Stability of reverse isoperimetric inequalities in the plane: area, Cheeger, and inradius
In this paper, we present sharp stability results for various reverse isoperimetric problems in
$\mathbb R^ 2$. Specifically, we prove the stability of the reverse isoperimetric inequality for …
$\mathbb R^ 2$. Specifically, we prove the stability of the reverse isoperimetric inequality for …
Reverse isoperimetric problems under curvature constraints
In this paper we solve several reverse isoperimetric problems in the class of $\lambda $-
convex bodies, ie, convex bodies whose curvature at each point of their boundary is …
convex bodies, ie, convex bodies whose curvature at each point of their boundary is …
Stability of convex disks
H Stufflebeam - Calculus of Variations and Partial Differential …, 2023 - Springer
We prove that topological disks with positive curvature and strictly convex boundary of large
length are close to round spherical caps of constant boundary curvature in the Gromov …
length are close to round spherical caps of constant boundary curvature in the Gromov …