Edit Profile Bellettini, Giovanni Compute Distance To: Compute Author ID: bellettini.giovanni Published as: Belletini, G.; Belletini, Giovanni; Bellettini, G.; Bellettini, Giovanni Homepage: http://www.math.sissa.it/users/giovanni-bellettini External Links: dblp Documents Indexed: 124 Publications since 1990, including 2 Books all top 5 Co-Authors 10 single-authored 40 Paolini, Maurizio 36 Novaga, Matteo 9 Fusco, Giorgio 7 Presutti, Errico 6 Mugnai, Luca 6 Verdi, Claudio 4 Amar, Micol 4 Beorchia, Valentina 4 Caselles Costa, Vicent 4 De Masi, Anna 4 March, Riccardo 4 Mariani, Mauro 4 Orlandi, Giandomenico 4 Pasquarelli, Franco 3 Alberti, Giovanni 3 Amato, Stefano 3 Chambolle, Antonin 3 Coscia, Alessandra 3 Kholmatov, Shokhrukh Yusufovich 3 Tealdi, Lucia 2 Bertini, Lorenzo Bertini 2 Caselli, Federica 2 Cassandro, Marzio 2 Chermisi, Milena 2 Dal Maso, Gianni 2 Dirr, Nicolas Peter 2 Fragalà, Ilaria 2 Riey, Giuseppe 2 Tornese, C. 2 Venturini, Sergio 2 Wang, Yi-Sheng 1 Baldo, Sisto 1 Bouchitté, Guy 1 Braides, Andrea 1 Buttà, Paolo 1 Colli Franzone, Piero 1 Dacorogna, Bernard 1 Dell’Agnello, Simone 1 Elshorbagy, Alaa 1 Geldhauser, Carina 1 Gelli, Maria Stella 1 Goglione, Roberta 1 Goldman, Michael 1 Gronchi, Giovanni-Federico 1 Guglielmi, Nicola 1 Hoppe, Jens 1 Leonetti, Francesco 1 Luckhaus, Stephan 1 Mantegazza, Carlo 1 Masala, M. 1 Nayam, Al-hassem 1 Paolini, Emanuele 1 Scala, Riccardo 1 Scianna, Giuseppe 1 Tauraso, Roberto all top 5 Serials 7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 6 Asymptotic Analysis 5 Archive for Rational Mechanics and Analysis 5 SIAM Journal on Mathematical Analysis 5 Interfaces and Free Boundaries 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Differential Equations 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Convex Analysis 3 Advances in Mathematical Sciences and Applications 2 Journal of Statistical Physics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Calcolo 2 Topology and its Applications 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bollettino della Unione Matemàtica Italiana. Serie VII. A 2 Calculus of Variations and Partial Differential Equations 2 Advances in Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Communications on Pure and Applied Analysis 2 Advances in Calculus of Variations 2 Geometric Flows 1 Communications in Mathematical Physics 1 General Relativity and Gravitation 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Physics 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Numerical Functional Analysis and Optimization 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Physica D 1 European Journal of Applied Mathematics 1 Differential and Integral Equations 1 Differential Geometry and its Applications 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Journal of Knot Theory and its Ramifications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 International Journal of Mathematics, Game Theory and Algebra 1 Journal of the European Mathematical Society (JEMS) 1 Rendiconti della Accademia Nazionale delle Scienze detta dei XL. Memorie di Matematica e Applicazioni. Serie V 1 Journal of Nonlinear Mathematical Physics 1 Computational Imaging and Vision 1 Appunti. Scuola Normale Superiore di Pisa (Nuova Serie) 1 Complex Analysis and Operator Theory 1 SIAM Journal on Imaging Sciences all top 5 Fields 60 Calculus of variations and optimal control; optimization (49-XX) 47 Partial differential equations (35-XX) 41 Differential geometry (53-XX) 13 Numerical analysis (65-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Manifolds and cell complexes (57-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Mechanics of deformable solids (74-XX) 4 Ordinary differential equations (34-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Computer science (68-XX) 3 Relativity and gravitational theory (83-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 1,012 times in 657 Documents Cited by ▼ Year ▼ The total variation flow in \(\mathbb R^N\). Zbl 1036.35099Bellettini, G.; Caselles, V.; Novaga, M. 87 2002 Anisotropic motion by mean curvature in the context of Finsler geometry. Zbl 0873.53011Bellettini, G.; Paolini, M. 58 1996 A non-local anisotropic model for phase transitions: Asymptotic behaviour of rescaled energies. Zbl 0932.49018Alberti, Giovanni; Bellettini, Giovanni 51 1998 Compactness and lower semicontinuity properties in \(SBD(\Omega)\). Zbl 0914.46007Bellettini, G.; Coscia, A.; Dal Maso, G. 50 1998 A nonlocal anisotropic model for phase transitions. Zbl 0891.49021Alberti, Giovanni; Bellettini, Giovanni 49 1998 A notion of total variation depending on a metric with discontinuous coefficients. Zbl 0842.49016Amar, M.; Bellettini, G. 40 1994 Discrete approximation of a free discontinuity