Lujun Guo

collaborators

3 papers

math.FA2024

The Lp Polar bodies of shadow system and related inequalities

Lujun Guo, Hanxiao Wang

The $L_{p}$ versions of the support function and polar body are introduced by Berndtsson, Mastrantonis and Rubinstein in \cite{Berndtsson-Mastrantonis-Rubinstein-2023} recently. In t…

math.AP2023

Gradient estimates for positive weak solution to $Δ_{p} u + a u^{σ} = 0$ on Riemannian manifolds

Guangyue Huang, Qi Guo, Lujun Guo

In this paper, we study gradient estimates for positive weak solutions to the following $p$ -Laplacian equation $Δ_{p} u + a u^{σ} = 0$ on a Riemannian manifold, where $p > 1$ and $a, σ$ are t…

math.MG2023

The $L_{p}$ Chord Minkowski problem in a critical interval

Lujun Guo, Dongmeng Xi, Yiming Zhao

Chord measures and $L_{p}$ chord measures were recently introduced by Lutwak-Xi-Yang-Zhang by establishing a variational formula regarding a family of fundamental integral geometric…

The Lp Polar bodies of shadow system and related inequalities

Gradient estimates for positive weak solution to Δp​u+auσ=0 on Riemannian manifolds

The Lp​ Chord Minkowski problem in a critical interval

Gradient estimates for positive weak solution to $Δ_{p} u + a u^{σ} = 0$ on Riemannian manifolds

The $L_{p}$ Chord Minkowski problem in a critical interval