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Bellettini, Giovanni

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Author ID: bellettini.giovanni Recent zbMATH articles by "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

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

Publications by Year

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 1036.35099
Bellettini, G.; Caselles, V.; Novaga, M.
87
2002
Anisotropic motion by mean curvature in the context of Finsler geometry. Zbl 0873.53011
Bellettini, G.; Paolini, M.
58
1996
A non-local anisotropic model for phase transitions: Asymptotic behaviour of rescaled energies. Zbl 0932.49018
Alberti, Giovanni; Bellettini, Giovanni
51
1998
Compactness and lower semicontinuity properties in \(SBD(\Omega)\). Zbl 0914.46007
Bellettini, G.; Coscia, A.; Dal Maso, G.
50
1998
A nonlocal anisotropic model for phase transitions. Zbl 0891.49021
Alberti, Giovanni; Bellettini, Giovanni
49
1998
A notion of total variation depending on a metric with discontinuous coefficients. Zbl 0842.49016
Amar, M.; Bellettini, G.
40
1994
Discrete approximation of a free discontinuity problem. Zbl 0806.49002
Bellettini, Giovanni; Coscia, Alessandra
40
1994
Crystalline mean curvature flow of convex sets. Zbl 1148.53049
Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
28
2006
On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity. Zbl 0976.58016
Bellettini, G.; Novaga, M.; Paolini, M.
24
2001
Surface tension in Ising systems with Kac potentials. Zbl 1042.82539
Alberti, G.; Bellettini, G.; Cassandro, M.; Presutti, E.
23
1996
Lecture notes on mean curvature flow, barriers and singular perturbations. Zbl 1312.53002
Bellettini, Giovanni
21
2013
Characterization of facet breaking for nonsmooth mean curvature flow in the convex case. Zbl 0989.35127
Bellettini, G.; Novaga, M.; Paolini, M.
21
2001
A concept of solution and numerical experiments for forward-backward diffusion equations. Zbl 1105.35007
Bellettini, 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 1162.35379
Bellettini, Giovanni; Caselles, Vicent; Novaga, Matteo
20
2005
Semicontinuity and relaxation properties of a curvature depending functional in 2D. Zbl 0797.49013
Bellettini, 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 1191.49010
Bellettini, G.; Fusco, G.
16
2008
Characterization and representation of the lower semicontinuous envelope of the elastica functional. Zbl 1110.49014
Bellettini, G.; Mugnai, L.
16
2004
On a crystalline variational problem. II: \(BV\) regularity and structure of minimizers on facets. Zbl 0976.58017
Bellettini, G.; Novaga, M.; Paolini, M.
16
2001
Facet-breaking for three-dimensional crystals evolving by mean curvature. Zbl 0934.49023
Bellettini, G.; Novaga, M.; Paolini, M.
16
1999
Some results on surface measures in calculus of variations. Zbl 0890.49020
Bellettini, G.; Paolini, M.; Venturini, S.
15
1996
Quasi-optimal error estimates for the mean curvature flow with a forcing term. Zbl 0820.49019
Bellettini, G.; Paolini, M.
15
1995
The volume preserving crystalline mean curvature flow of convex sets in \(\mathbb R^N\). Zbl 1178.53066
Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
14
2009
Global solutions to the gradient flow equation of a nonconvex functional. Zbl 1109.35050
Bellettini, G.; Novaga, M.; Paolini, E.
12
2006
Approximation and comparison for nonsmooth anisotropic motion by mean curvature in \(\mathbb{R}^N\). Zbl 1016.53048
Bellettini, G.; Novaga, M.
12
2000
Minimal barriers for geometric evolutions. Zbl 0882.35028
Bellettini, G.; Novaga, M.
12
1997
BV functions with respect to a measure and relaxation of metric integral functionals. Zbl 0959.49015
Bellettini, Giovanni; Bouchitté, Guy; Fragalà, Ilaria
11
1999
Approximation of Helfrich’s functional via diffuse interfaces. Zbl 1230.49006
Bellettini, Giovanni; Mugnai, Luca
10
2010
\(\Gamma\)-entropy cost for scalar conservation laws. Zbl 1191.35172
Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo
10
2010
Time-like minimal submanifolds as singular limits of nonlinear wave equations. Zbl 1190.35022
Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico
9
2010
A varifolds representation of the relaxed elastica functional. Zbl 1127.49032
Bellettini, G.; Mugnai, L.
