KMS Of Academy of mathematics and systems sciences, CAS
| Multiple positive solutions for a critical growth problem with Hardy potential | |
Han, PG
| |
| 2006-02-01 | |
| Source Publication | PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
 |
| ISSN | 0013-0915 |
| Volume | 49Pages:53-69 |
| Abstract | 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). |
| Keyword | positive solution subsolution and supersolution Palais-Smale condition critical Sobolev exponent |
| DOI | 10.1017/S0013091504001464 |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000235872500005 |
| Publisher | CAMBRIDGE UNIV PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/3201 |
| Collection | 应用数学研究所 |
| Corresponding Author | Han, PG |
| Affiliation | Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| Recommended Citation 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. |
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