problem. Zbl 0806.49002Bellettini, Giovanni; Coscia, Alessandra 40 1994 Crystalline mean curvature flow of convex sets. Zbl 1148.53049Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 28 2006 On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity. Zbl 0976.58016Bellettini, G.; Novaga, M.; Paolini, M. 24 2001 Surface tension in Ising systems with Kac potentials. Zbl 1042.82539Alberti, G.; Bellettini, G.; Cassandro, M.; Presutti, E. 23 1996 Lecture notes on mean curvature flow, barriers and singular perturbations. Zbl 1312.53002Bellettini, Giovanni 21 2013 Characterization of facet breaking for nonsmooth mean curvature flow in the convex case. Zbl 0989.35127Bellettini, G.; Novaga, M.; Paolini, M. 21 2001 A concept of solution and numerical experiments for forward-backward diffusion equations. Zbl 1105.35007Bellettini, Giovanni; Fusco, Giorgio; Guglielmi, Nicola 20 2006 Explicit solutions of the eigenvalue problem \(-\text{div}\left(\frac {Du} {|Du|}\right)=u\) in \(\mathbb R^2\). Zbl 1162.35379Bellettini, Giovanni; Caselles, Vicent; Novaga, Matteo 20 2005 Semicontinuity and relaxation properties of a curvature depending functional in 2D. Zbl 0797.49013Bellettini, G.; Dal Maso, G.; Paolini, M. 20 1993 The \(\Gamma \)-limit and the related gradient flow for singular perturbation functionals of Perona-Malik type. Zbl 1191.49010Bellettini, G.; Fusco, G. 16 2008 Characterization and representation of the lower semicontinuous envelope of the elastica functional. Zbl 1110.49014Bellettini, G.; Mugnai, L. 16 2004 On a crystalline variational problem. II: \(BV\) regularity and structure of minimizers on facets. Zbl 0976.58017Bellettini, G.; Novaga, M.; Paolini, M. 16 2001 Facet-breaking for three-dimensional crystals evolving by mean curvature. Zbl 0934.49023Bellettini, G.; Novaga, M.; Paolini, M. 16 1999 Some results on surface measures in calculus of variations. Zbl 0890.49020Bellettini, G.; Paolini, M.; Venturini, S. 15 1996 Quasi-optimal error estimates for the mean curvature flow with a forcing term. Zbl 0820.49019Bellettini, G.; Paolini, M. 15 1995 The volume preserving crystalline mean curvature flow of convex sets in \(\mathbb R^N\). Zbl 1178.53066Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 14 2009 Global solutions to the gradient flow equation of a nonconvex functional. Zbl 1109.35050Bellettini, G.; Novaga, M.; Paolini, E. 12 2006 Approximation and comparison for nonsmooth anisotropic motion by mean curvature in \(\mathbb{R}^N\). Zbl 1016.53048Bellettini, G.; Novaga, M. 12 2000 Minimal barriers for geometric evolutions. Zbl 0882.35028Bellettini, G.; Novaga, M. 12 1997 BV functions with respect to a measure and relaxation of metric integral functionals. Zbl 0959.49015Bellettini, Giovanni; Bouchitté, Guy; Fragalà, Ilaria 11 1999 Approximation of Helfrich’s functional via diffuse interfaces. Zbl 1230.49006Bellettini, Giovanni; Mugnai, Luca 10 2010 \(\Gamma\)-entropy cost for scalar conservation laws. Zbl 1191.35172Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo 10 2010 Time-like minimal submanifolds as singular limits of nonlinear wave equations. Zbl 1190.35022Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico 9 2010 A varifolds representation of the relaxed elastica functional. Zbl 1127.49032Bellettini, G.; Mugnai, L. 9 2007 Singular perturbations of mean curvature flow. Zbl 1119.53043Bellettini, Giovanni; Mantegazza, Carlo; Novaga, Matteo 9 2007 On the approximation of the elastica functional in radial symmetry. Zbl 1086.49009Bellettini, G.; Mugnai, L. 9 2005 Closure and convexity results for closed relativistic strings. Zbl 1203.53063Bellettini, Giovanni; Hoppe, Jens; Novaga, Matteo; Orlandi, Giandomenico 8 2010 Approximation to driven motion by crystalline curvature in two dimensions. Zbl 0979.53075Bellettini, G.; Goglione, R.; Novaga, M. 8 2000 Variational approximation of functionals with curvatures and related properties. Zbl 0882.49013Bellettini, G. 8 1997 \(\varGamma\)-type estimates for the one-dimensional Allen-Cahn’s action. Zbl 1325.49018Bellettini, Giovanni; Nayam, Al-Hassem; Novaga, Matteo 7 2015 Convergence of the one-dimensional Cahn-Hilliard equation. Zbl 1277.35197Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo 7 2012 Curvature evolution of nonconvex lens-shaped domains. Zbl 1237.53063Bellettini, Giovanni; Novaga, Matteo 7 2011 Convergence of discrete schemes for the Perona-Malik equation. Zbl 1155.35002Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C. 7 2008 Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature. Zbl 0944.53039Bellettini, G.; Paolini, M. 7 1995 \(\Gamma\)-convergence and numerical analysis: An application to the minimal partition problem. Zbl 0755.65064Baldo, Sisto; Bellettini, Giovanni 7 