9
2007
Singular perturbations of mean curvature flow. Zbl 1119.53043
Bellettini, Giovanni; Mantegazza, Carlo; Novaga, Matteo
9
2007
On the approximation of the elastica functional in radial symmetry. Zbl 1086.49009
Bellettini, G.; Mugnai, L.
9
2005
Closure and convexity results for closed relativistic strings. Zbl 1203.53063
Bellettini, Giovanni; Hoppe, Jens; Novaga, Matteo; Orlandi, Giandomenico
8
2010
Approximation to driven motion by crystalline curvature in two dimensions. Zbl 0979.53075
Bellettini, G.; Goglione, R.; Novaga, M.
8
2000
Variational approximation of functionals with curvatures and related properties. Zbl 0882.49013
Bellettini, G.
8
1997
\(\varGamma\)-type estimates for the one-dimensional Allen-Cahn’s action. Zbl 1325.49018
Bellettini, Giovanni; Nayam, Al-Hassem; Novaga, Matteo
7
2015
Convergence of the one-dimensional Cahn-Hilliard equation. Zbl 1277.35197
Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo
7
2012
Curvature evolution of nonconvex lens-shaped domains. Zbl 1237.53063
Bellettini, Giovanni; Novaga, Matteo
7
2011
Convergence of discrete schemes for the Perona-Malik equation. Zbl 1155.35002
Bellettini, 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 0944.53039
Bellettini, G.; Paolini, M.
7
1995
\(\Gamma\)-convergence and numerical analysis: An application to the minimal partition problem. Zbl 0755.65064
Baldo, Sisto; Bellettini, Giovanni
7
1991
Crystalline curvature flow of planar networks. Zbl 1103.74017
Bellettini, G.; Chermisi, M.; Novaga, M.
6
2006
An image segmentation variational model with free discontinuities and contour curvature. Zbl 1044.49009
Bellettini, Giovanni; March, Riccardo
6
2004
Convergence of front propagation for anisotropic bistable reaction-diffusion equations. Zbl 0902.35052
Bellettini, Giovanni; Colli Franzone, Piero; Paolini, Maurizio
6
1997
Two examples of fattening for the curvature flow with a driving force. Zbl 0826.35051
Bellettini, Giovanni; Paolini, Maurizio
6
1994
\(\Gamma\)-convergence of discrete approximations to interfaces with prescribed mean curvature. Zbl 0721.49038
Bellettini, Giovanni; Paolini, Maurizio; Verdi, Claudio
6
1990
Classification of equilibria and \(\Gamma \)-convergence for the discrete Perona-Malik functional. Zbl 1210.47082
Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C.
5
2009
Tunnelling in nonlocal evolution equations. Zbl 1362.45012
Bellettini, Giovanni; De Masi, Anna; Presutti, Errico
5
2005
Energy levels of a nonlocal functional. Zbl 1110.82020
Bellettini, G.; De Masi, A.; Presutti, E.
5
2005
Regularization of the two-body problem via smoothing the potential. Zbl 1140.70462
Bellettini, G.; Fusco, G.; Gronchi, G. F.
5
2003
Sharp interface limits for non-local anisotropic interactions. Zbl 0994.82057
Bellettini, Giovanni; Buttà, Paolo; Presutti, Errico
5
2001
An example of three dimensional fatterning for linked space curves evolving by curvature. Zbl 0958.35065
Bellettini, Giovanni; Novaga, Matteo; Paolini, Maurizio
5
1998
Comparison results between minimal barriers and viscosity solutions for geometric evolutions. Zbl 0904.35041
Bellettini, Giovanni; Novaga, Matteo
5
1998
Constrained minima of nonlocal free energy functionals. Zbl 1081.82502
Bellettini, G.; Cassandro, M.; Presutti, E.
5
1996
Approximation of a functional depending on jumps and corners. Zbl 0808.49014
Bellettini, G.; Coscia, A.
5
1994
Constrained BV functions on covering spaces for minimal networks and Plateau’s type problems. Zbl 1366.49044
Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio
4
2017
The \(\Gamma\)-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension. Zbl 1287.49013
Bellettini, Giovanni; Chambolle, Antonin; Goldman, Michael
4
2014
Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension. Zbl 1218.35034
Bellettini, G.; Novaga, M.; Paolini, M.
