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Bellettini, Giovanni

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Author ID: bellettini.giovanni Recent zbMATH articles by "Bellettini, Giovanni"
Published as: Bellettini, Giovanni; Bellettini, G.; Belletini, Giovanni; Belletini, G.
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
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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

Publications by Year

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 1036.35099
Bellettini, G.; Caselles, V.; Novaga, M.
97
2002
Anisotropic motion by mean curvature in the context of Finsler geometry. Zbl 0873.53011
Bellettini, G.; Paolini, M.
70
1996
A non-local anisotropic model for phase transitions: Asymptotic behaviour of rescaled energies. Zbl 0932.49018
Alberti, Giovanni; Bellettini, Giovanni
57
1998
A nonlocal anisotropic model for phase transitions. Zbl 0891.49021
Alberti, Giovanni; Bellettini, Giovanni
57
1998
Compactness and lower semicontinuity properties in \(SBD(\Omega)\). Zbl 0914.46007
Bellettini, G.; Coscia, A.; Dal Maso, G.
53
1998
A notion of total variation depending on a metric with discontinuous coefficients. Zbl 0842.49016
Amar, M.; Bellettini, G.
46
1994
Discrete approximation of a free discontinuity problem. Zbl 0806.49002
Bellettini, Giovanni; Coscia, Alessandra
43
1994
Crystalline mean curvature flow of convex sets. Zbl 1148.53049
Bellettini, Giovanni; Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
34
2006
On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity. Zbl 0976.58016
Bellettini, G.; Novaga, M.; Paolini, M.
27
2001
Lecture notes on mean curvature flow, barriers and singular perturbations. Zbl 1312.53002
Bellettini, Giovanni
26
2013
Surface tension in Ising systems with Kac potentials. Zbl 1042.82539
Alberti, G.; Bellettini, G.; Cassandro, M.; Presutti, E.
24
1996
Characterization of facet breaking for nonsmooth mean curvature flow in the convex case. Zbl 0989.35127
Bellettini, G.; Novaga, M.; Paolini, M.
23
2001
Semicontinuity and relaxation properties of a curvature depending functional in 2D. Zbl 0797.49013
Bellettini, 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 1162.35379
Bellettini, Giovanni; Caselles, Vicent; Novaga, Matteo
20
2005
Characterization and representation of the lower semicontinuous envelope of the elastica functional. Zbl 1110.49014
Bellettini, G.; Mugnai, L.
19
2004
On a crystalline variational problem. II: \(BV\) regularity and structure of minimizers on facets. Zbl 0976.58017
Bellettini, G.; Novaga, M.; Paolini, M.
19
2001
A concept of solution and numerical experiments for forward-backward diffusion equations. Zbl 1105.35007
Bellettini, Giovanni; Fusco, Giorgio; Guglielmi, Nicola
19
2006
Facet-breaking for three-dimensional crystals evolving by mean curvature. Zbl 0934.49023
Bellettini, G.; Novaga, M.; Paolini, M.
18
1999
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
18
2009
Some results on surface measures in calculus of variations. Zbl 0890.49020
Bellettini, G.; Paolini, M.; Venturini, S.
16
1996
Quasi-optimal error estimates for the mean curvature flow with a forcing term. Zbl 0820.49019
Bellettini, G.; Paolini, M.
16
1995
The \(\Gamma \)-limit and the related gradient flow for singular perturbation functionals of Perona-Malik type. Zbl 1191.49010
Bellettini, G.; Fusco, G.
15
2008
\(\Gamma\)-entropy cost for scalar conservation laws. Zbl 1191.35172
Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo
14
2010
BV functions with respect to a measure and relaxation of metric integral functionals. Zbl 0959.49015
Bellettini, Giovanni; Bouchitté, Guy; Fragalà, Ilaria
13
1999
Approximation of Helfrich’s functional via diffuse interfaces. Zbl 1230.49006
Bellettini, Giovanni; Mugnai, Luca
13
2010
Global solutions to the gradient flow equation of a nonconvex functional. Zbl 1109.35050
Bellettini, G.; Novaga, M.; Paolini, E.
12
2006
Minimal barriers for geometric evolutions. Zbl 0882.35028
Bellettini, G.; Novaga, M.
12
1997
Approximation and comparison for nonsmooth anisotropic motion by mean curvature in \(\mathbb{R}^N\). Zbl 1016.53048
Bellettini, G.; Novaga, M.
12
2000
A varifolds representation of the relaxed elastica functional. Zbl 1127.49032
Bellettini, G.; Mugnai, L.
12
2007
On the approximation of the elastica functional in radial symmetry. Zbl 1086.49009
Bellettini, G.; Mugnai, L.
