G. Bellettini: Alcuni Risultati sulle Minime Barriere per Movimenti Geometrici di Insiemi () 1996 G. Bellettini, G. Fusco: Some Aspects of the Dynamic of $V=H-\bar H$ () 1996 G. Bellettini, M. Novaga: Minimal Barriers for Geometric Evolutions J. Differential Eqs. Vol. 139, N. 1, p. 76-103, 1997 G. Bellettini, M. Novaga: Barriers for a Class of Geometric Evolutions Problems Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei, serie IX Vol. VIII, N. 2, p. 119-128, 1997 G. Bellettini, M. Novaga, M. Paolini: An example of three dimensional fattening for linked space curves evolving by curvature Comm. Partial Differential Equations Vol. 23, p. 1475-1492, 1998 G. Bellettini, M. Novaga: Comparison Results between Minimal Barriers and Viscosity Solutions for Geometric Evolutions Ann. Sc. Norm. Sup. Pisa Cl. Sci. Vol. XXVI, p. 97-131, 1998 G. Bellettini, M. Novaga, M. Paolini: Facet--breaking for three--dimensional crystals evolving by mean curvature Interfaces and Free Boundaries Vol. 1, p. 39-55, 1999 G. Bellettini, M. Novaga: A result on motion by mean curvature in arbitrary codimension J. Differential Geom. and its Appl. Vol. 11, p. 205-220, 1999 G. Bellettini, G. Bouchitté, I. Fragalą: BV Functions with Respect to a Measure and Relaxation of Metric Integral Functionals J. Convex Anal. Vol. 6, N. 2, p. 349-366, 2000 G. Bellettini, I. Fragalą: Elliptic Approximations to Prescribed Mean Curvature Surfaces in Finsler Geometry Asymptotic Anal. Vol. 22, p. 87-111, 2000 G. Bellettini, M. Novaga: Approximation and comparison for non-smooth anisotropic motion by mean curvature in $\mathbb R^N$ Math. Mod. Meth. Appl. Sc. Vol. 10, N. 1, p. 1-10, 2000 G. Bellettini, G. Fusco: Stable dynamics of spikes in solutions to a system of reaction-diffusion equations Asymp. Anal. Vol. 26, p. 307-357, 2001 G. Bellettini, M. Novaga, M. Paolini: On a crystalline variational problem, part II: $BV$-regularity and structure of minimizers on facets Arch. Rational Mech. Anal. Vol. 157, N. 3, p. 193-217, 2001 G. Bellettini: Some aspects of motion by mean curvature in presence of nonsmooth anisotropies Proc. of the 3th. European Conference on Math., Barcellona 2000 2001 G. Bellettini, M. Novaga, M. Paolini: On a crystalline variational problem, part I: first variation and global $L^\infty$ regularity Arch. Rational Mech. Anal. Vol. 157, N. 3, p. 165-191, 2001 G. Bellettini, M. Novaga, M. Paolini: Characterization of facet--breaking for nonsmooth mean curvature flow in the convex case Interfaces and Free Boundaries Vol. 3, p. 415-446, 2001 G. Bellettini, P. Buttą, E. Presutti: Sharp interface limits of non local anisotropic interactions Arch. Rational Mech. Anal. Vol. 159, p. 109-135, 2001 G. Bellettini, G. F. Gronchi: Barriers for systems of ordinary differential equations: an application to the two-body problem Rend. Atti Acc. Naz. Sci. XL Mem. Mat. Vol. XXVI, p. 145-160, 2002 G. Bellettini, V. Caselles, M. Novaga: The Total Variation Flow in $R^N$ J. Differential Equations Vol. 184, N. 2, p. 475-525, 2002 G. Bellettini, G. Fusco, G. F. Gronchi: Regularization of the two-body problem via smoothing the potential Comm. Pure Appl. Anal. Vol. 2, p. 323-353, 2003 G. Bellettini, G. Fusco: Stable dynamics of spikes in solutions to a system of reaction-diffusion equations, II Asymp. Anal. Vol. 33, p. 9-50, 2003 G. Bellettini, M. Novaga, G. Riey: First variation of anisotropic energies and crystalline mean curvature for partitions Interfaces Free Bound. Vol. 5, p. 331-356, 2003 G. Bellettini, G. Fusco: A regularized Perona-Malik functional: some aspects of the gradient