4
2011
Variational approximation of anisotropic functionals on partitions. Zbl 1223.49016
Bellettini, G.; Braides, A.; Riey, G.
4
2005
Some aspects of the dynamic of \(V=H-\overline{H}\). Zbl 0968.53044
Belletini, G.; Fusco, G.
4
1999
Convex approximations of functionals with curvature. Zbl 0754.65066
Bellettini, Giovanni; Paolini, Maurizio; Verdi, Claudio
4
1991
Numerical minimization of geometrical type problems related to calculus of variations. Zbl 0733.49039
Bellettini, G.; Paolini, M.; Verdi, C.
4
1990
Lorentzian varifolds and applications to relativistic strings. Zbl 1280.49063
Bellettini, 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 1200.49010
Bellettini, Giovanni; Paolini, Maurizio
3
2010
Anisotropic geometric functionals and gradient flows. Zbl 1189.53063
Bellettini, Giovanni; Mugnai, Luca
3
2009
Tunneling in two dimensions. Zbl 1117.82006
Bellettini, G.; De Masi, A.; Dirr, N.; Presutti, E.
3
2007
A regularized Perona-Malik functional: some aspects of the gradient dynamics. Zbl 1108.35078
Bellettini, G.; Fusco, G.
3
2005
Anisotropic and crystalline mean curvature flow. Zbl 1086.53083
Bellettini, Giovanni
3
2004
Minimizing movements for mean curvature flow of droplets with prescribed contact angle. Zbl 1398.49044
Bellettini, G.; Kholmatov, Sh. Yu.
2
2018
Minimizing movements for mean curvature flow of partitions. Zbl 1396.53089
Bellettini, 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 1338.49023
Bellettini, Giovanni; Paolini, Maurizio; Tealdi, Lucia
2
2016
Eventual regularity for the parabolic minimal surface equation. Zbl 1334.35093
Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico
2
2015
Shape reconstruction from apparent contours. Theory and algorithms. Zbl 1405.57001
Bellettini, Giovanni; Beorchia, Valentina; Paolini, Maurizio; Pasquarelli, Franco
2
2015
Nonconvex mean curvature flow as a formal singular limit of the nonlinear bidomain model. Zbl 1272.53054
Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco
2
2013
Constraining spacetime torsion with LAGEOS. Zbl 1228.83096
March, Riccardo; Bellettini, Giovanni; Tauraso, Roberto; Dell’Agnello, Simone
2
2011
Quasi-potentials of the entropy functionals for scalar conservation laws. Zbl 1180.49046
Bellettini, Giovanni; Caselli, Federica; Mariani, Mauro
2
2010
Some aspects of the variational nature of mean curvature flow. Zbl 1155.49007
Bellettini, Giovanni; Mugnai, Luca
2
2008
The level set method for systems of PDEs. Zbl 1132.35051
Bellettini, G.; Chermisi, M.; Novaga, M.
2
2007
A conjecture of de Giorgi on the square distance function. Zbl 1125.53004
Bellettini, G.; Masala, M.; Novaga, M.
2
2007
Deterministic equivalent for the Allen-Cahn energy of a scaling law in the Ising model. Zbl 1097.82005
Bellettini, G.; Gelli, M. S.; Luckhaus, S.; Novaga, M.
2
2006
First variation of anisotropic energies and crystalline mean curvature for partitions. Zbl 1066.49028
Bellettini, G.; Riey, G.; Novaga, M.
2
2003
Elliptic approximations of prescribed mean curvature surfaces in Finsler geometry. Zbl 0976.53080
Bellettini, Giovanni; Fragalà, Ilaria
2
2000
Integral representation of functionals defined on curves of \(W^{1,p}\). Zbl 0917.46025
Amar, Micol; Bellettini, Giovanni; Venturini, Sergio
2
1998
Barriers for a class of geometric evolution problems. Zbl 0990.35070
Bellettini, Giovanni; Novaga, Matteo
2
1997
Numerical simulations of measurements of capillary contact angles. Zbl 0851.76010
Bellettini, G.; Paolini, M.
