Y. Teplitskaya

activity

20152026

most citedOn regularity of maximal distance minimizers

3 citations · 3 across the 11 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.MG2022

An overview of maximal distance minimizers problem

Danila Cherkashin, Yana Teplitskaya

Consider a compact $M \subset R^{d}$ and $l > 0$ . A maximal distance minimizer problem is to find a connected compact set $Σ$ of the length (one-dimensional Hausdorff measur…

math.MG2022

Inverse maximal and average distance minimizer problems

Mikhail Basok, Danila Cherkashin, Yana Teplitskaya

Consider a compact $M \subset R^{d}$ and $r > 0$ . A maximal distance minimizer problem is to find a connected compact set $Σ$ of the minimal length, such that \[ \max_{y \in…

math.MG2022

On regularity of maximal distance minimizers in Euclidean Space

Alexey Gordeev, Yana Teplitskaya

We study the properties of sets $Σ$ which are the solutions of the maximal distance minimizer problem, i.e. of sets having the minimal length (one-dimensional Hausdorff measure) ov…