Yong Huang

collaborators

3 papers

math.MG2020

The Minkowski problem in the Gaussian probability space

Yong Huang, Dongmeng Xi, Yiming Zhao

The Minkowski problem in Gaussian probability space is studied in this paper. In addition to providing an existence result on a Gaussian-volume-normalized version of this problem,…

math.AP2018

Noncompact $L_{p}$ -Minkowski problems

Yong Huang, Jiakun Liu

In this paper we prove the existence of complete, noncompact convex hypersurfaces whose $p$ -curvature function is prescribed on a domain in the unit sphere. This problem is related…

math.AP2018

$L_{p}$ -Brunn-Minkowski inequality for $p \in (1 - \frac{c}{n ^{\frac{3}{2}}}, 1)$

Shibing Chen, Yong Huang, Qi-rui Li +1

Kolesnikov-Milman [9] established a local $L_{p}$ -Brunn-Minkowski inequality for $p \in (1 - c / n^{\frac{3}{2}}, 1) .$ Based on their local uniqueness results for the $L_{p}$ -Minkowski proble…

The Minkowski problem in the Gaussian probability space

Noncompact Lp​-Minkowski problems

Lp​-Brunn-Minkowski inequality for p∈(1−n23​c​,1)

Noncompact $L_{p}$ -Minkowski problems

$L_{p}$ -Brunn-Minkowski inequality for $p \in (1 - \frac{c}{n ^{\frac{3}{2}}}, 1)$