2
1996
Variational properties of an image segmentation functional depending on contours curvature. Zbl 0853.49014
Bellettini, G.; Paolini, M.
2
1995
Front-tracking and variational methods to approximate interfaces with prescribed mean curvature. Zbl 0754.65065
Bellettini, G.; Paolini, M.; Verdi, C.
2
1991
An almost everywhere regularity result for minimal partitions. Zbl 0699.49042
Bellettini, Giovanni
2
1990
Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone. Zbl 1417.49053
Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco
1
2018
Covers, soap films and BV functions. Zbl 1393.49030
Bellettini, 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 1352.49007
Bellettini, Giovanni; Paolini, Maurizio; Tealdi, Lucia
1
2016
Anisotropic mean curvature on facets and relations with capillarity. Zbl 1386.74109
Amato, Stefano; Bellettini, Giovanni; Tealdi, Lucia
1
2015
The nonlinear multidomain model: a new formal asymptotic analysis. Zbl 1304.35048
Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio
1
2013
Convergence of a semidiscrete scheme for a forward-backward parabolic equation. Zbl 1307.65118
Bellettini, Giovanni; Geldhauser, Carina; Novaga, Matteo
1
2013
Variational convergence of multidimensional conservation laws. Zbl 1393.35128
Bellettini, G.; Mariani, M.
1
2010
Some applications of the least squares method to differential equations and related problems. Zbl 1178.65079
Bellettini, Giovanni; Caselli, Federica; Mariani, Mauro
1
2009
Asymptotic properties of the Nitzberg-Mumford variational model for segmentation with depth. Zbl 1112.49037
Bellettini, Giovanni; March, Riccardo
1
2007
Qualitative properties of Lipschitz solutions of eikonal type systems. Zbl 1115.35015
Bellettini, Giovanni; Dacorogna, Bernard; Fusco, Giorgio; Leonetti, Francesco
1
2006
On facet breaking for crystalline mean curvature flow in 3D. Zbl 1104.53063
Bellettini, G.
1
2004
Stable dynamics of spikes in solutions to a system of reaction-diffusion equations. II. Zbl 1029.35129
Bellettini, Giovanni; Fusco, Giorgio
1
2003
Minimizing movements for mean curvature flow of droplets with prescribed contact angle. Zbl 1398.49044
Bellettini, G.; Kholmatov, Sh. Yu.
2
2018
Minimizing movements for mean curvature flow of partitions. Zbl 1396.53089
Bellettini, Giovanni; Kholmatov, Shokhrukh Yu.
2
2018
Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone. Zbl 1417.49053
Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco
1
2018
Covers, soap films and BV functions. Zbl 1393.49030
Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco; Scianna, Giuseppe
1
2018
Constrained BV functions on covering spaces for minimal networks and Plateau’s type problems. Zbl 1366.49044
Amato, 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 1338.49023
Bellettini, 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 1352.49007
Bellettini, Giovanni; Paolini, Maurizio; Tealdi, Lucia
1
2016
\(\varGamma\)-type estimates for the one-dimensional Allen-Cahn’s action. Zbl 1325.49018
Bellettini, Giovanni; Nayam, Al-Hassem; Novaga, Matteo
7
2015
Eventual regularity for the parabolic minimal surface equation. Zbl 1334.35093
Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico
2
2015
Shape reconstruction from apparent contours. Theory and algorithms. Zbl 1405.57001
Bellettini, Giovanni; Beorchia, Valentina; Paolini, Maurizio; Pasquarelli, Franco
2
2015
Anisotropic mean curvature on facets and relations with capillarity. Zbl 1386.74109
Amato, Stefano; Bellettini, Giovanni; Tealdi, Lucia
1
2015
The \(\Gamma\)-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension. Zbl 1287.49013
Bellettini, Giovanni; Chambolle, Antonin; Goldman, Michael
4
2014
Lecture notes on mean curvature flow, barriers and singular perturbations. Zbl 1312.53002
Bellettini, Giovanni
21
2013
Nonconvex mean curvature flow as a formal singular limit of the nonlinear bidomain model. Zbl 1272.53054
Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco
2
2013
The nonlinear multidomain model: a new formal asymptotic analysis. Zbl 1304.35048
Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio
1
2013
Convergence of a semidiscrete scheme for a forward-backward parabolic equation. Zbl 1307.65118
Bellettini, Giovanni; Geldhauser, Carina; Novaga, Matteo
1
2013
Convergence of the one-dimensional Cahn-Hilliard equation. Zbl 1277.35197
Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo
7
2012
Lorentzian varifolds and applications to relativistic strings. Zbl 1280.49063
Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico
3
2012
Curvature evolution of nonconvex lens-shaped domains. Zbl 1237.53063
Bellettini, Giovanni; Novaga, Matteo
7
2011
Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension. Zbl 1218.35034
Bellettini, G.; Novaga, M.; Paolini, M.
