2 papers
math.DG2025
Variational properties of the total inverse mean curvature in the plane under boundary constraints
Julián Pozuelo, Simone Verzellesi, Giacomo Vianello
We study the variational behavior of the total inverse mean curvature of curves with prescribed boundary in the half-plane. We characterize the existence of critical points with pr…
math.OC2024
A Vertex-Skipping property for almost-minimizers of the relative perimeter in convex sets
Gian Paolo Leonardi, Giacomo Vianello
Given a convex domain and an almost-minimizer of the relative perimeter in , we prove that the closure of does not contain v…