Edit Profile (opens in new tab) Bellettini, Giovanni Compute Distance To: Compute Author ID: bellettini.giovanni Published as: Bellettini, Giovanni; Bellettini, G.; Belletini, Giovanni; Belletini, G. more...less Homepage: http://www.math.sissa.it/users/giovanni-bellettini External Links: dblp Documents Indexed: 127 Publications since 1990, including 2 Books Co-Authors: 55 Co-Authors with 116 Joint Publications 999 Co-Co-Authors all top 5 Co-Authors 10 single-authored 41 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 Chambolle, Antonin 4 De Masi, Anna 4 Kholmatov, Shokhrukh Yusufovich 4 March, Riccardo 4 Mariani, Mauro 4 Orlandi, Giandomenico 4 Pasquarelli, Franco 3 Alberti, Giovanni 3 Amato, Stefano 3 Coscia, Alessandra 3 Tealdi, Lucia 3 Wang, Yi-Sheng 2 Bertini, Lorenzo Bertini 2 Caselli, Federica 2 Cassandro, Marzio 2 Chermisi, Milena 2 Dal Maso, Gianni 2 Dirr, Nicolas Peter 2 Elshorbagy, Alaa 2 Fragalà, Ilaria 2 Riey, Giuseppe 2 Tornese, C. 2 Venturini, Sergio 1 Baldo, Sisto 1 Bouchitté, Guy 1 Braides, Andrea 1 Buttà, Paolo 1 Colli Franzone, Piero 1 Dacorogna, Bernard 1 Dell’Agnello, Simone 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 Journal of Convex 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 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 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bollettino della Unione Matemàtica Italiana. Serie VII. A 2 Journal of Knot Theory and its Ramifications 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 Bulletin of the Greek 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 Bollettino della Unione Matemàtica Italiana. Serie VII. B 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 62 Calculus of variations and optimal control; optimization (49-XX) 48 Partial differential equations (35-XX) 43 Differential geometry (53-XX) 13 Numerical analysis (65-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 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 Geometry (51-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 112 Publications have been cited 1,148 times in 744 Documents Cited by ▼ Year ▼ The total variation flow in \(\mathbb R^N\). Zbl 1036.35099Bellettini, G.; Caselles, V.; Novaga, M. 97 2002 Anisotropic motion by mean curvature in the context of Finsler geometry. Zbl 0873.53011Bellettini, G.; Paolini, M. 70 1996 A non-local anisotropic model for phase transitions: Asymptotic behaviour of rescaled energies. Zbl 0932.49018Alberti, Giovanni; Bellettini, Giovanni 57 1998 A nonlocal anisotropic model for phase transitions. Zbl 0891.49021Alberti, Giovanni; Bellettini, Giovanni 57 1998 Compactness and lower semicontinuity properties in \(SBD(\Omega)\). Zbl 0914.46007Bellettini, G.; Coscia, A.; Dal Maso, G. 53 1998 A notion of total variation depending on a metric with discontinuous coefficients. Zbl 0842.49016Amar, M.; Bellettini, G. 46 1994 Discrete approximation of a free discontinuity problem. Zbl 0806.49002Bellettini, Giovanni; Coscia, Alessandra 43 1994 Crystalline mean curvature flow of convex sets. Zbl 1148.53049Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 34 2006 On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity. Zbl 0976.58016Bellettini, G.; Novaga, M.; Paolini, M. 27 2001 Lecture notes on mean curvature flow, barriers and singular perturbations. Zbl 1312.53002Bellettini, Giovanni 26 2013 Surface tension in Ising systems with Kac potentials. Zbl 1042.82539Alberti, G.; Bellettini, G.; Cassandro, M.; Presutti, E. 24 1996 Characterization of facet breaking for nonsmooth mean curvature flow in the convex case. Zbl 0989.35127Bellettini, G.; Novaga, M.; Paolini, M. 23 2001 Semicontinuity and relaxation properties of a curvature depending functional in 2D. Zbl 0797.49013Bellettini, G.; Dal