19 citations · 71 across the 22 of their papers we have counts for
23 papers
Linear potentials and applications in conformal geometry
Shiguang Ma, Jie Qing
In this paper we derive estimates for linear potentials that hold away from thin subsets. And, inspired by the celebrated work of Huber, we verify that, for a subset that is thin a…
Conformal Bach flow
Jiaqi Chen, Peng Lu, Jie Qing
In this article we introduce conformal Bach flow and establish its well-posedness on closed manifolds. We also obtain its backward uniqueness. To give an attempt to study the long-…
On Huber's type theorems in general dimensions
Shiguang Ma, Jie Qing
In this paper we present some extensions of the celebrated finite point conformal compactification theorem of Huber \cite{Hu57} for complete open surfaces to general dimensions bas…
Compactness of conformally compact Einstein 4-manifolds II
Sun-Yung A. Chang, Yuxin Ge, Jie Qing
In this paper, we establish compactness results of some class of conformally compact Einstein 4-manifolds. In the first part of the paper, we improve the earlier results obtained b…
On -superharmonic functions and some geometric applications
Shiguang Ma, Jie Qing
In this paper we study asymptotic behavior of -superharmonic functions at isolated singularity using the Wolff potential and -capacity estimates in nonlinear potential theory…
Conformal Ricci flow on asymptotically hyperbolic manifolds
Peng Lu, Jie Qing, Yu Zheng
In this article we study the short-time existence of conformal Ricci flow on asymptotically hyperbolic manifolds. We also prove a local Shi's type curvature derivative estimate for…