Rigidity and large volume residues in exterior isoperimetry for convex sets

Nicola Fusco, Francesco Maggi, Massimiliano Morini +1

A comparison theorem by Choe, Ghomi and Ritoré states that the exterior isoperimetric profile $I_{\mathcal{C}}$ of any convex body $\mathcal{C}$ in ${\mathbb{R}}^N$ lies above that of…