Maso, G.; Paolini, M. 22 1993 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 Characterization and representation of the lower semicontinuous envelope of the elastica functional. Zbl 1110.49014Bellettini, G.; Mugnai, L. 19 2004 On a crystalline variational problem. II: \(BV\) regularity and structure of minimizers on facets. Zbl 0976.58017Bellettini, G.; Novaga, M.; Paolini, M. 19 2001 A concept of solution and numerical experiments for forward-backward diffusion equations. Zbl 1105.35007Bellettini, Giovanni; Fusco, Giorgio; Guglielmi, Nicola 19 2006 Facet-breaking for three-dimensional crystals evolving by mean curvature. Zbl 0934.49023Bellettini, G.; Novaga, M.; Paolini, M. 18 1999 The volume preserving crystalline mean curvature flow of convex sets in \(\mathbb R^N\). Zbl 1178.53066Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 18 2009 Some results on surface measures in calculus of variations. Zbl 0890.49020Bellettini, G.; Paolini, M.; Venturini, S. 16 1996 Quasi-optimal error estimates for the mean curvature flow with a forcing term. Zbl 0820.49019Bellettini, G.; Paolini, M. 16 1995 The \(\Gamma \)-limit and the related gradient flow for singular perturbation functionals of Perona-Malik type. Zbl 1191.49010Bellettini, G.; Fusco, G. 15 2008 \(\Gamma\)-entropy cost for scalar conservation laws. Zbl 1191.35172Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo 14 2010 BV functions with respect to a measure and relaxation of metric integral functionals. Zbl 0959.49015Bellettini, Giovanni; Bouchitté, Guy; Fragalà, Ilaria 13 1999 Approximation of Helfrich’s functional via diffuse interfaces. Zbl 1230.49006Bellettini, Giovanni; Mugnai, Luca 13 2010 Global solutions to the gradient flow equation of a nonconvex functional. Zbl 1109.35050Bellettini, G.; Novaga, M.; Paolini, E. 12 2006 Minimal barriers for geometric evolutions. Zbl 0882.35028Bellettini, G.; Novaga, M. 12 1997 Approximation and comparison for nonsmooth anisotropic motion by mean curvature in \(\mathbb{R}^N\). Zbl 1016.53048Bellettini, G.; Novaga, M. 12 2000 A varifolds representation of the relaxed elastica functional. Zbl 1127.49032Bellettini, G.; Mugnai, L. 12 2007 On the approximation of the elastica functional in radial symmetry. Zbl 1086.49009Bellettini, G.; Mugnai, L. 11 2005 Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature. Zbl 0944.53039Bellettini, G.; Paolini, M. 10 1995 Variational approximation of functionals with curvatures and related properties. Zbl 0882.49013Bellettini, G. 10 1997 Curvature evolution of nonconvex lens-shaped domains. Zbl 1237.53063Bellettini, Giovanni; Novaga, Matteo 10 2011 Approximation to driven motion by crystalline curvature in two dimensions. Zbl 0979.53075Bellettini, G.; Goglione, R.; Novaga, M. 9 2000 Singular perturbations of mean curvature flow. Zbl 1119.53043Bellettini, Giovanni; Mantegazza, Carlo; Novaga, Matteo 9 2007 Time-like minimal submanifolds as singular limits of nonlinear wave equations. Zbl 1190.35022Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico 9 2010 Convergence of discrete schemes for the Perona-Malik equation. Zbl 1155.35002Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C. 8 2008 Comparison results between minimal barriers and viscosity solutions for geometric evolutions. Zbl 0904.35041Bellettini, Giovanni; Novaga, Matteo 8 1998 An image segmentation variational model with free discontinuities and contour curvature. Zbl 1044.49009Bellettini, Giovanni; March, Riccardo 8 2004 Closure and convexity results for closed relativistic strings. Zbl 1203.53063Bellettini, Giovanni; Hoppe, Jens; Novaga, Matteo; Orlandi, Giandomenico 8 2010 Crystalline curvature flow of planar networks. Zbl 1103.74017Bellettini, G.; Chermisi, M.; Novaga, M. 8 2006 Convergence of the one-dimensional