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A quantitative Robin Pólya--Szegő theorem for tangential polygons

Gui, Changfeng et al.
arXiv (All) · Papers
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analysis-of-pdes
We extend the quantitative Dirichlet theorem of Gui, Hu, and Li \cite{GuiHuLi2026} to Robin torsional rigidity. For every fixed $β>0$, we prove that the regular $N$-gon uniquely maximizes Robin torsional rigidity among tangential $N$-gons of prescribed area. Our explicit perimeter deficit bound cont
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