1991 Crystalline curvature flow of planar networks. Zbl 1103.74017Bellettini, G.; Chermisi, M.; Novaga, M. 6 2006 An image segmentation variational model with free discontinuities and contour curvature. Zbl 1044.49009Bellettini, Giovanni; March, Riccardo 6 2004 Convergence of front propagation for anisotropic bistable reaction-diffusion equations. Zbl 0902.35052Bellettini, Giovanni; Colli Franzone, Piero; Paolini, Maurizio 6 1997 Two examples of fattening for the curvature flow with a driving force. Zbl 0826.35051Bellettini, Giovanni; Paolini, Maurizio 6 1994 \(\Gamma\)-convergence of discrete approximations to interfaces with prescribed mean curvature. Zbl 0721.49038Bellettini, Giovanni; Paolini, Maurizio; Verdi, Claudio 6 1990 Classification of equilibria and \(\Gamma \)-convergence for the discrete Perona-Malik functional. Zbl 1210.47082Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C. 5 2009 Tunnelling in nonlocal evolution equations. Zbl 1362.45012Bellettini, Giovanni; De Masi, Anna; Presutti, Errico 5 2005 Energy levels of a nonlocal functional. Zbl 1110.82020Bellettini, G.; De Masi, A.; Presutti, E. 5 2005 Regularization of the two-body problem via smoothing the potential. Zbl 1140.70462Bellettini, G.; Fusco, G.; Gronchi, G. F. 5 2003 Sharp interface limits for non-local anisotropic interactions. Zbl 0994.82057Bellettini, Giovanni; Buttà, Paolo; Presutti, Errico 5 2001 An example of three dimensional fatterning for linked space curves evolving by curvature. Zbl 0958.35065Bellettini, Giovanni; Novaga, Matteo; Paolini, Maurizio 5 1998 Comparison results between minimal barriers and viscosity solutions for geometric evolutions. Zbl 0904.35041Bellettini, Giovanni; Novaga, Matteo 5 1998 Constrained minima of nonlocal free energy functionals. Zbl 1081.82502Bellettini, G.; Cassandro, M.; Presutti, E. 5 1996 Approximation of a functional depending on jumps and corners. Zbl 0808.49014Bellettini, G.; Coscia, A. 5 1994 Constrained BV functions on covering spaces for minimal networks and Plateau’s type problems. Zbl 1366.49044Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio 4 2017 The \(\Gamma\)-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension. Zbl 1287.49013Bellettini, Giovanni; Chambolle, Antonin; Goldman, Michael 4 2014 Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension. Zbl 1218.35034Bellettini, G.; Novaga, M.; Paolini, M. 4 2011 Variational approximation of anisotropic functionals on partitions. Zbl 1223.49016Bellettini, G.; Braides, A.; Riey, G. 4 2005 Some aspects of the dynamic of \(V=H-\overline{H}\). Zbl 0968.53044Belletini, G.; Fusco, G. 4 1999 Convex approximations of functionals with curvature. Zbl 0754.65066Bellettini, Giovanni; Paolini, Maurizio; Verdi, Claudio 4 1991 Numerical minimization of geometrical type problems related to calculus of variations. Zbl 0733.49039Bellettini, G.; Paolini, M.; Verdi, C. 4 1990 Lorentzian varifolds and applications to relativistic strings. Zbl 1280.49063Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico 3 2012 On the area of the graph of a singular map from the plane to the plane taking three values. Zbl 1200.49010Bellettini, Giovanni; Paolini, Maurizio 3 2010 Anisotropic geometric functionals and gradient flows. Zbl 1189.53063Bellettini, Giovanni; Mugnai, Luca 3 2009 Tunneling in two dimensions. Zbl 1117.82006Bellettini, G.; De Masi, A.; Dirr, N.; Presutti, E. 3 2007 A regularized Perona-Malik functional: some aspects of the gradient dynamics. Zbl 1108.35078Bellettini, G.; Fusco, G. 3 2005 Anisotropic and crystalline mean curvature flow. Zbl 1086.53083Bellettini, Giovanni 3 2004 Minimizing movements for mean curvature flow of droplets with prescribed contact angle. Zbl 1398.49044Bellettini, G.; Kholmatov, Sh. Yu. 2 2018 Minimizing movements for mean curvature flow of partitions. Zbl 1396.53089Bellettini, Giovanni; Kholmatov, Shokhrukh Yu. 2 2018 On the area of the graph of a piecewise smooth map from the plane to the plane with a curve discontinuity. Zbl 1338.49023Bellettini, Giovanni; Paolini, Maurizio; Tealdi, Lucia 2 2016 Eventual regularity for the parabolic minimal surface equation. Zbl 1334.35093Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico 2 2015 Shape reconstruction from apparent contours. Theory and algorithms. Zbl 1405.57001Bellettini, Giovanni; Beorchia, Valentina; Paolini, Maurizio; Pasquarelli, Franco 2 2015 Nonconvex mean curvature flow as a formal singular limit of the nonlinear bidomain model. Zbl 1272.53054Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco 2 2013 Constraining spacetime torsion with LAGEOS. Zbl 1228.83096March, Riccardo; Bellettini, Giovanni; Tauraso, Roberto; Dell’Agnello, Simone 2 2011 Quasi-potentials of the entropy functionals for scalar