Preprint
Oct 2026
A quantitative Robin P\'olya--Szeg\H{o} theorem for tangential polygons
We extend the quantitative Dirichlet theorem of Gui, Hu, and Li \cite{GuiHuLi2026} to Robin torsional rigidity. For every fixed $\beta>0$, we prove that the regular $N$-gon uniquely maximizes Robin torsional rigidity among tangential $N$-gons of prescribed area. Our explicit perimeter deficit bound contains the Dirichl...
Chang-Feng Gui, Ye-Yao Hu, Qin-Feng Li et al.
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