dynamics EQUADIFF 2003 Proceedings of the International Conference on Differential Equations Hasselt, Belgium 22 - 26 July 2003 Freddy Dumortier, Henk Broer, Jean Mawhin, Andre Vanderbauwhede and Sjoerd Verduyn Lunel eds., p. 639-644, 2003 G. Bellettini, A. De Masi, E. Presutti: Energy levels of critical points of a nonlocal functional J. Math. Phys. (Accepted Paper) 2004 G. Bellettini, G. Fusco: The Gamma limit and the related gradient flow for singular perturbation funtionals of Perona-Malik type (Submitted Paper) 2004 G. Bellettini, L. Mugnai: Characterization and representation of the lower semicontinuous envelope of the elastica functional Ann. Inst. H. Poincare`, Anal. Non Lin. Vol. 6, N. 21, p. 839-880, 2004 G. Bellettini, R. March: An image segmentation variational model with free discontinuities and contour curvature Math. Mod. Meth. Appl. Sci. Vol. 14, p. 1-45, 2004 G. Bellettini, V. Caselles, M. Novaga: Explicit solutions of the eigenvalue problem $- {\rm div} \left( Du/ \vert Du \vert \right) = u$ SIAM J. Math. Anal. Vol. 36, p. 1095-1129, 2005 G. Bellettini, L. Mugnai: On the approximation of the elastica functional in radial symmetry Calc. Var. Partial Differential Equations Vol. 24, p. 1-20, 2005 G. Bellettini, M. Novaga, E. Paolini: Global solutions to the gradient flow equation of a nonconvex functional SIAM J. on Math. Anal. Vol. 37, N. 5, p. 1657-1687, 2005 G. Bellettini, A. De Masi, E. Presutti: Tunnelling in nonlocal evolution equations J. Nonlin. Math. Phys. Vol. 12, N. 1, p. 50-63, 2005 G. Bellettini, B. Dacorogna, G. Fusco, F. Leonetti: Qualitative properties of Lipschitz solutions of eikonal type systems Adv. Math. Sci. Appl. (Accepted Paper) 2005 G. Bellettini, A. De Masi, N. Dirr, E. Presutti: Tunnelling in two dimensions Comm. Math. Phys. (Accepted Paper) 2006 G. Bellettini, V. Beorchia, M. Paolini: Topological and variational properties of a model for the reconstruction of three-dimensional transparent images with self-occlusions (Submitted Paper) 2006 G. Bellettini, M. Chermisi, M. Novaga: Crystalline curvature flow of planar networks Interfaces Free Bound. 2006 G. Bellettini, G. Fusco, N. Guglielmi: A concept of solution for forward-backward equations of the form $u_t = \frac{1}{2}(p'(u_x))_x$ and numerical experiments for the singular perturbation $u_t = - \eps^2 u_{xxxx} + \frac{1}{2} (\phi'(u_x))_x$ Discrete Cont. Dyn. Syst. (Accepted Paper) Vol. 16, N. 4, p. 783-842, 2006 G. Bellettini, L. Mugnai: Remarks on the variational nature of the heat equation and of mean curvature flow (Preprint) 2006 G. Bellettini, M. S. Gelli, S. Luckhaus, M. Novaga: Deterministic equivalent for the Allen-Cahn energy of a scaling law in the Ising model Calc. Var. Partial Differential Equations Vol. 26, N. 4, p. 429-445, 2006 G. Bellettini, V. Caselles, A. Chambolle, M. Novaga: Crystalline mean curvature flow of convex sets Arch. Rational Mech. Anal. Vol. 179, N. 1, p. 109-152, 2006 G. Bellettini, V. Beorchia, M. Paolini: An explicit formula for a Bennequin-type invariant for apparent contours (Submitted Paper) 2007 G. Bellettini, C. Mantegazza, M. Novaga: Singular Perturbations of Mean Curvature Flow J. Diff. Geom. Vol. 75, N. 3, p. 403-431, 2007 G. Bellettini, M. Chermisi, M. Novaga: The level set method for systems of PDEs Comm. Partial Differential Equations 2007 G. Bellettini, L. Mugnai: A varifolds representation of the relaxed elastica functional J. Convex Anal. (Accepted Paper) 2007 G. Bellettini, M. Masala, M. Novaga: A conjecture of De Giorgi on the squared distance function J. Convex Anal. Vol. 14, N. 2, p. 351-358, 