38 citations · 80 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
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…