37 citations · 115 across the 22 of their papers we have counts for
33 papers
Some remarks on nonexistence in the Gamow liquid drop model
Dario Mazzoleni, Aldo Pratelli, Berardo Ruffini
In this paper we deal with the celebrated Gamow liquid drop model, namely, for , and , we study the problem \[ \min\Big\{P(Ω)+ V_α(Ω) : Ω\subset \mathbb{…
On the approximation of finite perimeter sets
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +2
We prove that if is a set with finite perimeter with , then any set of finite perimeter $E\subseteq\m…
The isoperimetric inequality for the capillary energy outside convex sets
N. Fusco, V. Julin, M. Morini +1
We study the isoperimetric problem for capillary hypersurfaces with a general contact angle , outside arbitrary convex sets. We prove that the capillary energy of any…
On the existence of minimizing sets for a weakly-repulsive non-local energy
Davide Carazzato, Aldo Pratelli, Ihsan Topaloglu
We consider a non-local interaction energy over bounded densities of fixed mass . We prove that under certain regularity assumptions on the interaction kernel these energies adm…
On the existence and boundedness of minimizing measures for a general form of non-local energies
Davide Carazzato, Aldo Pratelli
In this paper we consider a very general form of a non-local energy in integral form, which covers most of the usual ones (for instance, the sum of a positive and a negative power)…
On the Steiner property for planar minimizing clusters. The anisotropic case
Valentina Franceschi, Aldo Pratelli, Giorgio Stefani
In this paper we discuss the Steiner property for minimal clusters in the plane with an anisotropic double density. This means that we consider the classical isoperimetric problem…