Liouville type theorems for Hardy-Henon equations with concave nonlinearities

doi:10.1002/mana.201800532

	Liouville type theorems for Hardy-Henon equations with concave nonlinearities
	Dai, Wei 2,3; Qin, Guolin 1,4
刊名	MATHEMATISCHE NACHRICHTEN
	2020-04-22
页码	10
关键词	bi-harmonic concave nonlinearity Hardy-Henon equations Liouville theorems nonnegative solutions super-harmonic property
ISSN号	0025-584X
DOI	10.1002/mana.201800532
英文摘要	In this paper, we are concerned with the Hardy-Henon equations -Delta u=\|x\|aupand Delta 2u=\|x\|aupwith a is an element of R and p is an element of(0,1]. Inspired by Serrin and Zou [25], we prove Liouville theorems for nonnegative solutions to the above Hardy-Henon equations (Theorem 1.1 and Theorem 1.3), that is, the unique nonnegative solution is u equivalent to 0.
资助项目	National Natural Science Foundation of China[11971049] ; National Natural Science Foundation of China[11501021] ; State Scholarship Fund of China[201806025011]
WOS研究方向	Mathematics
语种	英语
出版者	WILEY-V C H VERLAG GMBH
WOS记录号	WOS:000527608900001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51369]
专题	中国科学院数学与系统科学研究院
通讯作者	Dai, Wei
作者单位	1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Beihang Univ BUAA, Sch Math & Syst Sci, Beijing 100083, Peoples R China 3.Univ Paris 13, LAGA, UMR 7539, Paris, France 4.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Dai, Wei,Qin, Guolin. Liouville type theorems for Hardy-Henon equations with concave nonlinearities[J]. MATHEMATISCHE NACHRICHTEN,2020:10.
APA	Dai, Wei,&Qin, Guolin.(2020).Liouville type theorems for Hardy-Henon equations with concave nonlinearities.MATHEMATISCHE NACHRICHTEN,10.
MLA	Dai, Wei,et al."Liouville type theorems for Hardy-Henon equations with concave nonlinearities".MATHEMATISCHE NACHRICHTEN (2020):10.