Research interests

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)

In preparation

Many, many papers... :)