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math.DG2023
Rigidity and large volume residues in exterior isoperimetry for convex sets
Nicola Fusco, Francesco Maggi, Massimiliano Morini +1
A comparison theorem by Choe, Ghomi and Ritoré states that the exterior isoperimetric profile of any convex body in lies above that of…
math.AP2023★ 2 cited
A remark on a conjecture on the symmetric Gaussian Problem
Nicola Fusco, Domenico Angelo La Manna
In this paper we study the functional given by the integral of the mean curvature of a convex set with Gaussian weight with Gaussian volume constraint. It was conjectured that the…
math.AP2023
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 $…