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... :)