On the uniqueness of the critical point of $\ddot{I}{ˆ}_{\hat{I}}\text{c◯}$

Junyuan Liu, Shuangjie Peng, Fulin Zhong

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