Geometric characterizations for variational minimizing solutions of charged 3-body problems

被引：0
|
作者：
Kuang, Wentian [1 ]
Long, Yiming [1 ,2 ]
机构：
[1] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
[2] Nankai Univ, Key Lab Pure Math & Combinator, Minist Educ, Tianjin 300071, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2016年 / 11卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Charged 3-body problem; variational minimizer; geometric characterization; PERIODIC-SOLUTIONS;
D O I：
10.1007/s11464-016-0514-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the charged 3-body problem with the potential function being (-alpha)-homogeneous on the mutual distances of any two particles via the variational method and try to find the geometric characterizations of the minimizers. We prove that if the charged 3-body problem admits a triangular central configuration, then the variational minimizing solutions of the problem in the -antiperiodic function space are exactly defined by the circular motions of this triangular central configuration.
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页码：309 / 321
页数：13
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