3 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.AP2025
Brouwer degree for Chern-Simons Higgs models on finite graphs
Chunhua Wang, Wenju Wu, Fulin Zhong
Let be a finite connected graph, where denotes the set of vertices and 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…