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![]() ![]() |
刊名 | APPLIED MATHEMATICS LETTERS
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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 |
DOI | 10.1016/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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