Fulin Zhong

collaborators

5 papers

math.CA2026

Endpoint Absolute Monotonicity for the Complete Elliptic Integral of the First Kind

Qintao Deng, Yunjia Kou, Fulin Zhong

Let \begin{equation*} f_p(x)=\frac{\mathcal{K}(\sqrt{x})}{p-\ln\sqrt{1-x}}, \end{equation*} where $K$ denotes the complete elliptic integral of the first kind, and set $g…

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.AP2025

Brouwer degree for Chern-Simons Higgs models on finite graphs

Chunhua Wang, Wenju Wu, Fulin Zhong

Let $G = (V, E)$ be a finite connected graph, where $V$ denotes the set of vertices and $E$ denotes the set of edges. We revisit the following Chern-Simons Higgs model, \begin{equati…

math.AP2025

Existence of periodic solutions for the Grushin critical problem

Wenju Wu, Fulin Zhong

We study a Grushin critical problem in a strip domain which satisfies the periodic boundary conditions. By applying the finite-dimensional reduction method, we construct a periodic…