Existence and non-existence of solutions of the mean field equations on flat tori

Zhijie Chen; Ting Jung Kuo; Chang Shou Lin

doi:10.1090/proc/13543

Existence and non-existence of solutions of the mean field equations on flat tori

Zhijie Chen, Ting Jung Kuo, Chang Shou Lin

研究成果: Article › 査読

2 被引用数 (Scopus)

抄録

We prove the existence or non-existence of solutions of the mean field equation (1.1) with n = 1 or n = 2 for a rectangular torus E. It is interesting to see that the results depend on the location of the half period (Formula Presented.).

本文言語	English
ページ（範囲）	3989-3996
ページ数	8
ジャーナル	Proceedings of the American Mathematical Society
巻	145
号	9
DOI	https://doi.org/10.1090/proc/13543
出版ステータス	Published - 2017
外部発表	はい

ASJC Scopus subject areas

数学 (全般)
応用数学

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10.1090/proc/13543

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title = "Existence and non-existence of solutions of the mean field equations on flat tori",

abstract = "We prove the existence or non-existence of solutions of the mean field equation (1.1) with n = 1 or n = 2 for a rectangular torus E. It is interesting to see that the results depend on the location of the half period (Formula Presented.).",

author = "Zhijie Chen and Kuo, {Ting Jung} and Lin, {Chang Shou}",

year = "2017",

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AB - We prove the existence or non-existence of solutions of the mean field equation (1.1) with n = 1 or n = 2 for a rectangular torus E. It is interesting to see that the results depend on the location of the half period (Formula Presented.).

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Existence and non-existence of solutions of the mean field equations on flat tori

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