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

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

6 引文斯高帕斯（Scopus）

摘要

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.).

原文	英語
頁（從 - 到）	3989-3996
頁數	8
期刊	Proceedings of the American Mathematical Society
卷	145
發行號	9
DOIs	https://doi.org/10.1090/proc/13543
出版狀態	已發佈 - 2017

ASJC Scopus subject areas

一般數學
應用數學

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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\}",

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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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JO - Proceedings of the American Mathematical Society

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ER -

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

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