Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains

doi:10.1016/j.jde.2020.05.026

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	Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains
	Dai, Wei 1,2; Qin, Guolin 3,4
	2020-10-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	269 期号:9 页码:7231-7252
摘要	In this paper, we are mainly concerned with the Dirichlet problems in exterior domains for the following elliptic equations: with arbitrary r > 0, where 11 > 2, 0 < a < 2 and f (x, u) satisfies some assumptions. A typical case is the Hardy-Henon type equations in exterior domains. We first derive the equivalence between O.1) and the corresponding integral equations
关键词	The method of scaling spheres Hardy-H?non type equations Liouville theorems Nonnegative solutions Exterior domains
DOI	10.1016/j.jde.2020.05.026
收录类别	SCI
语种	英语
资助项目	NNSF of China[11971049] ; NNSF of China[11501021] ; Fundamental Research Funds for the Central Universities[YWF-19-BJ-J-317] ; State Scholarship Fund of China[201806025011]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000544102900029
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51718
专题	中国科学院数学与系统科学研究院
通讯作者	Qin, Guolin
作者单位	1.Beihang Univ BUAA, Sch Math Sci, Beijing 100083, Peoples R China 2.Univ Paris 13, UMR 7539, LAGA, Paris, France 3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Dai, Wei,Qin, Guolin. Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2020,269(9):7231-7252.
APA	Dai, Wei,&Qin, Guolin.(2020).Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains.JOURNAL OF DIFFERENTIAL EQUATIONS,269(9),7231-7252.
MLA	Dai, Wei,et al."Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains".JOURNAL OF DIFFERENTIAL EQUATIONS 269.9(2020):7231-7252.