Cahn-Hilliard equation. Zbl 1277.35197Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo 8 2012 \(\varGamma\)-type estimates for the one-dimensional Allen-Cahn’s action. Zbl 1325.49018Bellettini, Giovanni; Nayam, Al-Hassem; Novaga, Matteo 8 2015 Convergence of front propagation for anisotropic bistable reaction-diffusion equations. Zbl 0902.35052Bellettini, Giovanni; Colli Franzone, Piero; Paolini, Maurizio 7 1997 \(\Gamma\)-convergence and numerical analysis: An application to the minimal partition problem. Zbl 0755.65064Baldo, Sisto; Bellettini, Giovanni 7 1991 \(\Gamma\)-convergence of discrete approximations to interfaces with prescribed mean curvature. Zbl 0721.49038Bellettini, Giovanni; Paolini, Maurizio; Verdi, Claudio 6 1990 An example of three dimensional fatterning for linked space curves evolving by curvature. Zbl 0958.35065Bellettini, Giovanni; Novaga, Matteo; Paolini, Maurizio 6 1998 Two examples of fattening for the curvature flow with a driving force. Zbl 0826.35051Bellettini, Giovanni; Paolini, Maurizio 6 1994 Sharp interface limits for non-local anisotropic interactions. Zbl 0994.82057Bellettini, Giovanni; Buttà, Paolo; Presutti, Errico 6 2001 Energy levels of a nonlocal functional. Zbl 1110.82020Bellettini, G.; De Masi, A.; Presutti, E. 5 2005 Constrained minima of nonlocal free energy functionals. Zbl 1081.82502Bellettini, G.; Cassandro, M.; Presutti, E. 5 1996 Regularization of the two-body problem via smoothing the potential. Zbl 1140.70462Bellettini, G.; Fusco, G.; Gronchi, G. F. 5 2003 Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension. Zbl 1218.35034Bellettini, G.; Novaga, M.; Paolini, M. 5 2011 Classification of equilibria and \(\Gamma \)-convergence for the discrete Perona-Malik functional. Zbl 1210.47082Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C. 5 2009 Constrained BV functions on covering spaces for minimal networks and Plateau’s type problems. Zbl 1366.49044Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio 5 2017 Tunnelling in nonlocal evolution equations. Zbl 1362.45012Bellettini, Giovanni; De Masi, Anna; Presutti, Errico 5 2005 Approximation of a functional depending on jumps and corners. Zbl 0808.49014Bellettini, G.; Coscia, A. 5 1994 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 4 2012 Anisotropic and crystalline mean curvature flow. Zbl 1086.53083Bellettini, Giovanni 4 2004 Some aspects of the dynamic of \(V=H-\overline{H}\). Zbl 0968.53044Belletini, G.; Fusco, G. 4 1999 First variation of anisotropic energies and crystalline mean curvature for partitions. Zbl 1066.49028Bellettini, G.; Riey, G.; Novaga, M. 4 2003 The \(\Gamma\)-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension. Zbl 1287.49013Bellettini, Giovanni; Chambolle, Antonin; Goldman, Michael 4 2014 Variational approximation of anisotropic functionals on partitions. Zbl 1223.49016Bellettini, G.; Braides, A.; Riey, G. 4 2005 Convex approximations of functionals with curvature. Zbl 0754.65066Bellettini, Giovanni; Paolini, Maurizio; Verdi, Claudio 4 1991 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. 3 2007 Anisotropic geometric functionals and gradient flows. Zbl 1189.53063Bellettini, Giovanni; Mugnai, Luca 3 2009 Constraining spacetime torsion with LAGEOS. Zbl 1228.83096March, Riccardo; Bellettini, Giovanni; Tauraso, Roberto; Dell’Agnello, Simone 3 2011 Nonconvex mean curvature flow as a formal singular limit of the nonlinear bidomain model. Zbl 1272.53054Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco 3 2013 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 Minimizing movements for mean curvature flow of partitions. Zbl 1396.53089Bellettini, Giovanni; Kholmatov, Shokhrukh Yu. 3 2018 Minimizing movements for mean curvature flow of droplets with