1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2019
Global regularity of optimal mappings in non-convex domains
Shibing Chen, Jiakun Liu, Xu-Jia Wang
In this paper, we establish a global regularity result for the optimal transport problem with the quadratic cost, where the domains may not be convex. This result is obtained by a…
math.AP2014
Boundary -regularity in optimal transportation
Shibing Chen, Alessio Figalli
We develop an $\e$-regularity theory at the boundary for a general class of Monge-Ampère type equations arising in optimal transportation. As a corollary we deduce that optimal tra…
math.AP2012★ 1 cited
Remainder terms in the fractional Sobolev inequality
Shibing Chen, Rupert L. Frank, Tobias Weth
We show that the fractional Sobolev inequality for the embedding , can be sharpened by adding a remainder term proportion…