Solutions for semilinear elliptic equations with critical exponents and Hardy potential
文献类型：期刊论文
| 作者 | Cao, DM ; Han, PG
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2004-10-15 |
| 卷号 | 205期号:2页码:521-537 |
| 关键词 | semilinear elliptic equation energy functional Palais-Smale condition critical Sobolev exponent |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2004.03.005 |
| 英文摘要 | In this paper, we answer affirmatively an open problem (cf. Theorem 4' in Ferrero and Gazzola (J. Differential Equations 177 (2001) 494): Let OhmThere Exists0 be an open-bounded domain, Ohm subset of R-N (N greater than or equal to 5)and assume that 0 less than or equal to mu < (N-2/2)(2) - (N+2/N)(2), then, for all lambda > 0 there exists a nontrivial solution with critical level in the range (0, 1/N S-mu(N/2)) for the problem -Deltamu- mu u/\x\(2) = lambdau + \u\(2*-2)u in Ohm; u = 0 on partial derivativeOhm. (C) 2004 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000224505500011 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19537]  |
| 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, AMSS, Beijing 100080, Peoples R China 2.Acad Sinica, Grad Sch, Beijing 100039, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, DM,Han, PG. Solutions for semilinear elliptic equations with critical exponents and Hardy potential[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2004,205(2):521-537. |
| APA | Cao, DM,&Han, PG.(2004).Solutions for semilinear elliptic equations with critical exponents and Hardy potential.JOURNAL OF DIFFERENTIAL EQUATIONS,205(2),521-537. |
| MLA | Cao, DM,et al."Solutions for semilinear elliptic equations with critical exponents and Hardy potential".JOURNAL OF DIFFERENTIAL EQUATIONS 205.2(2004):521-537. |
入库方式： OAI收割
来源：数学与系统科学研究院
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