Ground states of pseudo-relativistic boson stars under the critical stellar mass
Guo, Yujin2; Zeng, Xiaoyu1
刊名ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
2017-11-01
卷号34期号:6页码:1611-1632
关键词Ground States Boson Stars Mass Concentration Critical Mass
DOI10.1016/j.anihpc.2017.04.001
文献子类Article
英文摘要We consider ground states of pseudo-relativistic boson stars with a self-interacting potential K(x) in R-3, which can be described by minimizers of the pseudo-relativistic Hartree energy functional. Under some assumptions on K (x), minimizers exist if the stellar mass N satisfies 0 < N < N*, and there is no minimizer if N > N*, where N* is called the critical stellar mass. In contrast to the case of the Coulomb-type potential where K(x) 1, we prove that the existence of minimizers may occur at N = N*, depending on the local profile of K(x) near the origin. When there is no minimizer at N = N*, we also present a detailed analysis of the behavior of minimizers as N approaches N* from below, for which the stellar mass concentrates at a unique point. (C) 2017 Elsevier Masson SAS. All rights reserved.
WOS关键词ATTRACTIVE INTERACTIONS ; HARTREE-EQUATIONS ; UNIQUENESS ; DYNAMICS ; COLLAPSE ; LIMIT
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000414113500009
资助机构National Natural Science Foundation of China(11322104 ; National Natural Science Foundation of China(11322104 ; 11671394 ; 11671394 ; 11501555) ; 11501555) ; National Natural Science Foundation of China(11322104 ; National Natural Science Foundation of China(11322104 ; 11671394 ; 11671394 ; 11501555) ; 11501555)
内容类型期刊论文
源URL[http://ir.wipm.ac.cn/handle/112942/11538]  
专题武汉物理与数学研究所_数学物理与应用研究部
作者单位1.Wuhan Univ Technol, Dept Math, Wuhan 430070, Hubei, Peoples R China
2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China
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GB/T 7714
Guo, Yujin,Zeng, Xiaoyu. Ground states of pseudo-relativistic boson stars under the critical stellar mass[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,2017,34(6):1611-1632.
APA Guo, Yujin,&Zeng, Xiaoyu.(2017).Ground states of pseudo-relativistic boson stars under the critical stellar mass.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,34(6),1611-1632.
MLA Guo, Yujin,et al."Ground states of pseudo-relativistic boson stars under the critical stellar mass".ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 34.6(2017):1611-1632.
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