Xiaojuan Chen

collaborators

4 papers

math.MG2026

$L_{p}$ Brunn-Minkowski inequality for weighted dual quermassintegrals

Xiaojuan Chen, Shengyu Tang, Sinan Wang

We investigate the $L_{p}$ Brunn-Minkowski inequality for dual quermassintegrals in weighted measure spaces, which is a special class of rotationally invariant measures proposed by C…

math.AP2026

$L_{p}$ Minkowski problem and Brunn-Minkowski inequality for dual quermassintegrals

Xiaojuan Chen, Shengyu Tang, Sinan Wang

This paper studies the core problems in the $L_{p}$ dual Brunn-Minkowski theory, encompassing the $L_{p}$ Minkowski problem and $L_{p}$ Brunn-Minkowski inequality for dual quermassintegr…

math.AP2025

Second order estimates for $I ¨ $ -semi convex solutions of Hessian equations on Hermitian manifolds

Xiaojuan Chen, Qiang Tu, Ni Xiang

In this paper, we establish the modified concavity inequality for complex Hessian equations under the semi-convexity assumption inspired by Lu \cite{Lu23} and Zhang \cite{Z24} for…

math.AP2025

The $L_{p}$ -dual Christoffel-Minkowski problem for the case $p \geq q$

Xiaojuan Chen, Qiang Tu, Ni Xiang

In this paper, we consider a class of Hessian equations associated to the $L_{p}$ -dual Christoffel-Minkowski problem for the case $p \geq q$ . By combining the tools of constant rank t…

Lp​ Brunn-Minkowski inequality for weighted dual quermassintegrals

Lp​ Minkowski problem and Brunn-Minkowski inequality for dual quermassintegrals

Second order estimates for I¨-semi convex solutions of Hessian equations on Hermitian manifolds

The Lp​-dual Christoffel-Minkowski problem for the case p≥q

$L_{p}$ Brunn-Minkowski inequality for weighted dual quermassintegrals

$L_{p}$ Minkowski problem and Brunn-Minkowski inequality for dual quermassintegrals

Second order estimates for $I ¨ $ -semi convex solutions of Hessian equations on Hermitian manifolds

The $L_{p}$ -dual Christoffel-Minkowski problem for the case $p \geq q$