Publications (7)
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…
Non-uniqueness of solutions to the dual -Minkowski problem
Qi-Rui Li, Jiakun Liu, Jian Lu
The dual -Minkowski problem with is investigated in this paper. By proving a new existence result of solutions and constructing an example, we obtain the non-uniquenes…
The chord Minkowski problem for super-critical exponent
Shibing Chen, Qi-Rui Li, Yuanyuan Li
The chord Minkowski problem was recently introduced by Lutwak, Xi, Yang and Zhang, which seeks to determine the necessary and sufficient conditions for a given finite Borel m…
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)…
A flow approach to the Musielak-Orlicz-Gauss image problem
Qi-Rui Li, Weimin Sheng, Deping Ye +1
In this paper, the extended Musielak-Orlicz-Gauss image problem is studied. Such a problem aims to characterize the Musielak-Orlicz-Gauss image measure $\widetilde{C}_{G,Ψ,λ}(Ω,…
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…
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 t…