prescribed contact angle. Zbl 1398.49044Bellettini, G.; Kholmatov, Sh. Yu. 3 2018 A regularized Perona-Malik functional: some aspects of the gradient dynamics. Zbl 1108.35078Bellettini, G.; Fusco, G. 3 2005 A conjecture of de Giorgi on the square distance function. Zbl 1125.53004Bellettini, G.; Masala, M.; Novaga, M. 3 2007 Shape reconstruction from apparent contours. Theory and algorithms. Zbl 1405.57001Bellettini, Giovanni; Beorchia, Valentina; Paolini, Maurizio; Pasquarelli, Franco 3 2015 Variational properties of an image segmentation functional depending on contours curvature. Zbl 0853.49014Bellettini, G.; Paolini, M. 3 1995 An almost everywhere regularity result for minimal partitions. Zbl 0699.49042Bellettini, Giovanni 2 1990 Eventual regularity for the parabolic minimal surface equation. Zbl 1334.35093Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico 2 2015 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 Some aspects of the variational nature of mean curvature flow. Zbl 1155.49007Bellettini, Giovanni; Mugnai, Luca 2 2008 Anisotropic mean curvature on facets and relations with capillarity. Zbl 1386.74109Amato, Stefano; Bellettini, Giovanni; Tealdi, Lucia 2 2015 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. 2 2000 Barriers for a class of geometric evolution problems. Zbl 0990.35070Bellettini, Giovanni; Novaga, Matteo 2 1997 Integral representation of functionals defined on curves of \(W^{1,p}\). Zbl 0917.46025Amar, Micol; Bellettini, Giovanni; Venturini, Sergio 2 1998 Front-tracking and variational methods to approximate interfaces with prescribed mean curvature. Zbl 0754.65065Bellettini, G.; Paolini, M.; Verdi, C. 2 1991 Convergence of a semidiscrete scheme for a forward-backward parabolic equation. Zbl 1307.65118Bellettini, Giovanni; Geldhauser, Carina; Novaga, Matteo 2 2013 Covers, soap films and BV functions. Zbl 1393.49030Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco; Scianna, Giuseppe 2 2018 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 Quasi-potentials of the entropy functionals for scalar conservation laws. Zbl 1180.49046Bellettini, Giovanni; Caselli, Federica; Mariani, Mauro 2 2010 Numerical simulations of measurements of capillary contact angles. Zbl 0851.76010Bellettini, G.; Paolini, M. 2 1996 The nonlinear multidomain model: a new formal asymptotic analysis. Zbl 1304.35048Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio 2 2013 Asymptotic properties of the Nitzberg-Mumford variational model for segmentation with depth. Zbl 1112.49037Bellettini, Giovanni; March, Riccardo 1 2007 On facet breaking for crystalline mean curvature flow in 3D. Zbl 1104.53063Bellettini, G. 1 2004 A result on motion by mean curvature in arbitrary codimension. Zbl 0959.35085Bellettini, G.; Novaga, M. 1 1999 The dynamics of \(V=H-\overline{H}\): Motion of a small drop on a fixed surface. Zbl 0962.35090Belletini, Giovanni; Fusco, Giorgio 1 1998 Stable dynamics of spikes in solutions to a system of reaction-diffusion equations. II. Zbl 1029.35129Bellettini, Giovanni; Fusco, Giorgio 1 2003 Some results on minimal barriers for geometric movements of sets. Zbl 0893.35043Bellettini, G. 1 1997 Some applications of the least squares method to differential equations and related problems. Zbl 1178.65079Bellettini, Giovanni; Caselli, Federica; Mariani, Mauro 1 2009 Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities. Zbl 1471.53071Bellettini, Giovanni; Chambolle, Antonin; Kholmatov, Shokhrukh 1 2021 A complete invariant for connected surfaces in the 3-sphere. Zbl 1439.57041Bellettini, Giovanni; Paolini, Maurizio; Wang, Yi-Sheng 1 2020 Minimizing movements for mean curvature flow of partitions. Zbl 1396.53089Bellettini, Giovanni; Kholmatov, Shokhrukh Yu. 3 2018 Minimizing movements for