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

Zhijie Chen, Ting Jung Kuo, Chang Shou Lin

Research output: Contribution to journalArticle

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.).

Original languageEnglish
Pages (from-to)3989-3996
Number of pages8
JournalProceedings of the American Mathematical Society
Volume145
Issue number9
DOIs
Publication statusPublished - 2017
Externally publishedYes

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Mean Field Equation
Nonexistence
Torus

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Existence and non-existence of solutions of the mean field equations on flat tori. / Chen, Zhijie; Kuo, Ting Jung; Lin, Chang Shou.

In: Proceedings of the American Mathematical Society, Vol. 145, No. 9, 2017, p. 3989-3996.

Research output: Contribution to journalArticle

Chen, Zhijie ; Kuo, Ting Jung ; Lin, Chang Shou. / Existence and non-existence of solutions of the mean field equations on flat tori. In: Proceedings of the American Mathematical Society. 2017 ; Vol. 145, No. 9. pp. 3989-3996.
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