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.

[5] M. Caroccia, R. Cristoferi, L. Dietrich * Equilibria configurations for epitaxial crystal growth with adatoms*

Submitted to Arch. Ration. Mech. Appl.
(pdf - 636Kb)

[4] R. Cristoferi, * Exact solutions for the denoising problem of piecewise constant images in dimension one*

Submitted to Inv. Probl. Imaging **46-4** (2014), 2310-2349.
(pdf - 569Kb)

[3] R. Cristoferi, * On periodic critical points and local minimizers of the Ohta-Kawasaki functional*

Accepted on Nonlin. Anal.
(pdf - 2053Kb)

[2] R. Cristoferi, * A second order local minimality criterion for the triple junction singularity of the Mumford-Shah functional*

To appear on ESAIM: COCV
(pdf - 510Kb)

[1] M. Bonacini, R. Cristoferi, * Local and global minimality results for a nonlocal isoperimetric problem on \mathbb{R}^N*

SIAM Journal on Mathematical Analysis **46-4** (2014), 2310-2349.
(pdf - 555Kb)

Many, many papers... :)