mean curvature flow of droplets with prescribed contact angle. Zbl 1398.49044Bellettini, G.; Kholmatov, Sh. Yu. 3 2018 Covers, soap films and BV functions. Zbl 1393.49030Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco; Scianna, Giuseppe 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 Constrained BV functions on covering spaces for minimal networks and Plateau’s type problems. Zbl 1366.49044Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio 5 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 8 2015 Shape reconstruction from apparent contours. Theory and algorithms. Zbl 1405.57001Bellettini, Giovanni; Beorchia, Valentina; Paolini, Maurizio; Pasquarelli, Franco 3 2015 Eventual regularity for the parabolic minimal surface equation. Zbl 1334.35093Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico 2 2015 Anisotropic mean curvature on facets and relations with capillarity. Zbl 1386.74109Amato, Stefano; Bellettini, Giovanni; Tealdi, Lucia 2 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 26 2013 Nonconvex mean curvature flow as a formal singular limit of the nonlinear bidomain model. Zbl 1272.53054Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco 3 2013 Convergence of a semidiscrete scheme for a forward-backward parabolic equation. Zbl 1307.65118Bellettini, Giovanni; Geldhauser, Carina; Novaga, Matteo 2 2013 The nonlinear multidomain model: a new formal asymptotic analysis. Zbl 1304.35048Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio 2 2013 Convergence of the one-dimensional Cahn-Hilliard equation. Zbl 1277.35197Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo 8 2012 Lorentzian varifolds and applications to relativistic strings. Zbl 1280.49063Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico 4 2012 Curvature evolution of nonconvex lens-shaped domains. Zbl 1237.53063Bellettini, Giovanni; Novaga, Matteo 10 2011 Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension. Zbl 1218.35034Bellettini, G.; Novaga, M.; Paolini, M. 5 2011 Constraining spacetime torsion with LAGEOS. Zbl 1228.83096March, Riccardo; Bellettini, Giovanni; Tauraso, Roberto; Dell’Agnello, Simone 3 2011 \(\Gamma\)-entropy cost for scalar conservation laws. Zbl 1191.35172Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo 14 2010 Approximation of Helfrich’s functional via diffuse interfaces. Zbl 1230.49006Bellettini, Giovanni; Mugnai, Luca 13 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 18 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. 15 2008 Convergence of discrete schemes for the Perona-Malik equation. Zbl 1155.35002Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C. 8 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. 12 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. 3 2007 A conjecture of de Giorgi on the square distance function. Zbl 1125.53004Bellettini, G.; Masala, M.; Novaga, M. 3 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 34 2006 A concept of solution and numerical experiments for forward-backward diffusion equations. Zbl 1105.35007Bellettini, Giovanni; Fusco, Giorgio; Guglielmi, Nicola 19 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. 8 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. 11 2005 Energy levels of a nonlocal functional. Zbl 1110.82020Bellettini, G.; De Masi, A.; Presutti, E. 5 2005 Tunnelling in nonlocal evolution equations. Zbl 1362.45012Bellettini, Giovanni; De Masi, Anna; Presutti, Errico 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. 19 2004 An image segmentation variational model with free discontinuities and contour curvature. Zbl 1044.49009Bellettini, Giovanni; March, Riccardo 8 2004 Anisotropic and crystalline mean curvature flow. Zbl 1086.53083Bellettini, Giovanni 4 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. 