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.
