Xia Huang

collaborators

4 papers

math.AP2026

Asymptotically sharp Hardy-Rellich inequalities on lattices

Xia Huang, Dong Ye

We determine the sharp asymptotic behavior of the optimal constants in the discrete Hardy-Rellich inequalities on the lattice $Z^{d}$ . For every fixed integer $m \geq 1$ , let…

math.AP2025

On Sharp Heisenberg Uncertainty Principle and the stability

Xia Huang, Dong Ye

In this work, we summarize the linearization method to study the Heisenberg Uncertainty Principles, and explain that the same approach can be used to handle the stability problem.…

math.AP2025

On sharp anisotropic Hardy inequalities

Xia Huang, Dong Ye

Recently, Yanyan Li and Xukai Yan showed the following interesting Hardy inequalities with anisotropic weights: Let $n \geq 2$ , $p \geq 1$ , $p I^\pm > 1 - n$ , $p (I^\pm + I^^{2}) > - n$ , then there e…

math.AP2025

Normal conformal metrics with prescribed $Q$ -Curvature in $R^{2 n}$

Xia Huang, Dong Ye, Feng Zhou

We consider the $Q$ -curvature equation \begin{equation}\label{0.1} (-Î)^n u = K(x)e^{2nu}\quad\text{in} ~\mathbb{R}^{2n} \ (n \geq 2) \end{equation} where $K$ is a given non const…

Asymptotically sharp Hardy-Rellich inequalities on lattices

On Sharp Heisenberg Uncertainty Principle and the stability

On sharp anisotropic Hardy inequalities

Normal conformal metrics with prescribed Q-Curvature in R2n

Normal conformal metrics with prescribed $Q$ -Curvature in $R^{2 n}$