A Vertex-Skipping property for almost-minimizers of the relative perimeter in convex sets
Gian Paolo Leonardi, Giacomo Vianello
公開日: 2024/1/26
Abstract
Given a convex domain $\Omega\subset \mathbb{R}^{3}$ and an almost-minimizer $E$ of the relative perimeter in $\Omega$, we prove that the closure of $\partial E \cap \Omega$ does not contain vertices of $\Omega$.