4
2011
Constraining spacetime torsion with LAGEOS. Zbl 1228.83096
March, Riccardo; Bellettini, Giovanni; Tauraso, Roberto; Dell’Agnello, Simone
2
2011
Approximation of Helfrich’s functional via diffuse interfaces. Zbl 1230.49006
Bellettini, Giovanni; Mugnai, Luca
10
2010
\(\Gamma\)-entropy cost for scalar conservation laws. Zbl 1191.35172
Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo
10
2010
Time-like minimal submanifolds as singular limits of nonlinear wave equations. Zbl 1190.35022
Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico
9
2010
Closure and convexity results for closed relativistic strings. Zbl 1203.53063
Bellettini, 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 1200.49010
Bellettini, Giovanni; Paolini, Maurizio
3
2010
Quasi-potentials of the entropy functionals for scalar conservation laws. Zbl 1180.49046
Bellettini, Giovanni; Caselli, Federica; Mariani, Mauro
2
2010
Variational convergence of multidimensional conservation laws. Zbl 1393.35128
Bellettini, G.; Mariani, M.
1
2010
The volume preserving crystalline mean curvature flow of convex sets in \(\mathbb R^N\). Zbl 1178.53066
Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
14
2009
Classification of equilibria and \(\Gamma \)-convergence for the discrete Perona-Malik functional. Zbl 1210.47082
Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C.
5
2009
Anisotropic geometric functionals and gradient flows. Zbl 1189.53063
Bellettini, Giovanni; Mugnai, Luca
3
2009
Some applications of the least squares method to differential equations and related problems. Zbl 1178.65079
Bellettini, Giovanni; Caselli, Federica; Mariani, Mauro
1
2009
The \(\Gamma \)-limit and the related gradient flow for singular perturbation functionals of Perona-Malik type. Zbl 1191.49010
Bellettini, G.; Fusco, G.
16
2008
Convergence of discrete schemes for the Perona-Malik equation. Zbl 1155.35002
Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C.
7
2008
Some aspects of the variational nature of mean curvature flow. Zbl 1155.49007
Bellettini, Giovanni; Mugnai, Luca
2
2008
A varifolds representation of the relaxed elastica functional. Zbl 1127.49032
Bellettini, G.; Mugnai, L.
9
2007
Singular perturbations of mean curvature flow. Zbl 1119.53043
Bellettini, Giovanni; Mantegazza, Carlo; Novaga, Matteo
9
2007
Tunneling in two dimensions. Zbl 1117.82006
Bellettini, G.; De Masi, A.; Dirr, N.; Presutti, E.
3
2007
The level set method for systems of PDEs. Zbl 1132.35051
Bellettini, G.; Chermisi, M.; Novaga, M.
2
2007
A conjecture of de Giorgi on the square distance function. Zbl 1125.53004
Bellettini, G.; Masala, M.; Novaga, M.
2
2007
Asymptotic properties of the Nitzberg-Mumford variational model for segmentation with depth. Zbl 1112.49037
Bellettini, Giovanni; March, Riccardo
1
2007
Crystalline mean curvature flow of convex sets. Zbl 1148.53049
Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
28
2006
A concept of solution and numerical experiments for forward-backward diffusion equations. Zbl 1105.35007
Bellettini, Giovanni; Fusco, Giorgio; Guglielmi, Nicola
20
2006
Global solutions to the gradient flow equation of a nonconvex functional. Zbl 1109.35050
Bellettini, G.; Novaga, M.; Paolini, E.
12
2006
Crystalline curvature flow of planar networks. Zbl 1103.74017
Bellettini, G.; Chermisi, M.; Novaga, M.
