Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications

doi:10.1007/s10231-020-01027-9

	Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications
	Dai, Wei 2; Qin, Guolin 1,3
刊名	ANNALI DI MATEMATICA PURA ED APPLICATA
	2020-08-11
页码	50
关键词	Uniformly elliptic nonlocal Bellman operator Uniformly elliptic nonlocal Monge-Ampere operator Maximum principles Method of moving planes Monotonicity symmetry and uniqueness Asymptotic properties
ISSN号	0373-3114
DOI	10.1007/s10231-020-01027-9
英文摘要	In this paper, we establish various maximum principles and develop the method of moving planes for equations involving the uniformly elliptic nonlocal Bellman operator. As a consequence, we derive multiple applications of these maximum principles and the moving planes method. For instance, we prove symmetry, monotonicity and uniqueness results and asymptotic properties for solutions to various equations involving the uniformly elliptic nonlocal Bellman operator in bounded domains, unbounded domains, epigraph or R-n. In particular, the uniformly elliptic nonlocal Monge-Ampere operator introduced by Caffarelli and Charro (Ann PDE 1:4, 2015) is a typical example of the uniformly elliptic nonlocal Bellman operator.
资助项目	NNSF of China[11971049] ; Fundamental Research Funds for the Central Universities
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000559638400001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51982]
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.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Beihang Univ BUAA, Sch Math Sci, Beijing 100083, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Dai, Wei,Qin, Guolin. Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications[J]. ANNALI DI MATEMATICA PURA ED APPLICATA,2020:50.
APA	Dai, Wei,&Qin, Guolin.(2020).Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications.ANNALI DI MATEMATICA PURA ED APPLICATA,50.
MLA	Dai, Wei,et al."Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications".ANNALI DI MATEMATICA PURA ED APPLICATA (2020):50.