3 papers
math.AP2025
Stability for the Surface Diffusion Flow
Antonia Diana, Nicola Fusco, Carlo Mantegazza
We study the global existence and stability of surface diffusion flow (the normal velocity is given by the Laplacian of the mean curvature) of smooth boundaries of subsets of the $…
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…
math.DG2024
Evolution of networks with multiple junctions
Carlo Mantegazza, Matteo Novaga, Alessandra Pluda +1
We consider the motion by curvature of a network of curves in the plane and we discuss existence, uniqueness, singularity formation and asymptotic behavior of the flow.