38 citations · 80 across the 7 of their papers we have counts for
7 papers
Rigidity and compactness with constant mean curvature in warped product manifolds
Francesco Maggi, Mario Santilli
We prove the rigidity of rectifiable boundaries with constant distributional mean curvature in the Brendle class of warped product manifolds (which includes important models in Gen…
Rigidity theorems for best Sobolev inequalities
Francesco Maggi, Robin Neumayer, Ignacio Tomasetti
For , , the "best -Sobolev inequality" on an open set is identified with a family of variational problems with critical volume a…
Isoperimetric residues and a mesoscale flatness criterion for hypersurfaces with bounded mean curvature
Francesco Maggi, Michael Novack
We obtain a full resolution result for minimizers in the exterior isoperimetric problem with respect to a compact obstacle in the large volume regime . This is achieved…
Uniform stability in the Euclidean isoperimetric problem for the Allen--Cahn energy
Francesco Maggi, Daniel Restrepo
We consider the isoperimetric problem defined on the whole by the Allen--Cahn energy functional. For non-degenerate double well potentials, we prove sharp quantitati…
Alexandrov's theorem revisited
M. G. Delgadino, F. Maggi
We show that among sets of finite perimeter balls are the only volume-constrained critical points of the perimeter functional.
Bubbling with -almost constant mean curvature and an Alexandrov-type theorem for crystals
M. G. Delgadino, F. Maggi, C. Mihaila +1
A compactness theorem for volume-constrained almost-critical points of elliptic integrands is proven. The result is new even for the area functional, as almost-criticality is measu…
Regularity of free boundaries in anisotropic capillarity problems and the validity of Young's law
Guido De Philippis, Francesco Maggi
Local volume-constrained minimizers in anisotropic capillarity problems develop free boundaries on the walls of their containers. We prove the regularity of the free boundary outsi…