6
2006
Deterministic equivalent for the Allen-Cahn energy of a scaling law in the Ising model. Zbl 1097.82005
Bellettini, G.; Gelli, M. S.; Luckhaus, S.; Novaga, M.
2
2006
Qualitative properties of Lipschitz solutions of eikonal type systems. Zbl 1115.35015
Bellettini, 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 1162.35379
Bellettini, Giovanni; Caselles, Vicent; Novaga, Matteo
20
2005
On the approximation of the elastica functional in radial symmetry. Zbl 1086.49009
Bellettini, G.; Mugnai, L.
9
2005
Tunnelling in nonlocal evolution equations. Zbl 1362.45012
Bellettini, Giovanni; De Masi, Anna; Presutti, Errico
5
2005
Energy levels of a nonlocal functional. Zbl 1110.82020
Bellettini, G.; De Masi, A.; Presutti, E.
5
2005
Variational approximation of anisotropic functionals on partitions. Zbl 1223.49016
Bellettini, G.; Braides, A.; Riey, G.
4
2005
A regularized Perona-Malik functional: some aspects of the gradient dynamics. Zbl 1108.35078
Bellettini, G.; Fusco, G.
3
2005
Characterization and representation of the lower semicontinuous envelope of the elastica functional. Zbl 1110.49014
Bellettini, G.; Mugnai, L.
16
2004
An image segmentation variational model with free discontinuities and contour curvature. Zbl 1044.49009
Bellettini, Giovanni; March, Riccardo
6
2004
Anisotropic and crystalline mean curvature flow. Zbl 1086.53083
Bellettini, Giovanni
3
2004
On facet breaking for crystalline mean curvature flow in 3D. Zbl 1104.53063
Bellettini, G.
1
2004
Regularization of the two-body problem via smoothing the potential. Zbl 1140.70462
Bellettini, G.; Fusco, G.; Gronchi, G. F.
5
2003
First variation of anisotropic energies and crystalline mean curvature for partitions. Zbl 1066.49028
Bellettini, G.; Riey, G.; Novaga, M.
2
2003
Stable dynamics of spikes in solutions to a system of reaction-diffusion equations. II. Zbl 1029.35129
Bellettini, Giovanni; Fusco, Giorgio
1
2003
The total variation flow in \(\mathbb R^N\). Zbl 1036.35099
Bellettini, G.; Caselles, V.; Novaga, M.
87
2002
On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity. Zbl 0976.58016
Bellettini, G.; Novaga, M.; Paolini, M.
24
2001
Characterization of facet breaking for nonsmooth mean curvature flow in the convex case. Zbl 0989.35127
Bellettini, G.; Novaga, M.; Paolini, M.
21
2001
On a crystalline variational problem. II: \(BV\) regularity and structure of minimizers on facets. Zbl 0976.58017
Bellettini, G.; Novaga, M.; Paolini, M.
16
2001
Sharp interface limits for non-local anisotropic interactions. Zbl 0994.82057
Bellettini, Giovanni; Buttà, Paolo; Presutti, Errico
5
2001
Approximation and comparison for nonsmooth anisotropic motion by mean curvature in \(\mathbb{R}^N\). Zbl 1016.53048
Bellettini, G.; Novaga, M.
12
2000
Approximation to driven motion by crystalline curvature in two dimensions. Zbl 0979.53075
Bellettini, G.; Goglione, R.; Novaga, M.
8
2000
Elliptic approximations of prescribed mean curvature surfaces in Finsler geometry. Zbl 0976.53080
Bellettini, Giovanni; Fragalà, Ilaria
2
2000
Some aspects of De Giorgi’s barriers for geometric evolutions. Zbl 0957.35080
Bellettini, G.; Novaga, M.
1
2000
Facet-breaking for three-dimensional crystals evolving by mean curvature. Zbl 0934.49023
Bellettini, G.; Novaga, M.; Paolini, M.
16
1999
BV functions with respect to a measure and relaxation of metric integral functionals. Zbl 0959.49015
Bellettini, Giovanni; Bouchitté, Guy; Fragalà, Ilaria
11
1999
Some aspects of the dynamic of \(V=H-\overline{H}\). Zbl 0968.53044
Belletini, G.; Fusco, G.
