Calculus of Variations and Geometric Measure Theory

G. P. Leonardi - G. Vianello

A Vertex-Skipping property for almost-minimizers of the relative perimeter in convex sets

created by vianello on 13 Feb 2024



Inserted: 13 feb 2024
Last Updated: 13 feb 2024

Year: 2024

ArXiv: 2401.14725 PDF


Given a convex domain Ω ⊂ R3 and an almost-minimizer E of the relative perimeter in Ω, we prove that the closure of ∂E ∩ Ω does not contain vertices of Ω.