4 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. 97 2002 On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity. Zbl 0976.58016Bellettini, G.; Novaga, M.; Paolini, M. 27 2001 Characterization of facet breaking for nonsmooth mean curvature flow in the convex case. Zbl 0989.35127Bellettini, G.; Novaga, M.; Paolini, M. 23 2001 On a crystalline variational problem. II: \(BV\) regularity and structure of minimizers on facets. Zbl 0976.58017Bellettini, G.; Novaga, M.; Paolini, M. 19 2001 Sharp interface limits for non-local anisotropic interactions. Zbl 0994.82057Bellettini, Giovanni; Buttà, Paolo; Presutti, Errico 6 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. 9 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. 2 2000 Facet-breaking for three-dimensional crystals evolving by mean curvature. Zbl 0934.49023Bellettini, G.; Novaga, M.; Paolini, M. 18 1999 BV functions with respect to a measure and relaxation of metric integral functionals. Zbl 0959.49015Bellettini, Giovanni; Bouchitté, Guy; Fragalà, Ilaria 13 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 57 1998 A nonlocal anisotropic model for phase transitions. Zbl 0891.49021Alberti, Giovanni; Bellettini, Giovanni 57 1998 Compactness and lower semicontinuity properties in \(SBD(\Omega)\). Zbl 0914.46007Bellettini, G.; Coscia, A.; Dal Maso, G. 53 1998 Comparison results between minimal barriers and viscosity solutions for geometric evolutions. Zbl 0904.35041Bellettini, Giovanni; Novaga, Matteo 8 1998 An example of three dimensional fatterning for linked space curves evolving by curvature. Zbl 0958.35065Bellettini, Giovanni; Novaga, Matteo; Paolini, Maurizio 6 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. 10 1997 Convergence of front propagation for anisotropic bistable reaction-diffusion equations. Zbl 0902.35052Bellettini, Giovanni; Colli Franzone, Piero; Paolini, Maurizio 7 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. 70 1996 Surface tension in Ising systems with Kac potentials. Zbl 1042.82539Alberti, G.; Bellettini, G.; Cassandro, M.; Presutti, E. 24 1996 Some results on surface measures in calculus of variations. Zbl 0890.49020Bellettini, G.; Paolini, M.; Venturini, S. 16 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. 16 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. 10 1995 Variational properties of an image segmentation functional depending on contours curvature. Zbl 0853.49014Bellettini, G.; Paolini, M. 3 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. 46 1994 Discrete approximation of a free discontinuity problem. Zbl 0806.49002Bellettini, Giovanni; Coscia, Alessandra 43 1994 Two examples of fattening for the curvature flow with a driving force. Zbl 0826.35051Bellettini, Giovanni; Paolini, Maurizio 6 1994 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 913 Authors 48 Novaga, Matteo 42 Bellettini, Giovanni 31 Chambolle, Antonin 19 Paolini, Maurizio 16 Giga, Yoshikazu 13 Valdinoci, Enrico 12 Caselles Costa, Vicent 12 Rybka, Piotr 10 Gilboa, Guy 10 Masnou, Simon 10 Morini, Massimiliano 9 Braides, Andrea 9 Friedrich, Manuel 8 Bretin, Elie 8 Conti, Sergio 8 Crismale, Vito 7 Cesaroni, Annalisa 7 Colucci, Renato 7 Focardi, Matteo 7 Gavitone, Nunzia 7 Ponsiglione, Marcello 7 Röger, Matthias 6 Barrios Barrera, Begoña 6 Della Pietra, Francesco 6 Dipierro, Serena 6 Esedoglu, Selim 6 Fusco, Giorgio 6 Fusco, Nicola 6 Iurlano, Flaviana 6 Jerrard, Robert Leon 6 Orlandi, Giandomenico 6 Oudet, Edouard 6 Presutti, Errico 6 Solombrino, Francesco 5 Cozzi, Matteo 5 Fonseca, Irene 5 Gobbino, Massimo 5 Kholmatov, Shokhrukh Yusufovich 5 Leonardi, Gian Paolo 5 Leoni, Giovanni 5 Negri, Matteo 5 Otto, Felix 5 Pozzi, Paola 5 Shirakawa, Ken 5 Slepčev, Dejan 5 Tesei, Alberto 4 