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arXiv · 2609.13763

Rigidity and stability for the Bogovskii constant

Glen Wheeler
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Abstract

We prove that balls are the unique minimisers of the Bogovskii constant among bounded connected Lipschitz domains in $\mathbb{R}^n$, $n\geq 2$, resolving Open Problem 2 of Gazzola, Grunau and Sperone (arXiv:2608.25861).

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Glen Wheeler. 2026-09-12. Rigidity and stability for the Bogovskii constant. https://arxiv.org/abs/2609.13763

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