11
2005
Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature. Zbl 0944.53039
Bellettini, G.; Paolini, M.
10
1995
Variational approximation of functionals with curvatures and related properties. Zbl 0882.49013
Bellettini, G.
10
1997
Curvature evolution of nonconvex lens-shaped domains. Zbl 1237.53063
Bellettini, Giovanni; Novaga, Matteo
10
2011
Approximation to driven motion by crystalline curvature in two dimensions. Zbl 0979.53075
Bellettini, G.; Goglione, R.; Novaga, M.
9
2000
Singular perturbations of mean curvature flow. Zbl 1119.53043
Bellettini, Giovanni; Mantegazza, Carlo; Novaga, Matteo
9
2007
Time-like minimal submanifolds as singular limits of nonlinear wave equations. Zbl 1190.35022
Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico
9
2010
Convergence of discrete schemes for the Perona-Malik equation. Zbl 1155.35002
Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C.
8
2008
Comparison results between minimal barriers and viscosity solutions for geometric evolutions. Zbl 0904.35041
Bellettini, Giovanni; Novaga, Matteo
8
1998
An image segmentation variational model with free discontinuities and contour curvature. Zbl 1044.49009
Bellettini, Giovanni; March, Riccardo
8
2004
Closure and convexity results for closed relativistic strings. Zbl 1203.53063
Bellettini, Giovanni; Hoppe, Jens; Novaga, Matteo; Orlandi, Giandomenico
8
2010
Crystalline curvature flow of planar networks. Zbl 1103.74017
Bellettini, G.; Chermisi, M.; Novaga, M.
8
2006
Convergence of the one-dimensional Cahn-Hilliard equation. Zbl 1277.35197
Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo
8
2012
\(\varGamma\)-type estimates for the one-dimensional Allen-Cahn’s action. Zbl 1325.49018
Bellettini, Giovanni; Nayam, Al-Hassem; Novaga, Matteo
8
2015
Convergence of front propagation for anisotropic bistable reaction-diffusion equations. Zbl 0902.35052
Bellettini, Giovanni; Colli Franzone, Piero; Paolini, Maurizio
7
1997
\(\Gamma\)-convergence and numerical analysis: An application to the minimal partition problem. Zbl 0755.65064
Baldo, Sisto; Bellettini, Giovanni
7
1991
\(\Gamma\)-convergence of discrete approximations to interfaces with prescribed mean curvature. Zbl 0721.49038
Bellettini, Giovanni; Paolini, Maurizio; Verdi, Claudio
6
1990
An example of three dimensional fatterning for linked space curves evolving by curvature. Zbl 0958.35065
Bellettini, Giovanni; Novaga, Matteo; Paolini, Maurizio
6
1998
Two examples of fattening for the curvature flow with a driving force. Zbl 0826.35051
Bellettini, Giovanni; Paolini, Maurizio
6
1994
Sharp interface limits for non-local anisotropic interactions. Zbl 0994.82057
Bellettini, Giovanni; Buttà, Paolo; Presutti, Errico
6
2001
Energy levels of a nonlocal functional. Zbl 1110.82020
Bellettini, G.; De Masi, A.; Presutti, E.
5
2005
Constrained minima of nonlocal free energy functionals. Zbl 1081.82502
Bellettini, G.; Cassandro, M.; Presutti, E.
5
1996
Regularization of the two-body problem via smoothing the potential. Zbl 1140.70462
Bellettini, G.; Fusco, G.; Gronchi, G. F.
5
2003
Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension. Zbl 1218.35034
Bellettini, G.; Novaga, M.; Paolini, M.
5
2011
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
Constrained BV functions on covering spaces for minimal networks and Plateau’s type problems. Zbl 1366.49044
Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio
5
2017
Tunnelling in nonlocal evolution equations. Zbl 1362.45012
Bellettini, Giovanni; De Masi, Anna; Presutti, Errico
5
2005
Approximation of a functional depending on jumps and corners. Zbl 0808.49014
Bellettini, G.; Coscia, A.
5
1994
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
4
2012
Anisotropic and crystalline mean curvature flow. Zbl 1086.53083
Bellettini, Giovanni
4
2004
Some aspects of the dynamic of \(V=H-\overline{H}\). Zbl 0968.53044
Belletini, G.; Fusco, G.
4
1999
First variation of anisotropic energies and crystalline mean curvature for partitions. Zbl 1066.49028
Bellettini, G.; Riey, G.; Novaga, M.
4
2003
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
Variational approximation of anisotropic functionals on partitions. Zbl 1223.49016
Bellettini, G.; Braides, A.; Riey, G.
