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Ponsiglione, Marcello

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Author ID: ponsiglione.marcello Recent zbMATH articles by "Ponsiglione, Marcello"
Published as: Ponsiglione, Marcello; Ponsiglione, M.
Documents Indexed: 42 Publications since 2001

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 430 times in 289 Documents Cited by Year
Gradient theory for plasticity via homogenization of discrete dislocations. Zbl 1200.74017
Garroni, Adriana; Leoni, Giovanni; Ponsiglione, Marcello
44
2010
Metastability and dynamics of discrete topological singularities in two dimensions: a \(\Gamma\)-convergence approach. Zbl 1305.82013
Alicandro, Roberto; De Luca, Lucia; Garroni, Adriana; Ponsiglione, Marcello
31
2014
Nonlocal curvature flows. Zbl 1328.35166
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
28
2015
Elastic energy stored in a crystal induced by screw dislocations: from discrete to continuous. Zbl 1135.74037
Ponsiglione, Marcello
26
2007
Dielectric breakdown: optimal bounds. Zbl 0993.78015
Garroni, A.; Nesi, V.; Ponsiglione, M.
25
2001
Crack initiation in brittle materials. Zbl 1138.74042
Chambolle, Antonin; Giacomini, Alessandro; Ponsiglione, Marcello
24
2008
Piecewise rigidity. Zbl 1110.74046
Chambolle, Antonin; Giacomini, Alessandro; Ponsiglione, Marcello
22
2007
A \(\Gamma\)-convergence approach to stability of unilateral minimality properties in fracture mechanics and applications. Zbl 1089.74011
Giacomini, Alessandro; Ponsiglione, Marcello
18
2006
Ginzburg-Landau functionals and renormalized energy: a revised \({\gamma}\)-convergence approach. Zbl 1307.35287
Alicandro, Roberto; Ponsiglione, Marcello
18
2014
\(\Gamma\)-convergence analysis of systems of edge dislocations: the self energy regime. Zbl 1366.74006
De Luca, L.; Garroni, A.; Ponsiglione, M.
18
2012
Non-interpenetration of matter for SBV deformations of hyperelastic brittle materials. Zbl 1151.74034
Giacomini, Alessandro; Ponsiglione, Marcello
14
2008
Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocations energies. Zbl 1251.49017
Alicandro, Roberto; Cicalese, Marco; Ponsiglione, Marcello
13
2011
A stability result for nonlinear Neumann problems under boundary variations. Zbl 1030.35056
Dal Maso, Gianni; Ebobisse, François; Ponsiglione, Marcello
12
2003
A nonlocal mean curvature flow and its semi-implicit time-discrete approximation. Zbl 1270.35019
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
12
2012
Existence and uniqueness for a crystalline mean curvature flow. Zbl 1366.53047
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
10
2017
From 1-homogeneous supremal functionals to difference quotients: relaxation and \(\Gamma\)-convergence. Zbl 1105.47056
Garroni, Adriana; Ponsiglione, Marcello; Prinari, Francesca
9
2006
Fracture mechanics in perforated domains: a variational model for brittle porous media. Zbl 1423.74821
Focardi, Matteo; Gelli, M. S.; Ponsiglione, M.
9
2009
A discontinuous finite element approximation of quasi-static growth of brittle fractures. Zbl 1046.74048
Giacomini, Alessandro; Ponsiglione, Marcello
8
2003
A variational model for dislocations at semi-coherent interfaces. Zbl 1386.74026
Fanzon, Silvio; Palombaro, Mariapia; Ponsiglione, Marcello
8
2017
Discontinuous finite element approximation of quasistatic crack growth in nonlinear elasticity. Zbl 1092.35111
Giacomini, Alessandro; Ponsiglione, Marcello
7
2006
Minimising movements for the motion of discrete screw dislocations along glide directions. Zbl 1373.74083
Alicandro, Roberto; De Luca, Lucia; Garroni, Adriana; Ponsiglione, Marcello
7
2017
Ground states of a two phase model with cross and self attractive interactions. Zbl 1352.49009
Cicalese, M.; De Luca, L.; Novaga, M.; Ponsiglione, M.
