Multiple positive solutions for a critical growth problem with Hardy potential
文献类型：期刊论文
| 作者 | Han, PG
|
| 刊名 | PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
 |
| 出版日期 | 2006-02-01 |
| 卷号 | 49页码:53-69 |
| 关键词 | positive solution subsolution and supersolution Palais-Smale condition critical Sobolev exponent |
| ISSN号 | 0013-0915 |
| DOI | 10.1017/S0013091504001464 |
| 英文摘要 | In this paper we study the existence and nonexistence of multiple positive solutions for the Dirichlet problem: -Delta u-u/\x\(2) = lambda(1 + u)(p), u > 0, u is an element of H-0(1)(Omega), (*) where 0 <= mu < (1/2 (N-2))(2), lambda > 0, 1 < p <= (N+2)/(N-2), N >= 3. Using the sub-supersolution method and the variational approach, we prove that there exists a positive number lambda* such that problem (*) possesses at least two positive solutions if lambda is an element of (0, lambda*), a unique positive solution if lambda = lambda*, and no positive solution if lambda is an element of (lambda*, infinity). |
| 语种 | 英语 |
| WOS记录号 | WOS:000235872500005 |
| 出版者 | CAMBRIDGE UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3200]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Han, PG |
| 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 | Han, PG. Multiple positive solutions for a critical growth problem with Hardy potential[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY,2006,49:53-69. |
| APA | Han, PG.(2006).Multiple positive solutions for a critical growth problem with Hardy potential.PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY,49,53-69. |
| MLA | Han, PG."Multiple positive solutions for a critical growth problem with Hardy potential".PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY 49(2006):53-69. |
入库方式： OAI收割
来源：数学与系统科学研究院
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