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Proof of the Henon-Lane-Emden conjecture in R-3
Li, Kui1; Zhang, Zhitao2,3
2019-01-05
Source PublicationJOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
Volume266Issue:1Pages:202-226
AbstractWe 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.
KeywordHenon-Lane-Emden conjecture Nonlinear elliptic weighted system Liouville-type theorems
DOI10.1016/j.jde.2018.07.036
Language英语
Funding ProjectNSF of China[11771428] ; NSF of China[11688101] ; NSF of China[11325107] ; NSF of China[11571339]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000449108500008
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31671
Collection数学所
Affiliation1.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
Recommended Citation
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.
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