Shuangjie Peng

collaborators

3 papers

math.AP2026

Quantitative analysis of ground states for the fractional logarithmic Schrödinger equation

Xiaoming An, Shuangjie Peng, Fulin Zhong

Let $N \geq 1$ and $0 < s < 1$ . We study positive ground states of the fractional logarithmic Schrödinger equation \begin{equation*} (-Δ)^sQ=Q\log Q \quad\text{in }\mathbb{R}^N. \end{equ…

math.AP2026

On the uniqueness of the critical point of $ψ_{Ω}$

Junyuan Liu, Shuangjie Peng, Fulin Zhong

We prove that for any bounded convex domain $Ω \subset R^{n}$ , the function \begin{equation*} ψ_Ω(ξ) = \int_{\mathbb{R}^n\setminusΩ} \frac{\mathrm{d}x}{|x-ξ|^{2n}}, \quad ξ\i…

math.AP2024

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 equation in the two-dimensional Poincaré disk $B^{2}$ : \begin{equ…

Quantitative analysis of ground states for the fractional logarithmic Schrödinger equation

On the uniqueness of the critical point of ψΩ​

Quantization analysis of Moser-Trudinger equations in the Poincaré disk and applications

On the uniqueness of the critical point of $ψ_{Ω}$