4
2005
Convex approximations of functionals with curvature. Zbl 0754.65066
Bellettini, Giovanni; Paolini, Maurizio; Verdi, Claudio
4
1991
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.
3
2007
Anisotropic geometric functionals and gradient flows. Zbl 1189.53063
Bellettini, Giovanni; Mugnai, Luca
3
2009
Constraining spacetime torsion with LAGEOS. Zbl 1228.83096
March, 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 1272.53054
Bellettini, 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 1200.49010
Bellettini, Giovanni; Paolini, Maurizio
3
2010
Minimizing movements for mean curvature flow of partitions. Zbl 1396.53089
Bellettini, Giovanni; Kholmatov, Shokhrukh Yu.
3
2018
Minimizing movements for mean curvature flow of droplets with prescribed contact angle. Zbl 1398.49044
Bellettini, G.; Kholmatov, Sh. Yu.
3
2018
A regularized Perona-Malik functional: some aspects of the gradient dynamics. Zbl 1108.35078
Bellettini, G.; Fusco, G.
3
2005
A conjecture of de Giorgi on the square distance function. Zbl 1125.53004
Bellettini, G.; Masala, M.; Novaga, M.
3
2007
Shape reconstruction from apparent contours. Theory and algorithms. Zbl 1405.57001
Bellettini, Giovanni; Beorchia, Valentina; Paolini, Maurizio; Pasquarelli, Franco
3
2015
Variational properties of an image segmentation functional depending on contours curvature. Zbl 0853.49014
Bellettini, G.; Paolini, M.
3
1995
An almost everywhere regularity result for minimal partitions. Zbl 0699.49042
Bellettini, Giovanni
2
1990
Eventual regularity for the parabolic minimal surface equation. Zbl 1334.35093
Bellettini, 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 1338.49023
Bellettini, Giovanni; Paolini, Maurizio; Tealdi, Lucia
2
2016
Some aspects of the variational nature of mean curvature flow. Zbl 1155.49007
Bellettini, Giovanni; Mugnai, Luca
2
2008
Anisotropic mean curvature on facets and relations with capillarity. Zbl 1386.74109
Amato, Stefano; Bellettini, Giovanni; Tealdi, Lucia
2
2015
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.
2
2000
Barriers for a class of geometric evolution problems. Zbl 0990.35070
Bellettini, Giovanni; Novaga, Matteo
2
1997
Integral representation of functionals defined on curves of \(W^{1,p}\). Zbl 0917.46025
Amar, Micol; Bellettini, Giovanni; Venturini, Sergio
2
1998
Front-tracking and variational methods to approximate interfaces with prescribed mean curvature. Zbl 0754.65065
Bellettini, G.; Paolini, M.; Verdi, C.
2
1991
Convergence of a semidiscrete scheme for a forward-backward parabolic equation. Zbl 1307.65118
Bellettini, Giovanni; Geldhauser, Carina; Novaga, Matteo
2
2013
Covers, soap films and BV functions. Zbl 1393.49030
Bellettini, 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 1097.82005
Bellettini, G.; Gelli, M. S.; Luckhaus, S.; Novaga, M.
2
2006
Quasi-potentials of the entropy functionals for scalar conservation laws. Zbl 1180.49046
Bellettini, Giovanni; Caselli, Federica; Mariani, Mauro
2
2010
Numerical simulations of measurements of capillary contact angles. Zbl 0851.76010
Bellettini, G.; Paolini, M.
2
1996
The nonlinear multidomain model: a new formal asymptotic analysis. Zbl 1304.35048
Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio
2
2013
Asymptotic properties of the Nitzberg-Mumford variational model for segmentation with depth. Zbl 1112.49037
Bellettini, Giovanni; March, Riccardo
1
2007
On facet breaking for crystalline mean curvature flow in 3D. Zbl 1104.53063
Bellettini, G.
1
2004
A result on motion by mean curvature in arbitrary codimension. Zbl 0959.35085
Bellettini, G.; Novaga, M.
1
1999
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
Stable dynamics of spikes in solutions to a system of reaction-diffusion equations. II. Zbl 1029.35129
Bellettini, Giovanni; Fusco, Giorgio
1
2003
Some results on minimal barriers for geometric movements of sets. Zbl 0893.35043
Bellettini, G.
1
1997
Some applications of the least squares method to differential equations and related problems. Zbl 1178.65079
Bellettini, Giovanni; Caselli, Federica; Mariani, Mauro
1
2009
Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities. Zbl 1471.53071
Bellettini, Giovanni; Chambolle, Antonin; Kholmatov, Shokhrukh
1
2021
A complete invariant for connected surfaces in the 3-sphere. Zbl 1439.57041
Bellettini, Giovanni; Paolini, Maurizio; Wang, Yi-Sheng
1
2020
Minimizing movements for mean curvature flow of partitions. Zbl 1396.53089
Bellettini, Giovanni; Kholmatov, Shokhrukh Yu.
