18 citations · 42 across the 9 of their papers we have counts for
5 papers · 1 filter
Optimal transport to non-convex polyhedral domains
Shibing Chen, Qi-Rui Li, Yuanyuan Li +2
We study optimal transport with a non-convex polyhedral target in . The closure of the singular set is locally a smooth hypersurface outside a relatively closed set o…
The -Minkowski problem with super-critical exponents
Qiang Guang, Qi-Rui Li, Xu-Jia Wang
The -Minkowski problem deals with the existence of closed convex hypersurfaces in with prescribed -area measures. It extends the classical Minkowski prob…
The Christoffel problem by fundamental solution of the Laplace equation
Qi-Rui Li, Dongrui Wan, Xu-Jia Wang
The Christoffel problem is equivalent to the existence of convex solutions to the Laplace equation on the unit sphere . Necessary and sufficient conditions have been found by…
Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems
Qi-Rui Li, Weimin Sheng, Xu-Jia Wang
In this paper we study a contracting flow of closed, convex hypersurfaces in the Euclidean space with speed , where is the Gauss curvature, is th…
Regularity in Monge's mass transfer problem
Qi-Rui Li, Filippo Santambrogio, Xu-Jian Wang
In this paper, we study the regularity of optimal mappings in Monge's mass transfer problem. Using the approximation to Monge's cost function given by the Euclidean distance c(x,y)…