LIOUVILLE TYPE THEOREMS FOR FRACTIONAL AND HIGHER-ORDER FRACTIONAL SYSTEMS

doi:10.3934/dcds.2020361

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	LIOUVILLE TYPE THEOREMS FOR FRACTIONAL AND HIGHER-ORDER FRACTIONAL SYSTEMS
	Cao, Daomin 2,3; Qin, Guolin 1,4
刊名	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
	2021-05-01
卷号	41 期号:5 页码:2269-2283
关键词	Fractional Laplacians Henon-Lane-Emden systems decay estimates higher-order fractional Laplacians Lionville type theorems
ISSN号	1078-0947
DOI	10.3934/dcds.2020361
英文摘要	In this paper, we first establish decay estimates for the fractional and higher-order fractional Henon-Lane-Emden systems by using a nonlocal average and integral estimates, which deduce a result of non-existence. Next, we apply the method of scaling spheres introduced in [16] to derive a Lionville type theorem. We also construct an interesting example on super alpha/2-harmonic functions (Proposition 1.2).
资助项目	NNSF of China[11831009] ; Chinese Academy of Sciences
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000616112000012
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58215]
专题	应用数学研究所
通讯作者	Cao, Daomin
作者单位	1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Qin, Guolin. LIOUVILLE TYPE THEOREMS FOR FRACTIONAL AND HIGHER-ORDER FRACTIONAL SYSTEMS[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2021,41(5):2269-2283.
APA	Cao, Daomin,&Qin, Guolin.(2021).LIOUVILLE TYPE THEOREMS FOR FRACTIONAL AND HIGHER-ORDER FRACTIONAL SYSTEMS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,41(5),2269-2283.
MLA	Cao, Daomin,et al."LIOUVILLE TYPE THEOREMS FOR FRACTIONAL AND HIGHER-ORDER FRACTIONAL SYSTEMS".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 41.5(2021):2269-2283.