Solutions to critical elliptic equations with multi-singular inverse square potentials
文献类型：期刊论文
| 作者 | Cao, DM ; Han, PG
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2006-05-15 |
| 卷号 | 224期号:2页码:332-372 |
| ISSN号 | 0022-0396 |
| 关键词 | semilinear elliptic equation energy functional Palais-Smale condition critical Sobolev exponent |
| DOI | 10.1016/j.jde.2005.07.010 |
| 英文摘要 | Let Omega be an open-bounded domain in RN (N >= 3) with smooth boundary partial derivative Omega. We are concerned with the multi-singular critical elliptic problem [GRAPHICS] where mu(i) is an element of R, 2* = 2N/N-2, a(i) is an element of Omega (1 <= i <= k) and Q (x) is a positive bounded function on Omega. Using Moser iteration, we prove the asymptotic behavior of solutions for (*) at points a(i) (1 <= i <= k). By exploiting the effect of the coefficient of the critical nonlinearity, we, by means of a variational method, establish the existence of positive and sign-changing solutions for problem (*). (c) 2005 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| WOS记录号 | WOS:000237877000006 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2449]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Cao, DM |
| 作者单位 | Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, DM,Han, PG. Solutions to critical elliptic equations with multi-singular inverse square potentials[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2006,224(2):332-372. |
| APA | Cao, DM,&Han, PG.(2006).Solutions to critical elliptic equations with multi-singular inverse square potentials.JOURNAL OF DIFFERENTIAL EQUATIONS,224(2),332-372. |
| MLA | Cao, DM,et al."Solutions to critical elliptic equations with multi-singular inverse square potentials".JOURNAL OF DIFFERENTIAL EQUATIONS 224.2(2006):332-372. |
入库方式： OAI收割
来源：数学与系统科学研究院
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