17 citations · 56 across the 22 of their papers we have counts for
4 papers · 1 filter
A Spectral Characterization Of Geodesic Balls In Non-Compact Rank One Symmetric Spaces
Philippe Castillon, Berardo Ruffini
In constant curvatures spaces, there are a lot of characterizations of geodesic balls as optimal domain for shape optimization problems. Although it is natural to expect similar ch…
On equilibrium shapes of charged flat drops
Cyrill B. Muratov, Matteo Novaga, Berardo Ruffini
Equilibrium shapes of two-dimensional charged, perfectly conducting liquid drops are governed by a geometric variational problem that involves a perimeter term modeling line tensio…
Some results on anisotropic fractional mean curvature flows
Antonin Chambolle, Matteo Novaga, Berardo Ruffini
We show the consistency of a threshold dynamics type algorithm for the anisotropic motion by fractional mean curvature, in the presence of a time dependent forcing term. Beside the…
On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint
Michael Goldman, Matteo Novaga, Berardo Ruffini
We study a variational problem modeling the behavior at equilibrium of charged liquid drops under convexity constraint. After proving well-posedness of the model, we show C 1,1-reg…