A global compactness result for singular elliptic problems involving critical Sobolev exponent
文献类型：期刊论文
| 作者 | Cao, DM ; Peng, SJ
|
| 刊名 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2003 |
| 卷号 | 131期号:6页码:1857-1866 |
| 关键词 | Palais-Smale sequence compactness Sobolev and Hardy critical exponents |
| ISSN号 | 0002-9939 |
| 英文摘要 | Let Omega subset of R-N be a bounded domain such that 0 is an element of Omega, N greater than or equal to 3, 2* = 2N/N-2, lambda is an element of R, epsilon is an element of R. Let {u(n)} subset of H-0(1)(Omega) be a (P.S.) sequence of the functional E-lambda,E-epsilon(u) = 1/2 integral(Omega)(\delu\(2) - lambdau(2) / \x\(2) - epsilonu(2)) - 1/2* integral(Omega)\u\(2*). We study the limit behaviour of un and obtain a global compactness result. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000181046000026 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18298]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Cao, DM |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Xiao Gan Univ, Dept Math, Xiao Gan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, DM,Peng, SJ. A global compactness result for singular elliptic problems involving critical Sobolev exponent[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2003,131(6):1857-1866. |
| APA | Cao, DM,&Peng, SJ.(2003).A global compactness result for singular elliptic problems involving critical Sobolev exponent.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,131(6),1857-1866. |
| MLA | Cao, DM,et al."A global compactness result for singular elliptic problems involving critical Sobolev exponent".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 131.6(2003):1857-1866. |
入库方式： OAI收割
来源：数学与系统科学研究院
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