4 papers · 1 filter
A charged liquid drop model with Willmore energy
Michael Goldman, Matteo Novaga, Berardo Ruffini
We consider a variational model of electrified liquid drops, involving competition between surface tension and charge repulsion. Since the natural model happens to be ill-posed, we…
Non-convex functionals penalizing simultaneous oscillations along two independent directions: structure of the defect measure
Michael Goldman, Benoît Merlet
We continue the analysis of a family of energies penalizing oscillations in oblique directions: they apply to functions with and vanish when $…
From energy bounds to dimensional estimates in a branched transport model for type-I superconductors
Guido De Philippis, Michael Goldman, Berardo Ruffini
We consider a branched transport type problem which describes the magnetic flux through type-I superconductors in a regime of very weak applied fields. At the boundary of the sampl…
Plane-like minimizers and differentiability of the stable norm
Antonin Chambolle, Michael Goldman, Matteo Novaga
In this paper we investigate the strict convexity and the differentiability properties of the stable norm, which corresponds to the homogenized surface tension for a periodic perim…