Proof of the Henon-Lane-Emden conjecture in R-3
文献类型：期刊论文
| 作者 | Li, Kui1; Zhang, Zhitao2,3
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2019-01-05 |
| 卷号 | 266期号:1页码:202-226 |
| 关键词 | Henon-Lane-Emden conjecture Nonlinear elliptic weighted system Liouville-type theorems |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2018.07.036 |
| 英文摘要 | We study the Henon-Lane-Emden conjecture, which states that there is no non-trivial non-negative solution for the Henon-Lane-Emden elliptic system whenever the pair of exponents is subcritical. By scale invariance of the solutions and Sobolev embedding on SN-1, we prove this conjecture is true for space dimension N = 3; which also implies the single elliptic equation has no positive classical solutions in R-3 when the exponent lies below the Hardy-Sobolev exponent, this covers the conjecture of Phan-Souplet [22] for R-3. (C)2018 Elsevier Inc. All rights reserved. |
| 资助项目 | NSF of China[11771428] ; NSF of China[11688101] ; NSF of China[11325107] ; NSF of China[11571339] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000449108500008 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31670]  |
| 专题 | 数学所 |
| 通讯作者 | Zhang, Zhitao |
| 作者单位 | 1.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, HCMS, CEMS,HLM, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Kui,Zhang, Zhitao. Proof of the Henon-Lane-Emden conjecture in R-3[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2019,266(1):202-226. |
| APA | Li, Kui,&Zhang, Zhitao.(2019).Proof of the Henon-Lane-Emden conjecture in R-3.JOURNAL OF DIFFERENTIAL EQUATIONS,266(1),202-226. |
| MLA | Li, Kui,et al."Proof of the Henon-Lane-Emden conjecture in R-3".JOURNAL OF DIFFERENTIAL EQUATIONS 266.1(2019):202-226. |
入库方式： OAI收割
来源：数学与系统科学研究院
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