Publications


    [21] R. Cristoferi, G. Fissore - Two dimensional graph model for epitaxial crystal growth with adatoms
                Submitted
                 (pdf) (ArXiv)

    [20] R. Cristoferi, M.G. Mora, L. Scardia - Shape optimisation for nonlocal anisotropic energies
                Submitted
                 (pdf) (ArXiv)

    [19] R. Cristoferi, I. Fonseca, L. Ganedi - Homogenization and phase separation with fixed wells - The supercritical case
                Submitted
                 (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) (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)

Proceedings


    [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)