1 citations · 1 across the 5 of their papers we have counts for
10 papers
Minimizing cones for fractional capillarity problems
Serena Dipierro, Francesco Maggi, Enrico Valdinoci
We consider a fractional version of Gauss capillarity energy. A suitable extension problem is introduced to derive a boundary monotonicity formula for local minimizers of this frac…
Symmetry and Rigidity of Minimal Surfaces with Plateau-like Singularities
Jacob Bernstein, Francesco Maggi
By employing the method of moving planes in a novel way we extend some classical symmetry and rigidity results for smooth minimal surfaces to surfaces that have singularities of th…
Soap films with gravity and almost-minimal surfaces
Francesco Maggi, Antonello Scardicchio, Salvatore Stuvard
Motivated by the study of the equilibrium equations for a soap film hanging from a wire frame, we prove a compactness theorem for surfaces with asymptotically vanishing mean curvat…
Capillarity problems with nonlocal surface tension energies
Francesco Maggi, Enrico Valdinoci
We explore the possibility of modifying the classical Gauss free energy functional used in capillarity theory by considering surface tension energies of nonlocal type. The correspo…
Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters
Maria Colombo, Francesco Maggi
The existence of minimizers in the fractional isoperimetric problem with multiple volume constraints is proved, together with a partial regularity result.
Stability for the Brunn-Minkowski and Riesz rearrangement inequalities, with applications to Gaussian concentration and finite range non-local isoperimetry
Eric A. Carlen, Francesco Maggi
We provide a simple, general argument to obtain improvements of concentration-type inequalities starting from improvements of their corresponding isoperimetric-type inequalities. W…