Shibing Chen

activity

20102026

most citedGlobal regularity for the Monge-Ampère equation with natural boundary condition

10 citations · 29 across the 32 of their papers we have counts for

collaborators

Showing 2025 · math.APShow all

3 papers · 2 filters

math.AP2025

The $L_{p}$ chord Minkowski problem for super-critical exponent

Shibing Chen, Qi-Rui Li, Yuanyuan Li

The $L_{p}$ 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…

math.AP2025

Compactness of the $L_{p}$ dual Minkowski problem in $R^{3}$

Karoly J. Boroczky, Shibing Chen, Weiru Liu +1

We prove the $C^{0}$ estimate for the $L_{p}$ $q$ th dual Minkowski problem on $S^{2}$ under fairly general conditions; namely, when $p$ lies in [0,1) and $q > 2 + p$ , and the $L_{p}$ $q$ th dua…

math.AP2025

Uniqueness in the near isotropic Lp dual Minkowski problem

Karoly J. Boroczky, Shibing Chen, Weiru Liu +1

For n>1 and -1<p<1, we prove that if q is close to n and the qth Lp dual curvature is Holder close to be the constant one function, then this "near isotropic" qth Lp dual Minkowski…

The Lp​ chord Minkowski problem for super-critical exponent

Compactness of the Lp​ dual Minkowski problem in R3

Uniqueness in the near isotropic Lp dual Minkowski problem

The $L_{p}$ chord Minkowski problem for super-critical exponent

Compactness of the $L_{p}$ dual Minkowski problem in $R^{3}$