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math.DG2025
Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torus
Daniele De Gennaro, Antonia Diana, Andrea Kubin +1
We prove that, in the flat torus and in any dimension, the volume-preserving mean curvature flow and the surface diffusion flow, starting close to a strictly stable criti…
math.DG2024
Uniform Sobolev, interpolation and geometric Calderón-Zygmund inequalities for graph hypersurfaces
Serena Della Corte, Antonia Diana, Carlo Mantegazza
In this note, our aim is to show that families of smooth hypersurfaces of which are all --close enough to a fixed compact, embedded one, have uniformly bound…