3
2018
Minimizing movements for mean curvature flow of droplets with prescribed contact angle. Zbl 1398.49044
Bellettini, G.; Kholmatov, Sh. Yu.
3
2018
Covers, soap films and BV functions. Zbl 1393.49030
Bellettini, 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 1417.49053
Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco
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
5
2017
On the area of the graph of a piecewise smooth map from the plane to the plane with a curve discontinuity. Zbl 1338.49023
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
8
2015
Shape reconstruction from apparent contours. Theory and algorithms. Zbl 1405.57001
Bellettini, Giovanni; Beorchia, Valentina; Paolini, Maurizio; Pasquarelli, Franco
3
2015
Eventual regularity for the parabolic minimal surface equation. Zbl 1334.35093
Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico
2
2015
Anisotropic mean curvature on facets and relations with capillarity. Zbl 1386.74109
Amato, Stefano; Bellettini, Giovanni; Tealdi, Lucia
2
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
26
2013
Nonconvex mean curvature flow as a formal singular limit of the nonlinear bidomain model. Zbl 1272.53054
Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco
3
2013
Convergence of a semidiscrete scheme for a forward-backward parabolic equation. Zbl 1307.65118
Bellettini, Giovanni; Geldhauser, Carina; Novaga, Matteo
2
2013
The nonlinear multidomain model: a new formal asymptotic analysis. Zbl 1304.35048
Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio
2
2013
Convergence of the one-dimensional Cahn-Hilliard equation. Zbl 1277.35197
Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo
8
2012
Lorentzian varifolds and applications to relativistic strings. Zbl 1280.49063
Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico
4
2012
Curvature evolution of nonconvex lens-shaped domains. Zbl 1237.53063
Bellettini, Giovanni; Novaga, Matteo
10
2011
Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension. Zbl 1218.35034
Bellettini, G.; Novaga, M.; Paolini, M.
5
2011
Constraining spacetime torsion with LAGEOS. Zbl 1228.83096
March, Riccardo; Bellettini, Giovanni; Tauraso, Roberto; Dell’Agnello, Simone
3
2011
\(\Gamma\)-entropy cost for scalar conservation laws. Zbl 1191.35172
Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo
14
2010
Approximation of Helfrich’s functional via diffuse interfaces. Zbl 1230.49006
Bellettini, Giovanni; Mugnai, Luca
13
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
18
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.
15
2008
Convergence of discrete schemes for the Perona-Malik equation. Zbl 1155.35002
Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C.
8
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.
12
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.
3
2007
A conjecture of de Giorgi on the square distance function. Zbl 1125.53004
Bellettini, G.; Masala, M.; Novaga, M.
3
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
34
2006
A concept of solution and numerical experiments for forward-backward diffusion equations. Zbl 1105.35007
Bellettini, Giovanni; Fusco, Giorgio; Guglielmi, Nicola
19
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.
8
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.
11
2005
Energy levels of a nonlocal functional. Zbl 1110.82020
Bellettini, G.; De Masi, A.; Presutti, E.
5
2005
Tunnelling in nonlocal evolution equations. Zbl 1362.45012
Bellettini, Giovanni; De Masi, Anna; Presutti, Errico
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.
19
2004
An image segmentation variational model with free discontinuities and contour curvature. Zbl 1044.49009
Bellettini, Giovanni; March, Riccardo
8
2004
Anisotropic and crystalline mean curvature flow. Zbl 1086.53083
Bellettini, Giovanni
4
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.
4
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.
97
2002
On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity. Zbl 0976.58016
Bellettini, G.; Novaga, M.; Paolini, M.
27
2001
Characterization of facet breaking for nonsmooth mean curvature flow in the convex case. Zbl 0989.35127
Bellettini, G.; Novaga, M.; Paolini, M.
23
2001
On a crystalline variational problem. II: \(BV\) regularity and structure of minimizers on facets. Zbl 0976.58017
Bellettini, G.; Novaga, M.; Paolini, M.
19
2001
Sharp interface limits for non-local anisotropic interactions. Zbl 0994.82057
Bellettini, Giovanni; Buttà, Paolo; Presutti, Errico
6
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.
9
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.
2
2000
Facet-breaking for three-dimensional crystals evolving by mean curvature. Zbl 0934.49023
Bellettini, G.; Novaga, M.; Paolini, M.
