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math.AP2026
A quantitative Robin Pólya--Szegő theorem for tangential polygons
Changfeng Gui, Yeyao Hu, Qinfeng Li +1
We extend the quantitative Dirichlet theorem of Gui, Hu, and Li \cite{GuiHuLi2026} to Robin torsional rigidity. For every fixed , we prove that the regular -gon uniquely ma…
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 .…