6
2016
Phase transitions and minimal hypersurfaces in hyperbolic space. Zbl 1261.30003
Pisante, Adriano; Ponsiglione, Marcello
6
2011
A variational model for infinite perimeter segmentations based on Lipschitz level set functions: denoising while keeping finely oscillatory boundaries. Zbl 1216.94007
Barchiesi, M.; Kang, S. H.; Le, T. M.; Morini, M.; Ponsiglione, M.
6
2010
\(\mathit\Gamma\)-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter. Zbl 1425.74108
De Luca, L.; Novaga, M.; Ponsiglione, M.
5
2019
Quantitative stability in the isodiametric inequality via the isoperimetric inequality. Zbl 1286.51012
Maggi, Francesco; Ponsiglione, Marcello; Pratelli, Aldo
5
2014
A variational model for quasistatic crack growth in nonlinear elasticity: some qualitative properties of the solutions. Zbl 1173.74037
Dal Maso, Gianni; Giacomini, Alessandro; Ponsiglione, Marcello
5
2009
Existence and uniqueness for anisotropic and crystalline mean curvature flows. Zbl 1420.53073
Chambolle, Antonin; Morini, Massimiliano; Novaga, Matteo; Ponsiglione, Marcello
5
2019
Homogenization of two-phase metrics and applications. Zbl 1149.53044
Davini, Andrea; Ponsiglione, Marcello
4
2007
Generalized crystalline evolutions as limits of flows with smooth anisotropies. Zbl 1403.53055
Chambolle, Antonin; Morini, Massimiliano; Novaga, Matteo; Ponsiglione, Marcello
4
2019
Derivation of linearized polycrystals from a two-dimensional system of edge dislocations. Zbl 1425.74071
Fanzon, Silvio; Palombaro, Mariapia; Ponsiglione, Marcello
3
2019
The three divergence free matrix fields problem. Zbl 1063.35052
Palombaro, Mariapia; Ponsiglione, Marcello
3
2004
A duality approach for variational problems in domain with cracks. Zbl 1064.31002
Ebobisse, François; Ponsiglione, Marcello
3
2004
\(\Gamma\)-convergence analysis of a generalized \(XY\) model: fractional vortices and string defects. Zbl 1394.82021
Badal, Rufat; Cicalese, Marco; De Luca, Lucia; Ponsiglione, Marcello
3
2018
Quasi static growth of brittle cracks in a linearly elastic flexural plate. Zbl 1232.74059
Acanfora, Fausto; Ponsiglione, Marcello
3
2006
Minimizing movements and level set approaches to nonlocal variational geometric flows. Zbl 1292.35087
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
3
2013
Stability of some unilateral free-discontinuity problems in two-dimensional domains. Zbl 1057.49002
Ebobisse, François; Ponsiglione, Marcello
1
2003
A variational approach to the stationary solutions of the Burgers equation. Zbl 1257.35004
Bertini, Lorenzo; Ponsiglione, Marcello
1
2012
Gradient integrability and rigidity results for two-phase conductivities in two dimensions. Zbl 1298.30018
Nesi, Vincenzo; Palombaro, Mariapia; Ponsiglione, Marcello
1
2014
\(\mathit\Gamma\)-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter. Zbl 1425.74108
De Luca, L.; Novaga, M.; Ponsiglione, M.
