Ge Xiong

activity

20142026

most citedA unified treatment for Lp Brunn-Minkowski type inequalities

1 citations · 2 across the 4 of their papers we have counts for

collaborators

5 papers

math.MG2026

The Brunn-Minkowski inequality for the generalized Gaussian distribution

Ge Xiong, Kai-Wen Yang

Let $μ_{p}$ be the generalized Gaussian distribution on $R^{n}$ with density $e^{- \frac{∣ x ∣ ^{p}}{p}}$ multiplied by a constant depending on $p \geq 1$ and $n$ , and $α_{p} (n)$ be the…

math.MG2022

The logarithmic Minkowski inequality for cylinders

Jiangyan Tao, Ge Xiong, Jiawei Xiong

In this paper, we prove that if $K$ is an $o$ -symmetric cylinder and $L$ is an $o$ -symmetric convex body in $R^{3}$ , then the logarithmic Minkowski inequality \[\frac{1}{V(K)…

math.DG2017★ 1 cited

Lp Minkowski problem for electrostatic $p$ -capacity

Du Zou, Ge Xiong

Existence and uniqueness of the solution to the discrete Lp Minkowski problem for $p$ -capacity are proved when $p \geq 1$ and $1 < p < n$ . For general Lp Minkowsk…

math.MG2016★ 1 cited

A unified treatment for Lp Brunn-Minkowski type inequalities

Du Zou, Ge Xiong

A unified approach used to generalize classical Brunn-Minkowski type inequalities to Lp Brunn-Minkowski type inequalities, called the Lp transference principle, is refined in this…

math.MG2014

Orlicz-Legendre Ellipsoids

Du Zou, Ge Xiong

The Orlicz-Legendre ellipsoids, which are in the framework of emerging dual Orlicz Brunn-Minkowski theory, are introduced for the first time. They are in some sense dual to the rec…

The Brunn-Minkowski inequality for the generalized Gaussian distribution

The logarithmic Minkowski inequality for cylinders

Lp Minkowski problem for electrostatic p-capacity

A unified treatment for Lp Brunn-Minkowski type inequalities

Orlicz-Legendre Ellipsoids

Lp Minkowski problem for electrostatic $p$ -capacity