Dong Ye

collaborators

5 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

Quantization of blow-up masses for the Finsler $N$ -Liouville equation

Xia Huang, Yuan Li, Dong Ye +1

The quantization results for blow-up phenomena play crucial roles in the analysis of partial differential equations. Here we quantify the blow-up masses to the following Finsler $N…

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

Quantization of blow-up masses for the Finsler N-Liouville equation

On sharp anisotropic Hardy inequalities

Normal conformal metrics with prescribed Q-Curvature in R2n

Quantization of blow-up masses for the Finsler $N$ -Liouville equation

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