Asymptotic behaviour of ground state solutions for the Henon equation
文献类型：期刊论文
| 作者 | Cao, Daomin2 ; Peng, Shuangjie1; Yan, Shusen3
|
| 刊名 | IMA JOURNAL OF APPLIED MATHEMATICS
 |
| 出版日期 | 2009-06-01 |
| 卷号 | 74期号:3页码:468-480 |
| 关键词 | Henon equation ground state solutions asymptotic behaviour |
| ISSN号 | 0272-4960 |
| DOI | 10.1093/imamat/hxn035 |
| 英文摘要 | Let B(1)(0) subset of R(N) be the unit ball centred at the origin, N >= 3. In this paper, we analyse the profile of the ground state solution of the Henon equation - Delta u = |x|(alpha)u(p-1) in B(1)(0), u = 0 on partial derivative B(1)(0). We prove that for fixed p is an element of (2, 2(*)), (2(*) = 2N/(N - 2)), the maximum point x(alpha) of the ground state solution u(alpha) satisfies alpha(1 - vertical bar x(alpha)vertical bar) -> l is an element of (0, +infinity) as alpha -> infinity. We also obtain the asymptotic behaviour of u(alpha), which shows that the ground state solution is non-radial. Moreover, we prove the existence of multi-peaked solutions and give their asymptotic behaviour. |
| 资助项目 | National Natural Science Foundation of China[10631030] ; National Natural Science Foundation of China[10721101] ; Chinese Academy of Sciences[KJCX3-SYW-S03] ; New Century Excellent Talents in University[07-0350] ; Key Project of Chinese Ministry of Education[107081] ; Scientific Research Foundation ; Australian Research Council of Australia |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000266499300010 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8878]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Peng, Shuangjie |
| 作者单位 | 1.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 3.Univ New England, Sch Math Stat & Comp Sci, Armidale, NSW 2351, Australia |
| 推荐引用方式 GB/T 7714 | Cao, Daomin,Peng, Shuangjie,Yan, Shusen. Asymptotic behaviour of ground state solutions for the Henon equation[J]. IMA JOURNAL OF APPLIED MATHEMATICS,2009,74(3):468-480. |
| APA | Cao, Daomin,Peng, Shuangjie,&Yan, Shusen.(2009).Asymptotic behaviour of ground state solutions for the Henon equation.IMA JOURNAL OF APPLIED MATHEMATICS,74(3),468-480. |
| MLA | Cao, Daomin,et al."Asymptotic behaviour of ground state solutions for the Henon equation".IMA JOURNAL OF APPLIED MATHEMATICS 74.3(2009):468-480. |
入库方式： OAI收割
来源：数学与系统科学研究院
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