conservation laws. Zbl 1180.49046Bellettini, Giovanni; Caselli, Federica; Mariani, Mauro 2 2010 Some aspects of the variational nature of mean curvature flow. Zbl 1155.49007Bellettini, Giovanni; Mugnai, Luca 2 2008 The level set method for systems of PDEs. Zbl 1132.35051Bellettini, G.; Chermisi, M.; Novaga, M. 2 2007 A conjecture of de Giorgi on the square distance function. Zbl 1125.53004Bellettini, G.; Masala, M.; Novaga, M. 2 2007 Deterministic equivalent for the Allen-Cahn energy of a scaling law in the Ising model. Zbl 1097.82005Bellettini, G.; Gelli, M. S.; Luckhaus, S.; Novaga, M. 2 2006 First variation of anisotropic energies and crystalline mean curvature for partitions. Zbl 1066.49028Bellettini, G.; Riey, G.; Novaga, M. 2 2003 Elliptic approximations of prescribed mean curvature surfaces in Finsler geometry. Zbl 0976.53080Bellettini, Giovanni; Fragalà, Ilaria 2 2000 Integral representation of functionals defined on curves of \(W^{1,p}\). Zbl 0917.46025Amar, Micol; Bellettini, Giovanni; Venturini, Sergio 2 1998 Barriers for a class of geometric evolution problems. Zbl 0990.35070Bellettini, Giovanni; Novaga, Matteo 2 1997 Numerical simulations of measurements of capillary contact angles. Zbl 0851.76010Bellettini, G.; Paolini, M. 2 1996 Variational properties of an image segmentation functional depending on contours curvature. Zbl 0853.49014Bellettini, G.; Paolini, M. 2 1995 Front-tracking and variational methods to approximate interfaces with prescribed mean curvature. Zbl 0754.65065Bellettini, G.; Paolini, M.; Verdi, C. 2 1991 An almost everywhere regularity result for minimal partitions. Zbl 0699.49042Bellettini, Giovanni 2 1990 Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone. Zbl 1417.49053Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco 1 2018 Covers, soap films and BV functions. Zbl 1393.49030Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco; Scianna, Giuseppe 1 2018 Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity. Zbl 1352.49007Bellettini, Giovanni; Paolini, Maurizio; Tealdi, Lucia 1 2016 Anisotropic mean curvature on facets and relations with capillarity. Zbl 1386.74109Amato, Stefano; Bellettini, Giovanni; Tealdi, Lucia 1 2015 The nonlinear multidomain model: a new formal asymptotic analysis. Zbl 1304.35048Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio 1 2013 Convergence of a semidiscrete scheme for a forward-backward parabolic equation. Zbl 1307.65118Bellettini, Giovanni; Geldhauser, Carina; Novaga, Matteo 1 2013 Variational convergence of multidimensional conservation laws. Zbl 1393.35128Bellettini, G.; Mariani, M. 1 2010 Some applications of the least squares method to differential equations and related problems. Zbl 1178.65079Bellettini, Giovanni; Caselli, Federica; Mariani, Mauro 1 2009 Asymptotic properties of the Nitzberg-Mumford variational model for segmentation with depth. Zbl 1112.49037Bellettini, Giovanni; March, Riccardo 1 2007 Qualitative properties of Lipschitz solutions of eikonal type systems. Zbl 1115.35015Bellettini, Giovanni; Dacorogna, Bernard; Fusco, Giorgio; Leonetti, Francesco 1 2006 On facet breaking for crystalline mean curvature flow in 3D. Zbl 1104.53063Bellettini, G. 1 2004 Stable dynamics of spikes in solutions to a system of reaction-diffusion equations. II. Zbl 1029.35129Bellettini, Giovanni; Fusco, Giorgio 1 2003 Minimizing movements for mean curvature flow of droplets with prescribed contact angle. Zbl 1398.49044Bellettini, G.; Kholmatov, Sh. Yu. 2 2018 Minimizing movements for mean curvature flow of partitions. Zbl 1396.53089Bellettini, Giovanni; Kholmatov, Shokhrukh Yu. 2 2018 Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone. Zbl 1417.49053Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco 1 2018 Covers, soap films and BV functions. Zbl 1393.49030Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco; Scianna, Giuseppe 1 2018 Constrained BV functions on covering spaces for minimal networks and Plateau’s type problems. Zbl 1366.49044Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio 4 2017 On the area of the graph of a piecewise smooth map from the plane to the plane with a curve discontinuity. Zbl 1338.49023Bellettini, Giovanni; Paolini, Maurizio; Tealdi, Lucia 2 2016 Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity. Zbl 1352.49007Bellettini, Giovanni; Paolini, Maurizio; Tealdi, Lucia 1 2016 \(\varGamma\)-type estimates for the one-dimensional Allen-Cahn’s action. Zbl 1325.49018Bellettini, Giovanni; Nayam, Al-Hassem; Novaga, Matteo 7 2015 Eventual regularity for the parabolic minimal surface equation. Zbl 1334.35093Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico 2 2015 Shape reconstruction from apparent contours. Theory and algorithms. Zbl 