Lower bound for the perimeter density at singular points of a minimizing cluster in $\mathbb R^N$
| Autor: | Hirsch, Jonas, Marini, Michele |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. |
| Databáze: | arXiv |
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