Qinfeng Li

activity

20192026

most citedOn Laplacian eigenvalue equation with constant Neumann boundary data

3 citations · 7 across the 15 of their papers we have counts for

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4 papers · 1 filter

math.AP2026

A Quantitative Pólya--Szegő Theorem for Tangential Polygons

Changfeng Gui, Yeyao Hu, Qinfeng Li

For a bounded Lipschitz domain $Ω \subset R^{2}$ , let $T (Ω) = \int_{Ω} u_{Ω} d x$ denote its torsional rigidity, where $- Δ u_{Ω} = 1$ in $Ω$ and $u_{Ω} = 0$ on $\partial Ω$ . We prove a quantit…

math.AP2026

Serrin's Problem under Dirichlet Perturbations: Geometric Compactness and Sharp Planar Stability

Qinfeng Li, Weihong Xie, Hang Yang

In earlier work [21], we posed a stability question for Serrin's overdetermined problem under Dirichlet perturbations and proved that the answer is negative in dimensions $n \geq 3$ .…

math.AP2026

Mixed Torsion on Right Triangles and the Pólya--Szegő Monotonicity Problem for Regular Polygons

Changfeng Gui, Yeyao Hu, Qinfeng Li +1

Motivated by the polygonal Pólya--Szegő conjecture for torsional rigidity, we study two monotonicity problems for torsional rigidity. The first concerns a mixed torsion problem on…

math.AP2026

Global Strict Monotonicity and Asymptotics of the First Steklov Eigenvalue for Regular Polygons

Zhuo Cheng, Changfeng Gui, Yeyao Hu +2

For a bounded Lipschitz planar domain $Ω$ , let $σ_{1} (Ω)$ denote its first nonzero Steklov eigenvalue. Let $Ω_{N}$ be the regular $N$ -gon normalized to have perimeter $2 π$ . We prove th…