3 papers
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…
math.DG2026
Compactness for minimal surfaces with injectivity radius bounded from below
Luan de Figueiredo, Rosivaldo Gonçalves
We prove a compactness theorem for the space of closed embedded minimal surfaces with area bounded from above and injectivity radius bounded from below in a closed Riemannian -m…