1405.57001Bellettini, Giovanni; Beorchia, Valentina; Paolini, Maurizio; Pasquarelli, Franco 2 2015 Anisotropic mean curvature on facets and relations with capillarity. Zbl 1386.74109Amato, Stefano; Bellettini, Giovanni; Tealdi, Lucia 1 2015 The \(\Gamma\)-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension. Zbl 1287.49013Bellettini, Giovanni; Chambolle, Antonin; Goldman, Michael 4 2014 Lecture notes on mean curvature flow, barriers and singular perturbations. Zbl 1312.53002Bellettini, Giovanni 21 2013 Nonconvex mean curvature flow as a formal singular limit of the nonlinear bidomain model. Zbl 1272.53054Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco 2 2013 The nonlinear multidomain model: a new formal asymptotic analysis. Zbl 1304.35048Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio 1 2013 Convergence of a semidiscrete scheme for a forward-backward parabolic equation. Zbl 1307.65118Bellettini, Giovanni; Geldhauser, Carina; Novaga, Matteo 1 2013 Convergence of the one-dimensional Cahn-Hilliard equation. Zbl 1277.35197Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo 7 2012 Lorentzian varifolds and applications to relativistic strings. Zbl 1280.49063Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico 3 2012 Curvature evolution of nonconvex lens-shaped domains. Zbl 1237.53063Bellettini, Giovanni; Novaga, Matteo 7 2011 Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension. Zbl 1218.35034Bellettini, G.; Novaga, M.; Paolini, M. 4 2011 Constraining spacetime torsion with LAGEOS. Zbl 1228.83096March, Riccardo; Bellettini, Giovanni; Tauraso, Roberto; Dell’Agnello, Simone 2 2011 Approximation of Helfrich’s functional via diffuse interfaces. Zbl 1230.49006Bellettini, Giovanni; Mugnai, Luca 10 2010 \(\Gamma\)-entropy cost for scalar conservation laws. Zbl 1191.35172Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo 10 2010 Time-like minimal submanifolds as singular limits of nonlinear wave equations. Zbl 1190.35022Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico 9 2010 Closure and convexity results for closed relativistic strings. Zbl 1203.53063Bellettini, Giovanni; Hoppe, Jens; Novaga, Matteo; Orlandi, Giandomenico 8 2010 On the area of the graph of a singular map from the plane to the plane taking three values. Zbl 1200.49010Bellettini, Giovanni; Paolini, Maurizio 3 2010 Quasi-potentials of the entropy functionals for scalar conservation laws. Zbl 1180.49046Bellettini, Giovanni; Caselli, Federica; Mariani, Mauro 2 2010 Variational convergence of multidimensional conservation laws. Zbl 1393.35128Bellettini, G.; Mariani, M. 1 2010 The volume preserving crystalline mean curvature flow of convex sets in \(\mathbb R^N\). Zbl 1178.53066Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 14 2009 Classification of equilibria and \(\Gamma \)-convergence for the discrete Perona-Malik functional. Zbl 1210.47082Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C. 5 2009 Anisotropic geometric functionals and gradient flows. Zbl 1189.53063Bellettini, Giovanni; Mugnai, Luca 3 2009 Some applications of the least squares method to differential equations and related problems. Zbl 1178.65079Bellettini, Giovanni; Caselli, Federica; Mariani, Mauro 1 2009 The \(\Gamma \)-limit and the related gradient flow for singular perturbation functionals of Perona-Malik type. Zbl 1191.49010Bellettini, G.; Fusco, G. 16 2008 Convergence of discrete schemes for the Perona-Malik equation. Zbl 1155.35002Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C. 7 2008 Some aspects of the variational nature of mean curvature flow. Zbl 1155.49007Bellettini, Giovanni; Mugnai, Luca 2 2008 A varifolds representation of the relaxed elastica functional. Zbl 1127.49032Bellettini, G.; Mugnai, L. 9 2007 Singular perturbations of mean curvature flow. Zbl 1119.53043Bellettini, Giovanni; Mantegazza, Carlo; Novaga, Matteo 9 2007 Tunneling in two dimensions. Zbl 1117.82006Bellettini, G.; De Masi, A.; Dirr, N.; Presutti, E. 3 2007 The level set method for systems of PDEs. Zbl 1132.35051Bellettini, G.; Chermisi, M.; Novaga, M. 2 2007 A conjecture of de Giorgi on the square distance function. Zbl 1125.53004Bellettini, G.; Masala, M.; Novaga, M. 2 2007 Asymptotic properties of the Nitzberg-Mumford variational model for segmentation with depth. Zbl 1112.49037Bellettini, Giovanni; March, Riccardo 1 2007 Crystalline mean curvature flow of convex sets. Zbl 1148.53049Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 28 2006 A concept of solution and numerical experiments for forward-backward diffusion equations. Zbl 1105.35007Bellettini, Giovanni; Fusco, Giorgio; Guglielmi, Nicola 20 2006 Global solutions to the gradient flow equation of a nonconvex functional. Zbl 1109.35050Bellettini, G.; Novaga, M.; Paolini, E. 