Lower bound for the perimeter density at singular points of a minimizing cluster in $\mathbb R^N$
Analysis of PDEs
2018-01-30 v1
Abstract
In this paper we study the blow-ups of the singular points in the boundary of a minimizing cluster lying in the interface of more than two chambers. We establish a sharp lower bound for the perimeter density at those points and we prove that this bound is rigid, namely having the lowest possible density completely characterizes the blow-up.
Cite
@article{arxiv.1801.09298,
title = {Lower bound for the perimeter density at singular points of a minimizing cluster in $\mathbb R^N$},
author = {Jonas Hirsch and Michele Marini},
journal= {arXiv preprint arXiv:1801.09298},
year = {2018}
}