5 citations · 10 across the 7 of their papers we have counts for
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math.AP2020★ 3 cited
A Blaschke-Lebesgue Theorem for the Cheeger constant
Antoine Henrot, Ilaria Lucardesi
In this paper we prove a new extremal property of the Reuleaux triangle: it maximizes the Cheeger constant among all bodies of (same) constant width. The proof relies on a fine ana…
math.MG2020
Body of constant width with minimal area in a given annulus
Antoine Henrot, Ilaria Lucardesi
In this paper we address the following shape optimization problem: find the planar domain of least area, among the sets with prescribed constant width and inradius. In the literatu…