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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 -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
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…