Year: 2026
Type: preprint
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).
Source: arXiv (Cornell University)
Author: Wheeler, Glen
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213359386