Jiahuan Li

collaborators

2 papers

math.AP2026

Strict Concavity of the Torsion Function for the Restricted Half-Laplacian in Bounded Convex Domains

Jiahuan Li, Shujun Shi

Let $D \subset R^{n}$ , $n \geq 2$ , be a bounded convex domain, and let $u_{D}$ be the torsion function for the restricted half-Laplacian. We prove that $D^{2} u_{D}$ is negative definit…

math.AP2026

The Higher-Dimensional Nitsche Conjecture: Sharp Bounds and Rigidity

Bin Deng, Jiahuan Li, Yilu Liu +1

Let $n \geq 3$ and let $h:\A(r,1)\to\A(R,1)\subset\mathbb R^n$ be an onto homeomorphism with harmonic coordinate functions. We prove the sharp Nitsche bound \[ R\le R_{n,+}(r):=\frac{…