Anisotropic Obstacle Problems for Minimal Surfaces: Regularity of the Free Boundary via the Cahn-Hoffman Transform

Ezequiel Barbosa, Rosivaldo Antonio Gonçalves, Luan de Figueiredo

We study an obstacle problem for surfaces minimizing an anisotropic surface energy of ellipsoidal type. Given a convex obstacle and a boundary datum, we seek a surface that minimiz…