Ambrosio, Luigi 4 Bach, Annika 4 Bonafini, Mauro 4 Bourdin, Blaise 4 Burger, Martin 4 Carlen, Eric Anders 4 Castelli, Roberto 4 Ciraolo, Giulio 4 Dal Maso, Gianni 4 Feng, Xiaobing 4 Francfort, Gilles A. 4 Garcke, Harald 4 Giga, Mi-Ho 4 Kim, Inwon Christina 4 Kröner, Heiko 4 Lamy, Xavier 4 March, Riccardo 4 Marconi, Elio 4 Moll, Salvador 4 Moradifam, Amir 4 Mucha, Piotr Bogusław 4 Mugnai, Luca 4 Ortiz, Michael 4 Pagliari, Valerio 4 Pluda, Alessandra 4 Prohl, Andreas 4 Scheven, Christoph 4 Segura de León, Sergio 4 Tonegawa, Yoshihiro 4 Yan, Baisheng 4 Zhang, Kewei 3 Alberti, Giovanni 3 Baldi, Pietro 3 Bellido, José Carlos 3 Bertini, Lorenzo Bertini 3 Bögelein, Verena 3 Caraballo, David G. 3 Caraballo Garrido, Tomás 3 Carlier, Guillaume 3 Cassandro, Marzio 3 Chacón, Gerardo R. 3 Chen, Xinfu 3 Citti, Giovanna 3 Colli Franzone, Piero 3 Dapogny, Charles 3 Dayrens, François 3 Di Blasio, Giuseppina 3 Duzaar, Frank 3 Esposito, Luca 3 Esposito, Raffaele 3 Farkas, Csaba 3 Fornasier, Massimo 3 Ghisi, Marina 3 Górny, Wojciech ...and 813 more Authors all top 5 Cited in 185 Serials 49 Calculus of Variations and Partial Differential Equations 40 Archive for Rational Mechanics and Analysis 34 Journal of Differential Equations 32 Nonlinear Analysis. 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Series S 3 Analysis and Geometry in Metric Spaces 3 SN Partial Differential Equations and Applications 2 Advances in Applied Probability 2 Computers & Mathematics with Applications 2 Mathematical Biosciences 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 Annales de l’Institut Fourier 2 Archiv der Mathematik 2 Journal of Computational and Applied Mathematics 2 Manuscripta Mathematica 2 Revista Matemática Iberoamericana 2 Applied Mathematics Letters 2 The Annals of Applied Probability 2 SIAM Journal on Applied Mathematics 2 Journal of Knot Theory and its Ramifications 2 Topological Methods in Nonlinear Analysis 2 International Journal of Computer Vision 2 Bulletin des Sciences Mathématiques 2 Mathematics and Mechanics of Solids 2 Abstract and Applied Analysis 2 M2AN. Mathematical Modelling and Numerical Analysis. 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Analysis and Computations 2 Advances in Nonlinear Analysis 2 Journal of Function Spaces 1 Classical and Quantum Gravity ...and 85 more Serials all top 5 Cited in 49 Fields 401 Partial differential equations (35-XX) 295 Calculus of variations and optimal control; optimization (49-XX) 136 Differential geometry (53-XX) 127 Mechanics of deformable solids (74-XX) 110 Numerical analysis (65-XX) 60 Statistical mechanics, structure of matter (82-XX) 57 Information and communication theory, circuits (94-XX) 55 Computer science (68-XX) 41 Real functions (26-XX) 35 Probability theory and stochastic processes (60-XX) 34 Fluid mechanics (76-XX) 30 Global analysis, analysis on manifolds (58-XX) 24 Operator theory (47-XX) 22 Functional analysis (46-XX) 21 Biology and other natural sciences (92-XX) 18 Measure and integration (28-XX) 16 Convex and discrete geometry (52-XX) 14 Mechanics of particles and systems (70-XX) 12 Integral equations (45-XX) 12 Statistics (62-XX) 11 Ordinary differential equations (34-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Operations research, mathematical programming (90-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Manifolds and cell complexes (57-XX) 6 Relativity and gravitational theory (83-XX) 5 Functions of a complex variable (30-XX) 5 Geometry (51-XX) 4 Approximations and expansions (41-XX) 4 Optics, electromagnetic theory (78-XX) 3 Combinatorics (05-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Topological groups, Lie groups (22-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 Abstract harmonic analysis (43-XX) Citations by Year