5
2019
Existence and uniqueness for anisotropic and crystalline mean curvature flows. Zbl 1420.53073
Chambolle, Antonin; Morini, Massimiliano; Novaga, Matteo; Ponsiglione, Marcello
5
2019
Generalized crystalline evolutions as limits of flows with smooth anisotropies. Zbl 1403.53055
Chambolle, Antonin; Morini, Massimiliano; Novaga, Matteo; Ponsiglione, Marcello
4
2019
Derivation of linearized polycrystals from a two-dimensional system of edge dislocations. Zbl 1425.74071
Fanzon, Silvio; Palombaro, Mariapia; Ponsiglione, Marcello
3
2019
\(\Gamma\)-convergence analysis of a generalized \(XY\) model: fractional vortices and string defects. Zbl 1394.82021
Badal, Rufat; Cicalese, Marco; De Luca, Lucia; Ponsiglione, Marcello
3
2018
Existence and uniqueness for a crystalline mean curvature flow. Zbl 1366.53047
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
10
2017
A variational model for dislocations at semi-coherent interfaces. Zbl 1386.74026
Fanzon, Silvio; Palombaro, Mariapia; Ponsiglione, Marcello
8
2017
Minimising movements for the motion of discrete screw dislocations along glide directions. Zbl 1373.74083
Alicandro, Roberto; De Luca, Lucia; Garroni, Adriana; Ponsiglione, Marcello
7
2017
Ground states of a two phase model with cross and self attractive interactions. Zbl 1352.49009
Cicalese, M.; De Luca, L.; Novaga, M.; Ponsiglione, M.
6
2016
Nonlocal curvature flows. Zbl 1328.35166
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
28
2015
Metastability and dynamics of discrete topological singularities in two dimensions: a \(\Gamma\)-convergence approach. Zbl 1305.82013
Alicandro, Roberto; De Luca, Lucia; Garroni, Adriana; Ponsiglione, Marcello
31
2014
Ginzburg-Landau functionals and renormalized energy: a revised \({\gamma}\)-convergence approach. Zbl 1307.35287
Alicandro, Roberto; Ponsiglione, Marcello
18
2014
Quantitative stability in the isodiametric inequality via the isoperimetric inequality. Zbl 1286.51012
Maggi, Francesco; Ponsiglione, Marcello; Pratelli, Aldo
5
2014
Gradient integrability and rigidity results for two-phase conductivities in two dimensions. Zbl 1298.30018
Nesi, Vincenzo; Palombaro, Mariapia; Ponsiglione, Marcello
1
2014
Minimizing movements and level set approaches to nonlocal variational geometric flows. Zbl 1292.35087
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
3
2013
\(\Gamma\)-convergence analysis of systems of edge dislocations: the self energy regime. Zbl 1366.74006
De Luca, L.; Garroni, A.; Ponsiglione, M.
18
2012
A nonlocal mean curvature flow and its semi-implicit time-discrete approximation. Zbl 1270.35019
Chambolle, Antonin; Morini, Massimiliano; Ponsiglione, Marcello
12
2012
A variational approach to the stationary solutions of the Burgers equation. Zbl 1257.35004
Bertini, Lorenzo; Ponsiglione, Marcello
1
2012
Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocations energies. Zbl 1251.49017
Alicandro, Roberto; Cicalese, Marco; Ponsiglione, Marcello
13
2011
Phase transitions and minimal hypersurfaces in hyperbolic space. Zbl 1261.30003
Pisante, Adriano; Ponsiglione, Marcello
6
2011
Gradient theory for plasticity via homogenization of discrete dislocations. Zbl 1200.74017
Garroni, Adriana; Leoni, Giovanni; Ponsiglione, Marcello
44
2010
A variational model for infinite perimeter segmentations based on Lipschitz level set functions: denoising while keeping finely oscillatory boundaries. Zbl 1216.94007
Barchiesi, M.; Kang, S. H.; Le, T. M.; Morini, M.; Ponsiglione, M.
6
2010
Fracture mechanics in perforated domains: a variational model for brittle porous media. Zbl 1423.74821
Focardi, Matteo; Gelli, M. S.; Ponsiglione, M.