12 2006 Crystalline curvature flow of planar networks. Zbl 1103.74017Bellettini, G.; Chermisi, M.; Novaga, M. 6 2006 Deterministic equivalent for the Allen-Cahn energy of a scaling law in the Ising model. Zbl 1097.82005Bellettini, G.; Gelli, M. S.; Luckhaus, S.; Novaga, M. 2 2006 Qualitative properties of Lipschitz solutions of eikonal type systems. Zbl 1115.35015Bellettini, Giovanni; Dacorogna, Bernard; Fusco, Giorgio; Leonetti, Francesco 1 2006 Explicit solutions of the eigenvalue problem \(-\text{div}\left(\frac {Du} {|Du|}\right)=u\) in \(\mathbb R^2\). Zbl 1162.35379Bellettini, Giovanni; Caselles, Vicent; Novaga, Matteo 20 2005 On the approximation of the elastica functional in radial symmetry. Zbl 1086.49009Bellettini, G.; Mugnai, L. 9 2005 Tunnelling in nonlocal evolution equations. Zbl 1362.45012Bellettini, Giovanni; De Masi, Anna; Presutti, Errico 5 2005 Energy levels of a nonlocal functional. Zbl 1110.82020Bellettini, G.; De Masi, A.; Presutti, E. 5 2005 Variational approximation of anisotropic functionals on partitions. Zbl 1223.49016Bellettini, G.; Braides, A.; Riey, G. 4 2005 A regularized Perona-Malik functional: some aspects of the gradient dynamics. Zbl 1108.35078Bellettini, G.; Fusco, G. 3 2005 Characterization and representation of the lower semicontinuous envelope of the elastica functional. Zbl 1110.49014Bellettini, G.; Mugnai, L. 16 2004 An image segmentation variational model with free discontinuities and contour curvature. Zbl 1044.49009Bellettini, Giovanni; March, Riccardo 6 2004 Anisotropic and crystalline mean curvature flow. Zbl 1086.53083Bellettini, Giovanni 3 2004 On facet breaking for crystalline mean curvature flow in 3D. Zbl 1104.53063Bellettini, G. 1 2004 Regularization of the two-body problem via smoothing the potential. Zbl 1140.70462Bellettini, G.; Fusco, G.; Gronchi, G. F. 5 2003 First variation of anisotropic energies and crystalline mean curvature for partitions. Zbl 1066.49028Bellettini, G.; Riey, G.; Novaga, M. 2 2003 Stable dynamics of spikes in solutions to a system of reaction-diffusion equations. II. Zbl 1029.35129Bellettini, Giovanni; Fusco, Giorgio 1 2003 The total variation flow in \(\mathbb R^N\). Zbl 1036.35099Bellettini, G.; Caselles, V.; Novaga, M. 87 2002 On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity. Zbl 0976.58016Bellettini, G.; Novaga, M.; Paolini, M. 24 2001 Characterization of facet breaking for nonsmooth mean curvature flow in the convex case. Zbl 0989.35127Bellettini, G.; Novaga, M.; Paolini, M. 21 2001 On a crystalline variational problem. II: \(BV\) regularity and structure of minimizers on facets. Zbl 0976.58017Bellettini, G.; Novaga, M.; Paolini, M. 16 2001 Sharp interface limits for non-local anisotropic interactions. Zbl 0994.82057Bellettini, Giovanni; Buttà, Paolo; Presutti, Errico 5 2001 Approximation and comparison for nonsmooth anisotropic motion by mean curvature in \(\mathbb{R}^N\). Zbl 1016.53048Bellettini, G.; Novaga, M. 12 2000 Approximation to driven motion by crystalline curvature in two dimensions. Zbl 0979.53075Bellettini, G.; Goglione, R.; Novaga, M. 8 2000 Elliptic approximations of prescribed mean curvature surfaces in Finsler geometry. Zbl 0976.53080Bellettini, Giovanni; Fragalà, Ilaria 2 2000 Some aspects of De Giorgi’s barriers for geometric evolutions. Zbl 0957.35080Bellettini, G.; Novaga, M. 1 2000 Facet-breaking for three-dimensional crystals evolving by mean curvature. Zbl 0934.49023Bellettini, G.; Novaga, M.; Paolini, M. 16 1999 BV functions with respect to a measure and relaxation of metric integral functionals. Zbl 0959.49015Bellettini, Giovanni; Bouchitté, Guy; Fragalà, Ilaria 11 1999 Some aspects of the dynamic of \(V=H-\overline{H}\). Zbl 0968.53044Belletini, G.; Fusco, G. 4 1999 A result on motion by mean curvature in arbitrary codimension. Zbl 0959.35085Bellettini, G.; Novaga, M. 1 1999 A non-local anisotropic model for phase transitions: Asymptotic behaviour of rescaled energies. Zbl 0932.49018Alberti, Giovanni; Bellettini, Giovanni 51 1998 Compactness and lower semicontinuity properties in \(SBD(\Omega)\). Zbl 0914.46007Bellettini, G.; Coscia, A.; Dal Maso, G. 50 1998 A nonlocal anisotropic model for phase transitions. Zbl 0891.49021Alberti, Giovanni; Bellettini, Giovanni 49 1998 An example of three dimensional fatterning for linked space curves evolving by curvature. Zbl 0958.35065Bellettini, Giovanni; Novaga, Matteo; Paolini, Maurizio 5 1998 Comparison results between minimal barriers and viscosity solutions for geometric evolutions. Zbl 0904.35041Bellettini, Giovanni; Novaga, Matteo 5 1998 Integral representation of functionals defined on curves of \(W^{1,p}\). Zbl 0917.46025Amar, Micol; Bellettini, Giovanni; Venturini, Sergio 2 1998 The dynamics