On minimizers of the maximal distance functional for a planar convex closed smooth curve

D. D. Cherkashin, A. S. Gordeev, G. A. Strukov +1

Fix a compact $M\subset {\mathbb{R}}^2$ and $r>0$. A minimizer of the maximal distance functional is a connected set $\Sigma$ of the minimal length, such that \[ max_{y \in M} dist(y,Σ)…