Direct Methods for Pseudo-relativistic Schrodinger Operators | |
Dai, Wei1; Qin, Guolin3,4; Wu, Dan2 | |
刊名 | JOURNAL OF GEOMETRIC ANALYSIS |
2020-08-08 | |
页码 | 64 |
关键词 | Pseudo-relativistic Schrodinger operators Epigraph 3D boson star equations Direct methods of moving planes Direct sliding methods |
ISSN号 | 1050-6926 |
DOI | 10.1007/s12220-020-00492-1 |
英文摘要 | In this paper, we establish various maximal principles and develop the direct moving planes and sliding methods for equations involving the physically interesting (nonlocal) pseudo-relativistic Schrodinger operators (-Delta + m(2))(s) with s is an element of (0, 1) and mass m > 0. As a consequence, we also derivemultiple applications of these direct methods. For instance, we prove monotonicity, symmetry and uniqueness results for solutions to various equations involving the operators (-Delta + m(2))s in bounded or unbounded domains with certain geometrical structures (e.g., coercive epigraph and epigraph), including pseudo-relativistic Schrodinger equations, 3D boson star equations and the equations with De Giorgi-type nonlinearities. When m = 0 and s = 1, equations with De Giorgi-type nonlinearities are related to De Giorgi conjecture connected with minimal surfaces and the scalar Ginzburg-Landau functional associated to harmonic map. |
资助项目 | NNSF of China[11971049] ; Fundamental Research Funds for the Central Universities ; NSFC[11901183] ; NSF of Hunan Province[2017JJ3028] ; Young Teachers Program of Hunan University[531118040104] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | SPRINGER |
WOS记录号 | WOS:000557344300002 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51952] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Wu, Dan |
作者单位 | 1.Beihang Univ BUAA, Sch Math Sci, Beijing 100083, Peoples R China 2.Hunan Univ, Coll Math, Changsha 410082, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Dai, Wei,Qin, Guolin,Wu, Dan. Direct Methods for Pseudo-relativistic Schrodinger Operators[J]. JOURNAL OF GEOMETRIC ANALYSIS,2020:64. |
APA | Dai, Wei,Qin, Guolin,&Wu, Dan.(2020).Direct Methods for Pseudo-relativistic Schrodinger Operators.JOURNAL OF GEOMETRIC ANALYSIS,64. |
MLA | Dai, Wei,et al."Direct Methods for Pseudo-relativistic Schrodinger Operators".JOURNAL OF GEOMETRIC ANALYSIS (2020):64. |
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