18
1999
BV functions with respect to a measure and relaxation of metric integral functionals. Zbl 0959.49015
Bellettini, Giovanni; Bouchitté, Guy; Fragalà, Ilaria
13
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
57
1998
A nonlocal anisotropic model for phase transitions. Zbl 0891.49021
Alberti, Giovanni; Bellettini, Giovanni
57
1998
Compactness and lower semicontinuity properties in \(SBD(\Omega)\). Zbl 0914.46007
Bellettini, G.; Coscia, A.; Dal Maso, G.
53
1998
Comparison results between minimal barriers and viscosity solutions for geometric evolutions. Zbl 0904.35041
Bellettini, Giovanni; Novaga, Matteo
8
1998
An example of three dimensional fatterning for linked space curves evolving by curvature. Zbl 0958.35065
Bellettini, Giovanni; Novaga, Matteo; Paolini, Maurizio
6
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.
10
1997
Convergence of front propagation for anisotropic bistable reaction-diffusion equations. Zbl 0902.35052
Bellettini, Giovanni; Colli Franzone, Piero; Paolini, Maurizio
7
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.
70
1996
Surface tension in Ising systems with Kac potentials. Zbl 1042.82539
Alberti, G.; Bellettini, G.; Cassandro, M.; Presutti, E.
24
1996
Some results on surface measures in calculus of variations. Zbl 0890.49020
Bellettini, G.; Paolini, M.; Venturini, S.
16
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.
16
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.
10
1995
Variational properties of an image segmentation functional depending on contours curvature. Zbl 0853.49014
Bellettini, G.; Paolini, M.
3
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.
46
1994
Discrete approximation of a free discontinuity problem. Zbl 0806.49002
Bellettini, Giovanni; Coscia, Alessandra
43
1994
Two examples of fattening for the curvature flow with a driving force. Zbl 0826.35051
Bellettini, Giovanni; Paolini, Maurizio
6
1994
...and 12 more Documents
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
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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. Theory, Methods & Applications. Series A: Theory and Methods
22 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
15 SIAM Journal on Mathematical Analysis
13 Journal of Mathematical Analysis and Applications
13 Discrete and Continuous Dynamical Systems
13 SIAM Journal on Imaging Sciences
12 Journal of Statistical Physics
12 Journal of Functional Analysis
12 Mathematische Annalen
12 Interfaces and Free Boundaries
12 Advances in Calculus of Variations
11 Journal of Computational Physics
11 The Journal of Geometric Analysis
11 Journal of Mathematical Imaging and Vision
10 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Computer Methods in Applied Mechanics and Engineering
9 Communications on Pure and Applied Mathematics
8 Communications in Partial Differential Equations
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 NoDEA. Nonlinear Differential Equations and Applications
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Communications in Mathematical Physics
6 Journal of Scientific Computing
5 Inverse Problems
5 Mathematical Methods in the Applied Sciences
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Proceedings of the American Mathematical Society
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 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
5 Geometric Flows
4 Journal of Mathematical Physics
4 Journal of the Mechanics and Physics of Solids
4 Nonlinearity
4 Advances in Mathematics
4 Journal für die Reine und Angewandte Mathematik
4 Numerical Functional Analysis and Optimization
4 Numerische Mathematik
4 SIAM Journal on Numerical Analysis
4 Physica D
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Journal of Convex Analysis
4 Journal of the European Mathematical Society (JEMS)
4 Communications in Contemporary Mathematics
4 Nonlinear Analysis. Real World Applications
4 Communications on Pure and Applied Analysis
3 Applicable Analysis
3 Calcolo
3 Indiana University Mathematics Journal
3 Mathematische Nachrichten
3 Acta Applicandae Mathematicae
3 Probability Theory and Related Fields
3 Computational Mechanics
3 European Journal of Applied Mathematics
3 Applications of Mathematics
3 Journal of Elasticity
3 SIAM Journal on Scientific Computing
3 Applied and Computational Harmonic Analysis
3 Advanced Nonlinear Studies
3 Milan Journal of Mathematics
3 Journal of Hyperbolic Differential Equations
3 Discrete and Continuous Dynamical Systems. 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. ESAIM, European Series in Applied and Industrial Mathematics
2 Annales Henri Poincaré
2 Journal of Evolution Equations
2 International Journal of Fracture
2 Boundary Value Problems
2 Inverse Problems and Imaging
2 Science China. Mathematics
2 Stochastic and Partial Differential Equations. Analysis and Computations
2 Advances in Nonlinear Analysis
2 Journal of Function Spaces
1 Classical and Quantum Gravity
...and 85 more Serials
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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)

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