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

doi:10.1007/s10231-020-01027-9

CSpace

	Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications
	Dai, Wei 1; Qin, Guolin 2,3
	2020-08-11
发表期刊	ANNALI DI MATEMATICA PURA ED APPLICATA
ISSN	0373-3114
页码	50
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.
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
DOI	10.1007/s10231-020-01027-9
收录类别	SCI
语种	英语
资助项目	NNSF of China[11971049] ; Fundamental Research Funds for the Central Universities
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000559638400001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51983
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.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, 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.