Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications
文献类型：期刊论文
| 作者 | Dai, Wei3; Qin, Guolin1,2 |
| 刊名 | ANNALI DI MATEMATICA PURA ED APPLICATA
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000559638400001 |
| 出版者 | SPRINGER HEIDELBERG |
| 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.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Beihang Univ BUAA, Sch Math Sci, Beijing 100083, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。