My research is focused on the study of (local and nonlocal) variational models that arise in different situations.
In particular, I am interested in problems with a variational nature from Materials Science, Imaging Science and Big Data.
The general goal is to use rigorous mathematical tools to explain how the basic features of a model relate to the experimental observations,
thus helping to understand the phenomenon under investigation and, eventually, validating (or not) the model.
[8] R. Cristoferi, I. Fonseca, A. Hagerty, C. Popovici - A homogenization result in the gradient theory of phase transitions
Submitted
(pdf - 5008Kb)
[7] R. Cristoferi, M. Thorpe - Large data limit for a phase transition model with the p-Laplacian on point clouds
To appear on European J. Appl. Math.
(pdf - 427Kb)
[6] R. Cristoferi - Exact solutions for the denoising problem of piecewise constant images in dimension one
Submitted
(pdf - 569Kb)
[5] R. Cristoferi, I. Fonseca - Piecewise constant reconstruction of damaged color images
To appear on ESAIM: COCV
(pdf - 475Kb) (link to article)
[4] M. Caroccia, R. Cristoferi, L. Dietrich - Equilibria configurations for epitaxial crystal growth with adatoms
Arch. Rat. Mech. Anal. 230-3 (2018), 785-838
(pdf - 636Kb) (link to article)
[3] R. Cristoferi - On periodic critical points and local minimizers of the Ohta-Kawasaki functional
Nonlin. Anal. 168 (2018), 81-109
(pdf - 2053Kb) (link to article)
[2] R. Cristoferi - A second order local minimality criterion for the triple junction singularity of the Mumford-Shah functional
ESAIM: COCV 24-1 (2018), 401-435
(pdf - 510Kb) (link to article)
[1] M. Bonacini, R. Cristoferi - Local and global minimality results for a nonlocal isoperimetric problem on \mathbb{R}^N
SIAM J. Math. Anal. 46-4 (2014), 2310-2349.
(pdf - 555Kb) (link to article)
Many, many papers... :)