2007 G. Bellettini, F. Caselli, M. Mariani: Some applications of the least squares method to differential equations and related problems (Submitted Paper) 2008 G. Bellettini, V. Beorchia, M. Paolini: Completion of visible contours (Submitted Paper) 2008 G. Bellettini, M. Novaga, M. Paolini, C. Tornese: Convergence of discrete schemes for the Perona-Malik equation J. Differential Eqs. Vol. 245, p. 892-924, 2008 G. Bellettini, V. Beorchia, M. Paolini: Completeness of Reidemeister-type moves for surfaces embedded in three-dimensional space (Submitted Paper) 2009 G. Bellettini, M. Paolini: On the area of the graph of a singular map from the plane to the plane taking three values (Submitted Paper) 2009 G. Bellettini, F. Caselli, M. Mariani: Quasi-potentials of the entropy functionals for scalar conservation laws J. Functional Anal. (Accepted Paper) 2009 G. Bellettini, L. Mugnai: Approximation of the Helfrich's functional via Diffuse Interfaces (Submitted Paper) 2009 G. Bellettini, M. Novaga, M. Paolini, C. Tornese: Classification of the equilibria for the semi-discrete Perona-Malik equation Calcolo Vol. 46, N. 4, p. 221-243, 2009 G. Bellettini, V. Caselles, A. Chambolle, M. Novaga: The volume preserving crystalline mean curvature flow of convex sets in $\mathbf R^N$ J. Math. Pures Appl. Vol. 92, N. 5, p. 499-527, 2009 G. Bellettini, J. Hoppe, M. Novaga, G. Orlandi: Closure and convexity properties of closed relativistic strings Complex Analysis and Operator Theory Vol. 4, N. 3, p. 473-496, 2010 G. Bellettini, M. Novaga, G. Orlandi: Time-like lorentzian minimal submanifolds as singular limits of nonlinear wave equations Physica D Vol. 239, p. 335-339, 2010 G. Bellettini, L. Bertini, M. Mariani, M. Novaga: $\Gamma$-entropy cost for scalar conservation laws Arch. Rat. Mech. Anal. Vol. 195, N. 1, p. 261-309, 2010 G. Bellettini, M. Novaga: Curvature Evolution of Nonconvex Lens-Shaped Domains J. Reine Angew. Math. Vol. 656, p. 17-46, 2011 G. Bellettini, M. Novaga, M. Paolini: Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension Math. Mod. Meth. Appl. Sc. Vol. 21, N. 2, p. 1-25, 2011 G. Bellettini, M. Paolini, F. Pasquarelli: Nonconvex mean curvature flow as a formal singular limit of the nonlinear bidomain model (Submitted Paper) 2012 G. Bellettini, L. Bertini, M. Mariani, M. Novaga: Convergence of the one-dimensional Cahn-Hilliard Equation SIAM J. on Math. Anal. Vol. 44, N. 5, p. 3458-3480, 2012 G. Bellettini, M. Novaga, G. Orlandi: Lorentzian varifolds and applications to closed relativistic strings Indiana Univ. Math. J. Vol. 61, N. 6, p. 2251-2310, 2012 S. Amato, G. Bellettini, M. Paolini: The nonlinear multidomain model: a new formal asymptotic analysis (Submitted Paper) 2013 G. Bellettini, A. Chambolle, M. Goldman: The Gamma-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension M3AS (Accepted Paper) 2013 G. Bellettini: Lecture Notes on Mean Curvature Flow, Barriers and Singular Perturbations Edizioni della Scuola Normale (Book) p. xviii-329, 2013 G. Bellettini, C. Geldhauser, M. Novaga: Convergence of a semidiscrete scheme for a forward-backward parabolic equation Advances Differential Equations Vol. 18, N. 5/6, p. 495-522, 2013 G. Bellettini, V. Beorchia, M. Paolini, F. Pasquarelli: Shape Reconstruction from Apparent Contours. Theory and Algorithms Computational Imaging and Vision, Springer-Verlag, to appear (Book) p. iii-333, 2014 G. Bellettini, M. Paolini, L. Tealdi: On the area of the graph of a piecewise smooth map from the plane to the plane with a curve discontinuity (Accepted Paper) 2014 S. Amato, G. Bellettini, M. Paolini: