27 citations · 56 across the 5 of their papers we have counts for
5 papers
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…
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{…
Deformations from a given Kähler metric to a twisted cscK metric
Yu Zeng
In this paper, we proved the openness at t =0 of the new continuity path recently introduced by X. Chen.
On deformation of extremal metrics
Xiuxiong Chen, Mihai Paun, Yu Zeng
We generalize the bifurcation technique of Bando-Mabuchi in the context of extremal metrics.
Removable singularities of the CscK metric
Yu Zeng
In this paper, we consider a CscK metric defined away from divisor and with metric upper bound and lower bound going to zero in certain rate. And we'll prove that this "nicely" beh…