PreprintarXiv licencearXiv
Rigidity and stability for the Bogovskii constant
Abstract
We prove that balls are the unique minimisers of the Bogovskii constant among bounded connected Lipschitz domains in ℝn, n≥ 2, resolving Open Problem 2 of Gazzola, Grunau and Sperone (arXiv:2608.25861).
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BibTeX
@misc{wheeler2026rigidity,
title = {{Rigidity and stability for the Bogovskii constant}},
author = {Glen Wheeler},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.13763},
eprint = {2609.13763},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.13763},
}
RIS
TY - UNPB
TI - Rigidity and stability for the Bogovskii constant
AU - Glen Wheeler
PY - 2026
DA - 2026/09/12
PB - arXiv
DO - 10.48550/arxiv.2609.13763
UR - https://arxiv.org/abs/2609.13763
AB - We prove that balls are the unique minimisers of the Bogovskii constant among bounded connected Lipschitz domains in ℝ^n, n≥ 2, resolving Open Problem 2 of Gazzola, Grunau and Sperone (arXiv:2608.25861).
ER -