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.

引用

页码：309 / 321

页数：13

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