A Vertex-Skipping property for almost-minimizers of the relative perimeter in convex sets
- Resource Type
- Working Paper
- Authors
- Leonardi, Gian Paolo; Vianello, Giacomo
- Source
- Subject
- Mathematics - Optimization and Control
49Q05, 49Q10
- Language
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 $\Omega$.