10 citations · 29 across the 32 of their papers we have counts for
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math.AP2023
Optimal (partial) transport to non-convex polygonal domains
Shibing Chen, Yuanyuan Li, Jiakun Liu
In this paper, we investigate optimal (partial) transport problems for which the target is a non-convex polygonal domain in \(\mathbb{R}^2\). For the complete optimal transport pro…
math.AP2023
Global regularity in the Monge-Ampère obstacle problem
Shibing Chen, Jiakun Liu, Xianduo Wang
In this paper, we establish the global estimate for the Monge-Ampère obstacle problem: , where and are positive cont…
math.MG2023
On the planar Gaussian-Minkowski problem
Shibing Chen, Shengnan Hu, Weiru Liu +1
The current work focuses on the Gaussian-Minkowski problem in dimension 2. In particular, we show that if the Gaussian surface area measure is proportional to the spherical Lebesgu…