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

doi:10.1007/s11464-016-0514-2

Front. Math. China

2016, Vol. 11

Issue (2) : 309-321 https://doi.org/10.1007/s11464-016-0514-2

RESEARCH ARTICLE

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

Wentian KUANG¹,Yiming LONG^1,^2,^*(

)

1. Chern Institute of Mathematics, Nankai University, Tianjin 300071, China
2. Key Laboratory of Pure Mathematics and Combinatorics of the Ministry of Education, Nankai University, Tianjin 300071, China

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Abstract

We study the charged 3-body problem with the potential function being (-α)-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 π2-antiperiodic function space are exactly defined by the circular motions of this triangular central configuration.

Keywords Charged 3-body problem variational minimizer geometric characterization

Corresponding Author(s): Yiming LONG

Issue Date: 18 April 2016

Cite this article:

Wentian KUANG,Yiming LONG. Geometric characterizations for variational minimizing solutions of charged 3-body problems[J]. Front. Math. China, 2016, 11(2): 309-321.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-016-0514-2
https://academic.hep.com.cn/fmc/EN/Y2016/V11/I2/309

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