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math.DG2026
Anisotropic Parabolic Obstacle Problems and the Stefan Problem: Regularity of the Evolving Free Boundary
Ezequiel Barbosa, Rosivaldo Gonçalves, Luan de Figueiredo
We study a parabolic obstacle problem for surfaces evolving by anisotropic mean curvature flow subject to an obstacle constraint. Given a convex obstacle and initial data, we seek…
math.DG2026
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…