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math.DG2017★ 11 cited
Constant scalar curvature equation and the regularity of its weak solution
Weiyong He, Yu Zeng
In this paper we study constant scalar curvature equation (CSCK), a nonlinear fourth order elliptic equation, and its weak solutions on Kähler manifolds. We first define a notion o…
math.DG2017★ 3 cited
The Calabi flow with rough initial data
Weiyong He, Yu Zeng
In this paper, we prove that there exists a dimensional constant such that given any background Kähler metric , the Calabi flow with initial data satisfying \begin{…