of \(V=H-\overline{H}\): Motion of a small drop on a fixed surface. Zbl 0962.35090Belletini, Giovanni; Fusco, Giorgio 1 1998 Minimal barriers for geometric evolutions. Zbl 0882.35028Bellettini, G.; Novaga, M. 12 1997 Variational approximation of functionals with curvatures and related properties. Zbl 0882.49013Bellettini, G. 8 1997 Convergence of front propagation for anisotropic bistable reaction-diffusion equations. Zbl 0902.35052Bellettini, Giovanni; Colli Franzone, Piero; Paolini, Maurizio 6 1997 Barriers for a class of geometric evolution problems. Zbl 0990.35070Bellettini, Giovanni; Novaga, Matteo 2 1997 Some results on minimal barriers for geometric movements of sets. Zbl 0893.35043Bellettini, G. 1 1997 Anisotropic motion by mean curvature in the context of Finsler geometry. Zbl 0873.53011Bellettini, G.; Paolini, M. 58 1996 Surface tension in Ising systems with Kac potentials. Zbl 1042.82539Alberti, G.; Bellettini, G.; Cassandro, M.; Presutti, E. 23 1996 Some results on surface measures in calculus of variations. Zbl 0890.49020Bellettini, G.; Paolini, M.; Venturini, S. 15 1996 Constrained minima of nonlocal free energy functionals. Zbl 1081.82502Bellettini, G.; Cassandro, M.; Presutti, E. 5 1996 Numerical simulations of measurements of capillary contact angles. Zbl 0851.76010Bellettini, G.; Paolini, M. 2 1996 Quasi-optimal error estimates for the mean curvature flow with a forcing term. Zbl 0820.49019Bellettini, G.; Paolini, M. 15 1995 Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature. Zbl 0944.53039Bellettini, G.; Paolini, M. 7 1995 Variational properties of an image segmentation functional depending on contours curvature. Zbl 0853.49014Bellettini, G.; Paolini, M. 2 1995 Approximation by \(\Gamma\)-convergence of a total variation with discontinuous coefficients. Zbl 0844.49013Amar, M.; Bellettini, G. 1 1995 Comparison theorems between different notions of motion by mean curvature. Zbl 0834.35062Bellettini, Giovanni; Paolini, Maurizio 1 1995 A notion of total variation depending on a metric with discontinuous coefficients. Zbl 0842.49016Amar, M.; Bellettini, G. 40 1994 Discrete approximation of a free discontinuity problem. Zbl 0806.49002Bellettini, Giovanni; Coscia, Alessandra 40 1994 Two examples of fattening for the curvature flow with a driving force. Zbl 0826.35051Bellettini, Giovanni; Paolini, Maurizio 6 1994 Approximation of a functional depending on jumps and corners. Zbl 0808.49014Bellettini, G.; Coscia, A. 5 1994 Convex approximation of an inhomogeneous anisotropic functional. Zbl 0809.65069Bellettini, Giovanni; Paolini, Maurizio 1 1994 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 845 Authors 40 Novaga, Matteo 39 Bellettini, Giovanni 27 Chambolle, Antonin 18 Paolini, Maurizio 14 Giga, Yoshikazu 12 Caselles Costa, Vicent 12 Rybka, Piotr 11 Valdinoci, Enrico 9 Braides, Andrea 9 Friedrich, Manuel 9 Masnou, Simon 8 Bretin, Elie 8 Colucci, Renato 8 Gilboa, Guy 8 Morini, Massimiliano 7 Conti, Sergio 7 Crismale, Vito 7 Focardi, Matteo 6 Barrios Barrera, Begoña 6 Della Pietra, Francesco 6 Esedoglu, Selim 6 Fusco, Giorgio 6 Gavitone, Nunzia 6 Iurlano, Flaviana 6 Jerrard, Robert Leon 6 Oudet, Edouard 6 Presutti, Errico 6 Röger, Matthias 6 Solombrino, Francesco 5 Cozzi, Matteo 5 Fonseca, Irene 5 Fusco, Nicola 5 Gobbino, Massimo 5 Leoni, Giovanni 5 Negri, Matteo 5 Orlandi, Giandomenico 5 Otto, Felix 5 Shirakawa, Ken 5 Slepčev, Dejan 5 Tesei, Alberto 4 Ambrosio, Luigi 4 Bach, Annika 4 Bourdin, Blaise 4 Burger, Martin 4 Carlen, Eric Anders 4 Castelli, Roberto 4 Dal Maso, Gianni 4 Dipierro, Serena 4 Feng, Xiaobing 4 Francfort, Gilles A. 4 Garcke, Harald 4 Kholmatov, Shokhrukh Yusufovich 4 Kim, Inwon Christina 4 Leonardi, Gian Paolo 4 Mariani, Mauro 4 Moll, Salvador 4 Moradifam, Amir 4 Mucha, Piotr Bogusław 4 Mugnai, Luca 4 Ponsiglione, Marcello 4 Pozzi, Paola 4 Prohl, Andreas 4 Scheven, Christoph 4 Segura de León, Sergio 4 Yan, Baisheng 4 Zhang, Kewei 3 Alberti, Giovanni 3 Baldi, Pietro 3 Bellido, José Carlos 3 Bertini, Lorenzo Bertini 3 Bögelein, Verena 3 Bonafini, Mauro 3 Caraballo, David G. 3 Caraballo Garrido, Tomás 3 Carlier, Guillaume 3 Cassandro, Marzio 3 Chacón, Gerardo R. 3 Chen, Xinfu 3 Ciraolo, Giulio 3 Dayrens, François 3 Duzaar, Frank 3 Esposito, Luca 3 Esposito, Raffaele 3 Fornasier, Massimo 3 Ghisi, Marina 3 Giga, Mi-Ho 3 Górny, Wojciech 3 Haus, Emanuele 3 Helmers, Michael 3 Jacobs, Matthew 3 Kim, Seonghak 3 Lebowitz, Joel Louis 3 Mantegazza, Carlo 3 March, Riccardo 3 Marigo, Jean-Jacques 3 Marra, Rossana 3 Merlet, Benoît 3 Miranda, Michele jun. 3 Miura, Tatsuya 3 Möller, Michael ...and 745 more Authors all top 5 Cited in 173 Serials 46 Calculus of Variations and Partial Differential Equations 37 Archive for Rational Mechanics and Analysis 