1 citations · 1 across the 6 of their papers we have counts for
8 papers
Optimal constant for the trace inequality in for domains with corners
Riccardo Cristoferi, Devin van der Gulik
We determine the explicit value of the optimal constant in the trace inequality for functions of bounded variations in the case the domain has a particular class of singularities.
Low regularity potentials in heterogeneous Cahn--Hilliard functionals
Riccardo Cristoferi, Jakob Deutsch, Luca Pignatelli
In this paper, we study the prototypical model of liquid-liquid phase separation, the Cahn-Hilliard functional, in a highly irregular setting. Specifically, we analyze potentials w…
Phase separation in multiply periodic materials with fine microstructures
Riccardo Cristoferi, Luca Pignatelli
We study a Cahn-Hilliard model for phase separation in composite materials with multiple periodic microstructures. These are modeled by considering a highly oscillating potential.…
First-order homogenization
Riccardo Cristoferi, Lorenza D'Elia
We provide a first-order homogenization result for quadratic functionals. In particular, we identify the scaling of the energy and the explicit form of the limiting functional in t…
Large data limit for a phase transition model with the p-Laplacian on point clouds
Riccardo Cristoferi, Matthew Thorpe
The consistency of a nonlocal anisotropic Ginzburg-Landau type functional for data classification and clustering is studied. The Ginzburg-Landau objective functional combines a dou…
Exact solutions for the denoising problem of piecewise constant images in dimension one
Riccardo Cristoferi
In this paper we propose a method to determine explicitly the solution of the total variation denoising problem with an fidelity term, where , for piecewise constant ini…
A second order local minimality criterion for the triple junction singularity of the Mumford-Shah functional
Riccardo Cristoferi
This paper is the first part of an ongoing project aimed at providing a local minimality criterion, based on a second variation approach, for the triple point configurations of the…
On periodic critical points and local minimizers of the Ohta-Kawasaki functional
Riccardo Cristoferi
In this paper we collect some new observations about periodic critical points and local minimizers of a nonlocal isoperimetric problem, arising in the modeling of diblock copolymer…