau=\u\(2*-2)u+mu\mu\(q-2)u in Omega, partial derivativeu/partial derivativenu=0 on partial derivativeOmega, where Omega is the unit ball in R-N centered at the origin, Ngreater than or equal to3, 2*=2N/(N-2), 10. By cutting the unit ball into angular sectors and using the variational method to deal with a mixed boundary value problem on such domains, we prove the existence of infinitely many nonradial solutions with positive energy for small mu>0. (C) 2003 Elsevier Ltd. All rights reserved.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000186310400019
出版者PERGAMON-ELSEVIER SCIENCE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/18424]  
专题应用数学研究所
通讯作者Cao, DM
作者单位Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714
Cao, DM,Han, PG. A note on the positive energy solutions for elliptic equations involving critical Sobolev exponents[J]. APPLIED MATHEMATICS LETTERS,2003,16(7):1105-1113.
APA Cao, DM,&Han, PG.(2003).A note on the positive energy solutions for elliptic equations involving critical Sobolev exponents.APPLIED MATHEMATICS LETTERS,16(7),1105-1113.
MLA Cao, DM,et al."A note on the positive energy solutions for elliptic equations involving critical Sobolev exponents".APPLIED MATHEMATICS LETTERS 16.7(2003):1105-1113.

入库方式: OAI收割

来源:数学与系统科学研究院

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