6 papers · 1 filter
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 . For every fixed integer , let…
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.…
Quantization of blow-up masses for the Finsler -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…
Normal conformal metrics with prescribed -Curvature in
Xia Huang, Dong Ye, Feng Zhou
We consider the -curvature equation \begin{equation}\label{0.1} (-Δ)^n u = K(x)e^{2nu}\quad\text{in} ~\mathbb{R}^{2n} \ (n \geq 2) \end{equation} where is a given non consta…
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 , , , , then there exis…
Higher order Hardy-Rellich identities
Xia Huang, Dong Ye
In this paper, we show Hardy-Rellich identities for polyharmonic operators and radial Laplacian in with Hardy-Hénon weight for all $m, n\in \ma…