2 papers
math.AP2026
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.AP2025
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…