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: 雜誌貢獻文章

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
145
發行號9
DOIs
出版狀態已發佈 - 2017 一月 1

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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