3 citations · 3 across the 5 of their papers we have counts for
5 papers
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.
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…
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 -converge…
Connectedness properties of small minimal clusters in Riemannian or Finsler manifolds
Stefano Nardulli, Aldo Pratelli
We prove that in a compact Riemannian manifold, the -minimal clusters of sufficiently small total volume are connected and with small diameter, while in a more general Finsler m…
On the Steiner property for planar minimizing clusters. The isotropic case
Valentina Franceschi, Aldo Pratelli, Giorgio Stefani
We consider the isoperimetric problem for clusters in the plane with a double density, that is, perimeter and volume depend on two weights. In this paper we consider the isotropic…