4
1999
A result on motion by mean curvature in arbitrary codimension. Zbl 0959.35085
Bellettini, G.; Novaga, M.
1
1999
A non-local anisotropic model for phase transitions: Asymptotic behaviour of rescaled energies. Zbl 0932.49018
Alberti, Giovanni; Bellettini, Giovanni
51
1998
Compactness and lower semicontinuity properties in \(SBD(\Omega)\). Zbl 0914.46007
Bellettini, G.; Coscia, A.; Dal Maso, G.
50
1998
A nonlocal anisotropic model for phase transitions. Zbl 0891.49021
Alberti, Giovanni; Bellettini, Giovanni
49
1998
An example of three dimensional fatterning for linked space curves evolving by curvature. Zbl 0958.35065
Bellettini, Giovanni; Novaga, Matteo; Paolini, Maurizio
5
1998
Comparison results between minimal barriers and viscosity solutions for geometric evolutions. Zbl 0904.35041
Bellettini, Giovanni; Novaga, Matteo
5
1998
Integral representation of functionals defined on curves of \(W^{1,p}\). Zbl 0917.46025
Amar, Micol; Bellettini, Giovanni; Venturini, Sergio
2
1998
The dynamics of \(V=H-\overline{H}\): Motion of a small drop on a fixed surface. Zbl 0962.35090
Belletini, Giovanni; Fusco, Giorgio
1
1998
Minimal barriers for geometric evolutions. Zbl 0882.35028
Bellettini, G.; Novaga, M.
12
1997
Variational approximation of functionals with curvatures and related properties. Zbl 0882.49013
Bellettini, G.
8
1997
Convergence of front propagation for anisotropic bistable reaction-diffusion equations. Zbl 0902.35052
Bellettini, Giovanni; Colli Franzone, Piero; Paolini, Maurizio
6
1997
Barriers for a class of geometric evolution problems. Zbl 0990.35070
Bellettini, Giovanni; Novaga, Matteo
2
1997
Some results on minimal barriers for geometric movements of sets. Zbl 0893.35043
Bellettini, G.
1
1997
Anisotropic motion by mean curvature in the context of Finsler geometry. Zbl 0873.53011
Bellettini, G.; Paolini, M.
58
1996
Surface tension in Ising systems with Kac potentials. Zbl 1042.82539
Alberti, G.; Bellettini, G.; Cassandro, M.; Presutti, E.
23
1996
Some results on surface measures in calculus of variations. Zbl 0890.49020
Bellettini, G.; Paolini, M.; Venturini, S.
15
1996
Constrained minima of nonlocal free energy functionals. Zbl 1081.82502
Bellettini, G.; Cassandro, M.; Presutti, E.
5
1996
Numerical simulations of measurements of capillary contact angles. Zbl 0851.76010
Bellettini, G.; Paolini, M.
2
1996
Quasi-optimal error estimates for the mean curvature flow with a forcing term. Zbl 0820.49019
Bellettini, G.; Paolini, M.
15
1995
Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature. Zbl 0944.53039
Bellettini, G.; Paolini, M.
7
1995
Variational properties of an image segmentation functional depending on contours curvature. Zbl 0853.49014
Bellettini, G.; Paolini, M.
2
1995
Approximation by \(\Gamma\)-convergence of a total variation with discontinuous coefficients. Zbl 0844.49013
Amar, M.; Bellettini, G.
1
1995
Comparison theorems between different notions of motion by mean curvature. Zbl 0834.35062
Bellettini, Giovanni; Paolini, Maurizio
1
1995
A notion of total variation depending on a metric with discontinuous coefficients. Zbl 0842.49016
Amar, M.; Bellettini, G.
40
1994
Discrete approximation of a free discontinuity problem. Zbl 0806.49002
Bellettini, Giovanni; Coscia, Alessandra
40
1994
Two examples of fattening for the curvature flow with a driving force. Zbl 0826.35051
Bellettini, Giovanni; Paolini, Maurizio
6
1994
Approximation of a functional depending on jumps and corners. Zbl 0808.49014
Bellettini, G.; Coscia, A.
5
1994
Convex approximation of an inhomogeneous anisotropic functional. Zbl 0809.65069
Bellettini, Giovanni; Paolini, Maurizio
1
1994
...and 10 more Documents
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
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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
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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)

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