Asymptotic behaviour of positive solutions for critical systems with strongly indefinite structure
文献类型：期刊论文
| 作者 | Liu, Zhaoxia2; Han, Pigong1
|
| 刊名 | APPLICABLE ANALYSIS
 |
| 出版日期 | 2008 |
| 卷号 | 87期号:3页码:363-376 |
| 关键词 | Hamiltonian systems Green's function asymptotic behaviour ground state |
| ISSN号 | 0003-6811 |
| DOI | 10.1080/00036810801926890 |
| 英文摘要 | In this article, we study the asymptotic behaviour of positive solutions to the Hamiltonian elliptic systems -Delta nu = u(p-epsilon), -Delta u = nu(q-delta) in Omega; u, nu > 0 in Omega; u = nu = 0 on partial derivative Omega, where Omega is a unit ball in R-N(N >= 3) centered at the origin; 1/(p + 1) + 1/(q + 1) = (N - 2)/N, p, q > 1; epsilon, delta > 0. The solutions are shown to blow up at exactly the origin. The exact rate of blowing up is also given. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000254132100009 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5934]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Han, Pigong |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Cent Univ National, Sch Sci, Dept Informat & Computat Sci, Beijing 100081, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Zhaoxia,Han, Pigong. Asymptotic behaviour of positive solutions for critical systems with strongly indefinite structure[J]. APPLICABLE ANALYSIS,2008,87(3):363-376. |
| APA | Liu, Zhaoxia,&Han, Pigong.(2008).Asymptotic behaviour of positive solutions for critical systems with strongly indefinite structure.APPLICABLE ANALYSIS,87(3),363-376. |
| MLA | Liu, Zhaoxia,et al."Asymptotic behaviour of positive solutions for critical systems with strongly indefinite structure".APPLICABLE ANALYSIS 87.3(2008):363-376. |
入库方式： OAI收割
来源：数学与系统科学研究院
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