32 Journal of Differential Equations 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 14 Journal of Mathematical Analysis and Applications 14 SIAM Journal on Mathematical Analysis 12 Journal of Computational Physics 12 Journal of Statistical Physics 11 Journal of Functional Analysis 11 Discrete and Continuous Dynamical Systems 11 SIAM Journal on Imaging Sciences 10 Mathematische Annalen 10 Interfaces and Free Boundaries 9 Communications on Pure and Applied Mathematics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 8 The Journal of Geometric Analysis 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Journal of Mathematical Imaging and Vision 8 NoDEA. Nonlinear Differential Equations and Applications 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Advances in Calculus of Variations 7 Communications in Partial Differential Equations 6 Communications in Mathematical Physics 5 Computer Methods in Applied Mechanics and Engineering 5 Inverse Problems 5 Mathematical Methods in the Applied Sciences 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Rendiconti del Seminario Matematico della Università di Padova 5 Transactions of the American Mathematical Society 5 Japan Journal of Industrial and Applied Mathematics 5 Geometric Flows 4 Journal of Mathematical Physics 4 Advances in Mathematics 4 Numerical Functional Analysis and Optimization 4 Numerische Mathematik 4 Proceedings of the American Mathematical Society 4 SIAM Journal on Numerical Analysis 4 Physica D 4 Journal of Scientific Computing 4 Journal of the European Mathematical Society (JEMS) 4 Communications in Contemporary Mathematics 4 Nonlinear Analysis. Real World Applications 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Applicable Analysis 3 Journal of the Mechanics and Physics of Solids 3 Nonlinearity 3 Calcolo 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Nachrichten 3 Acta Applicandae Mathematicae 3 Probability Theory and Related Fields 3 European Journal of Applied Mathematics 3 Applications of Mathematics 3 Journal of Elasticity 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Scientific Computing 3 Applied and Computational Harmonic Analysis 3 Communications on Pure and Applied Analysis 3 Journal of Hyperbolic Differential Equations 3 Analysis and Geometry in Metric Spaces 2 Advances in Applied Probability 2 Computers & Mathematics with Applications 2 Mathematical Biosciences 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 Indiana University Mathematics Journal 2 Journal of Computational and Applied Mathematics 2 Revista Matemática Iberoamericana 2 Computational Mechanics 2 Applied Mathematics Letters 2 The Annals of Applied Probability 2 SIAM Journal on Applied Mathematics 2 Topological Methods in Nonlinear Analysis 2 Journal of Convex Analysis 2 Mathematics and Mechanics of Solids 2 Abstract and Applied Analysis 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Annales Henri Poincaré 2 Advanced Nonlinear Studies 2 Milan Journal of Mathematics 2 International Journal of Fracture 2 Inverse Problems and Imaging 2 Discrete and Continuous Dynamical Systems. Series S 2 Science China. Mathematics 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Advances in Nonlinear Analysis 1 General Relativity and Gravitation 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Ukrainian Mathematical Journal 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 BIT 1 Computing ...and 73 more Serials all top 5 Cited in 49 Fields 356 Partial differential equations (35-XX) 270 Calculus of variations and optimal control; optimization (49-XX) 114 Differential geometry (53-XX) 113 Mechanics of deformable solids (74-XX) 97 Numerical analysis (65-XX) 57 Statistical mechanics, structure of matter (82-XX) 48 Computer science (68-XX) 48 Information and communication theory, circuits (94-XX) 36 Real functions (26-XX) 34 Probability theory and stochastic processes (60-XX) 29 Fluid mechanics (76-XX) 26 Global analysis, analysis on manifolds (58-XX) 21 Operator theory (47-XX) 18 Functional analysis (46-XX) 18 Biology and other natural sciences (92-XX) 16 Measure and integration (28-XX) 15 Convex and discrete geometry (52-XX) 13 Mechanics of particles and systems (70-XX) 12 Integral equations (45-XX) 12 Statistics (62-XX) 9 Ordinary differential equations (34-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Operations research, mathematical programming (90-XX) 5 Relativity and gravitational theory (83-XX) 4 Geometry (51-XX) 4 Manifolds and cell complexes (57-XX) 4 Systems theory; control (93-XX) 3 Combinatorics (05-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Optics, electromagnetic theory (78-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 1 Quantum theory (81-XX) Citations by Year