Ruofei Yao

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20242026

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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…

math.AP2026

Symmetry properties for positive solutions of mixed boundary value problems in a sub-spherical sector

Ruofei Yao

In this paper, we investigate the symmetry properties of positive solutions $u$ to a semilinear elliptic equation under mixed Dirichlet-Neumann boundary conditions in symmetric dom…

math.AP2025

Monotonicity properties of the Robin torsion function in a class of symmetric planar domains

Qinfeng Li, Juncheng Wei, Ruofei Yao

We prove the monotonicity property of the Robin torsion function in a smooth planar domain $Ω$ with a line of symmetry, provided that the Robin coefficient $β$ is greater than or e…

math.AP2024

On the location of the maximal gradient of the torsion function over some non-symmetric planar domains

Qinfeng Li, Shuangquan Xie, Hang Yang +1

We investigate the location of the maximal gradient of the torsion function on certain non-symmetric planar domains. First, by establishing uniform estimates for convex narrow doma…