Constrained $BV$ functions on covering spaces for minimal networks and Plateau's type problems (Submitted Paper) 2015 G. Bellettini, A. Nayam, M. Novaga: $\Gamma$-type estimates for the one-dimensional Allen-Cahn's action Asymptotic Analysis Vol. 94, N. 1-2, p. 161-185, 2015 S. Amato, G. Bellettini, L. Tealdi: Anisotropic mean curvature on facets and relations with capillarity (Submitted Paper) 2015 G. Bellettini, M. Paolini, L. Tealdi: Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity (Submitted Paper) 2015 G. Bellettini, M. Novaga, G. Orlandi: Eventual regularity for the parabolic minimal surface equation Discrete Cont. Dynam. System A Vol. 35, N. 12, p. 5711-5723, 2015 G. Bellettini, S. Kholmatov: Minimizing movements for mean curvature flow of droplets with prescribed contact angle (Preprint) 2016 G. Bellettini, S. Kholmatov: Minimizing movements for mean curvature flow of partitions (Submitted Paper) 2017 G. Bellettini, M. Paolini, F. Pasquarelli: Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone (Submitted Paper) 2017 G. Bellettini, M. Paolini, F. Pasquarelli, G. Scianna: Covers, soap films and BV functions (Submitted Paper) 2017 G. Bellettini, S. Kholmatov, M. Novaga: Minimizers of anisotropic perimeters with cylindrical norms Comm. Pure Appl. Analysis Vol. 16, N. 4, p. 1427-1454, 2017 G. Bellettini, A. Elshorbagy: On the square distance function from a manifold with boundary (Submitted Paper) 2019 G. Bellettini, A. Elshorbagy, M. Paolini, R. Scala: On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions (Preprint) 2019 G. Bellettini, A. Chambolle, S. Kholmatov: Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities (Submitted Paper) 2020 G. Bellettini, A. Elshorbagy, R. Scala: The $L^1$-relaxed area of the graph of the vortex map (Preprint) 2021 G. Bellettini, R. Marziani, R. Scala: A non-parametric Plateau problem with partial free boundary (Submitted Paper) 2021 G. Bellettini, A. Betti, M. Paolini: A free boundary singular transport equation as a formal limit of a discrete dynamical system (Submitted Paper) 2022 G. Bellettini, S. Carano, R. Scala: The relaxed area of $S^1$-valued singular maps in the strict $BV$-convergence ESAIM: Control, Optimization and Calculus of Variations Vol. 28, N. 56, p. 38, 2022 G. Bellettini, S. Kholmatov: Some aspects of anisotropic curvature flow of planar partitions (Preprint) 2023 G. Bellettini, R. Scala, G. Scianna: Upper bounds for the relaxed area of $S^1$-valued Sobolev maps and its countably subadditive interior envelope (Preprint) 2023 G. Bellettini, S. Carano, R. Scala: Relaxed area of graphs of piecewise Lipschitz maps in the strict $BV$-convergence Nonlinear Analysis (Accepted Paper) p. 46, 2023 G. Bellettini, M. Freguglia, N. Picenni: On a conjecture of De Giorgi about the phase-field approximation of the Willmore functional Arch. Rational Mech. Anal. Vol. 247, 2023 F. Almuratov, G. Bellettini, S. Kholmatov: Crystalline hexagonal curvature flow of networks: short-time, long-time and self-similar evolutions (Preprint) 2024 G. Bellettini, S. Kholmatov: Minimizing movements for the generalized power mean curvature flow (Preprint) 2024 G. Bellettini, A. Elshorbagy, R. Scala: The $L^1$-relaxed area of the graph of the vortex map: optimal upper bound (Preprint) 2024 G. Bellettini, A. Elshorbagy, R. Scala: Relaxation of the area of the vortex map: a non-parametric Plateau problem for a catenoid containing a segment (Preprint) 2024 G. Bellettini, A. Elshorbagy, R. Scala: The $L^1$-relaxed area of the graph of the vortex map: optimal lower bound (Preprint) 2024