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NCTS Seminar on Differential Geometry
 
13:30 - 15:00, April 13, 2020 (Monday)
C102, Department of Mathematics, NCKU
(成功大學數學系 C102)
Mean Field Equations (III)
Zhi-Huang Ke (National Cheng Kung University)

Abstract:

In order to prove the existence of MFE, we consider some functionals on the Sobolev space of compact Riemannian surfaces. We prove that the minimizer of the functionals determine a weak solution to the MFE. By elliptic regularity, we obtain a strong solution to the MFE.



 

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