2 papers
math.AP2026
On the uniqueness of the critical point of
Junyuan Liu, Shuangjie Peng, Fulin Zhong
We prove that for any bounded convex domain , the function \begin{equation*} Ï_Ω(ξ) = \int_{\mathbb{R}^n\setminusΩ} \frac{\mathrm{d}x}{|x-ξ|^{2n}}, \qu…
math.AP2026
Quantization analysis of Moser-Trudinger equations in the Poincaré disk and applications
Lu Chen, Qiaoqiao Hua, Guozhen Lu +2
In this paper, we first establish the quantitative properties for positive solutions to the Moser-Trudinger equations in the two-dimensional Poincaré disk : \begin{e…