4 papers · 1 filter
The $\eps-\eps^β$ property for clusters with double density
A. Pratelli, V. Scattaglia
This article is devoted to extend the "$\eps-\eps^β$ property" to the case of clusters in an Euclidean space with a double density.
Particle approximation of nonlocal interaction energies
Davide Carazzato, Aldo Pratelli, Ihsan Topaloglu
We consider Riesz-type nonlocal energies with general interaction kernels and their discretizations related to particle systems. We prove that the discretized energies -converg…
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 an…
Continuity of critical points for 1-dimensional non-local energies
Davide Carazzato, Nicola Fusco, Aldo Pratelli
In this paper we deal with the bounded critical points of a Riesz energy of attractive-repulsive type in dimension 1. Under suitable assumptions on the growth of the kernel in the…