Here you can find the articles of my research, in order of completion.
All manuscripts are available for free.
Note that, for some of them, the pdf version has typos corrected and improvements implemented.
If you find any mistake, have questions about them, or want to discuss, please feel free to contact me.
[26] R. Cristoferi, L. Pignatelli - Phase separation in multiply periodic materials with fine microstructures
Submitted (2025)
(pdf)
(ArXiv)
[25] R. Cristoferi, L. D'Elia - First-order homogenization
Submitted (2025)
(pdf)
(ArXiv)
[24] R. Cristoferi, G. Fissore, M. Morandotti - Geometrically constrained walls in three dimensions
Submitted (2025)
(pdf)
(ArXiv)
[23] R. Cristoferi, R. Ferreira, I. Fonseca, J. A. Iglesias - Monotonicity of the jump set and jump amplitudes in one-dimensional TV denoising
Submitted (2025)
(pdf)
(ArXiv)
[22] M. Bonacini, R. Cristoferi, I. Topaloglu - A stability inequality for the planar lens partition
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, 1-34 (2025)- Open Access
(pdf)
(ArXiv)
(link to article)
[21] R. Cristoferi, G. Fissore - Two dimensional graph model for epitaxial crystal growth with adatoms
Advances in Calculus of Variations (2025) - Open access
(pdf)
(ArXiv)
(link to article)
[20] R. Cristoferi, M.G. Mora, L. Scardia - Shape optimisation for nonlocal anisotropic energies
Communications in Partial Differential Equations, 49-9, pp. 780-804 (2024)
(pdf)
(ArXiv)
(link to article)
[19] R. Cristoferi, I. Fonseca, L. Ganedi - Homogenization and phase separation with fixed wells - The supercritical case
Accepted on SIAM J. Math. Anal. (2025)
(pdf)
(ArXiv)
[18] M. Bonacini, R. Cristoferi, I. Topaloglu - Stability of the ball for attractive-repulsive energies
SIAM J. Math. Anal., 56-1, p.588-615 (2024)
(pdf)
(ArXiv)
(link to article)
[17] R. Cristoferi, I. Fonseca, L. Ganedi - Homogenization and phase separation with space dependent wells - The subcritical case
Arch. Rational Mech. Anal. 247 - Article number: 94 (2023) - Open access
(pdf)
(ArXiv)
(link to article)
[16] M. Bonacini, R. Cristoferi - Area quasi-minimizing partitions with a graphical constraint: relaxation and two-dimensional partial regularity
Journal of Nonlinear Science, 32, Article Number: 93 (2022) - Open Access
(pdf - extended version)
(ArXiv)
(link to article)
[15] R. Cristoferi, I. Fonseca, R. Venkatraman - Phase separation in heterogeneous media
Special AWM series volume Research in the Mathematics of Materials Science, 31 (2022), pp 367-382
(pdf)
(link to article)
[14] M. Bonacini, R. Cristoferi, I. Topaloglu - Riesz-type inequalities and overdetermined problems for triangles and quadrilaterals
The Journal of Geometric Analysis, 32, Article number: 48 (2022)
(pdf)
(ArXiv)
(link to article)
[13] D. Bourne, R. Cristoferi - Asymptotic optimality of the triangular lattice for a class of optimal location problems
Comm. Math. Physics, 387-3, pp. 1549-1602 (2021) - Open Access
(pdf)
(ArXiv)
(link to article)
[12] R. Cristoferi, G. Gravina - On the relaxation of functionals with contact terms on non-smooth domains
Indiana Univ. Math. J. 72 (2023), pp. 197-238
(pdf)
(ArXiv)
(link to article)
[11] R. Cristoferi, G. Gravina - Sharp interface limit of a multi-phase transition model under non-isothermal conditions
Calc. Var. and Partial Differential Equations, 60, Article number: 142 (2021) - Open Access
(pdf)
(ArXiv)
(link to article)
[10] M. Bonacini, R. Cristoferi, I. Topaloglu - Minimality of polytopes in a nonlocal anisotropic isoperimetric problem
Nonlinear Analysis, 205 (2021)
(pdf)
(ArXiv)
(link to article)
[9] R. Cristoferi - Exact solutions for the denoising problem of piecewise constant images in dimension one
Journal of Applied Analysis, 27-1 (2020), pp. 13-33 - Open Access
(pdf)
(ArXiv)
(link to article)
[8] M. Caroccia, R. Cristoferi - On the Gamma convergence of functionals defined over pairs of measures and energy-measures
Journal of Nonlinear Science, 30-4 (2020), pp. 1723-1769 - Open Access
(pdf)
(ArXiv)
(link to article)
[7] R. Cristoferi, M. Thorpe - Large data limit for a phase transition model with the p-Laplacian on point clouds
European J. Appl. Math, 31-2, (2020), pp. 185-231
(pdf)
(ArXiv)
(link to article)
[6] R. Cristoferi, I. Fonseca, A. Hagerty, C. Popovici - A homogenization result in the gradient theory of phase transitions
Interf. Free Boundaries, 21-3 (2019), pp. 367-408
(pdf)
(ArXiv)
(link to article)
[5] R. Cristoferi, I. Fonseca - Piecewise constant reconstruction of damaged color images
ESAIM: COCV, 25-37 (2019)
(pdf)
(ArXiv)
(link to article)
[4] M. Caroccia, R. Cristoferi, L. Dietrich - Equilibria configurations for epitaxial crystal growth with adatoms
Arch. Rational Mech. Anal., 230-3 (2018), pp. 785-838
(pdf)
(ArXiv)
(link to article)
[3] R. Cristoferi - On periodic critical points and local minimizers of the Ohta-Kawasaki functional
Nonlinear Analysis, 168 (2018), pp. 81-109
(pdf)
(ArXiv)
(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), pp. 401-435
(pdf)
(ArXiv)
(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), pp. 2310-2349
(pdf)
(ArXiv)
(link to article)
[3] R. Cristoferi - Phase separation in heterogeneous media
Calculus of Variations. Oberwolfach Reports - Organized by: Lia Bronsard, László Székelyhidi, Yoshihiro Tonegawa, Tatiana Toro (2022)
(pdf)
[2] R. Cristoferi - Clustering of Big Data: consistency of a nonlocal Ginzburg-Landau type model
Rendiconti Sem. Mat. Univ. Pol. Torino, 77-2 (2019), pp. 7–31 - Open Access
(pdf)
(link to article)
[1] M. Bonacini, R. Cristoferi - Local and global minimality results for a nonlocal isoperimetric problem on \mathbb{R}^N
Rendiconti Lincei-Matematica e Applicazioni, 27-1 (2016), pp. 37-50
(link to article)
[1] M. Bonacini, R. Cristoferi, I. Topaloglu - Alexandrov's Soap Bubble Theorem for Polygons
The American Mathematical Monthly, 1–10 (2025)
(ArXiv)
(link to article)