10 citations · 29 across the 32 of their papers we have counts for
4 papers · 1 filter
Regularity of singular set in optimal transportation
Shibing Chen, Jiakun Liu
In this paper, we establish a regularity theory for the optimal transport problem when the target is composed of two disjoint convex domains. This is an important model in which si…
A note on the singular set of the no-sign obstacle problem
Shibing Chen, Yibin Feng, Yuanyuan Li
In this note, we prove the uniqueness of blowups at singular points of the no-sign obstacle problem thus give a positive ans…
Uniqueness of solutions to the logarithmic Minkowski problem in
Shibing Chen, Yibin Feng, Weiru Liu
In this paper, we prove the uniqueness of solutions to the logarithmic Minkowski problem in without symmetry condition, provided the density of the measure is close…
Mean Curvature Rigidity and Non-rigidity Results on Spherical Caps
Shibing Chen, Xiang Ma, Shengyang Wang
We prove that a hemisphere in the Euclidean space , viewed as the graph of a function, admits no smooth perturbations as graphs with mean curvature whose boundary…