9
2009
A variational model for quasistatic crack growth in nonlinear elasticity: some qualitative properties of the solutions. Zbl 1173.74037
Dal Maso, Gianni; Giacomini, Alessandro; Ponsiglione, Marcello
5
2009
Crack initiation in brittle materials. Zbl 1138.74042
Chambolle, Antonin; Giacomini, Alessandro; Ponsiglione, Marcello
24
2008
Non-interpenetration of matter for SBV deformations of hyperelastic brittle materials. Zbl 1151.74034
Giacomini, Alessandro; Ponsiglione, Marcello
14
2008
Elastic energy stored in a crystal induced by screw dislocations: from discrete to continuous. Zbl 1135.74037
Ponsiglione, Marcello
26
2007
Piecewise rigidity. Zbl 1110.74046
Chambolle, Antonin; Giacomini, Alessandro; Ponsiglione, Marcello
22
2007
Homogenization of two-phase metrics and applications. Zbl 1149.53044
Davini, Andrea; Ponsiglione, Marcello
4
2007
A \(\Gamma\)-convergence approach to stability of unilateral minimality properties in fracture mechanics and applications. Zbl 1089.74011
Giacomini, Alessandro; Ponsiglione, Marcello
18
2006
From 1-homogeneous supremal functionals to difference quotients: relaxation and \(\Gamma\)-convergence. Zbl 1105.47056
Garroni, Adriana; Ponsiglione, Marcello; Prinari, Francesca
9
2006
Discontinuous finite element approximation of quasistatic crack growth in nonlinear elasticity. Zbl 1092.35111
Giacomini, Alessandro; Ponsiglione, Marcello
7
2006
Quasi static growth of brittle cracks in a linearly elastic flexural plate. Zbl 1232.74059
Acanfora, Fausto; Ponsiglione, Marcello
3
2006
The three divergence free matrix fields problem. Zbl 1063.35052
Palombaro, Mariapia; Ponsiglione, Marcello
3
2004
A duality approach for variational problems in domain with cracks. Zbl 1064.31002
Ebobisse, François; Ponsiglione, Marcello
3
2004
A stability result for nonlinear Neumann problems under boundary variations. Zbl 1030.35056
Dal Maso, Gianni; Ebobisse, François; Ponsiglione, Marcello
12
2003
A discontinuous finite element approximation of quasi-static growth of brittle fractures. Zbl 1046.74048
Giacomini, Alessandro; Ponsiglione, Marcello
8
2003
Stability of some unilateral free-discontinuity problems in two-dimensional domains. Zbl 1057.49002
Ebobisse, François; Ponsiglione, Marcello
1
2003
Dielectric breakdown: optimal bounds. Zbl 0993.78015
Garroni, A.; Nesi, V.; Ponsiglione, M.
25
2001
all top 5

Cited by 330 Authors

21 Ponsiglione, Marcello
15 Chambolle, Antonin
14 Conti, Sergio
11 Friedrich, Manuel
11 Novaga, Matteo
11 Scardia, Lucia
10 Garroni, Adriana
9 Dal Maso, Gianni
9 De Luca, Lucia
8 Valdinoci, Enrico
8 van Meurs, Patrick
7 Cesaroni, Annalisa
7 Cicalese, Marco
7 Dipierro, Serena
7 Lazzaroni, Giuliano
7 Mielke, Alexander
7 Ortiz, Michael
7 Palombaro, Mariapia
7 Prinari, Francesca
7 Solombrino, Francesco
6 Alicandro, Roberto
6 Focardi, Matteo
6 Francfort, Gilles A.
6 Marigo, Jean-Jacques
6 Morandotti, Marco
6 Morini, Massimiliano
6 Ortner, Christoph
6 Peletier, Mark Adriaan
6 Stefanelli, Ulisse
6 Zeppieri, Caterina Ida
5 Cagnetti, Filippo
5 Giacomini, Alessandro
5 Hudson, Thomas
5 Katzourakis, Nikolaos I.
5 Lemenant, Antoine
4 Babadjian, Jean-François
4 Fanzon, Silvio
4 Ginster, Janusz
4 Ruf, Matthias
3 Barchiesi, Marco
3 Bellettini, Giovanni
3 Bocea, Marian F.
3 Braides, Andrea
3 Buze, Maciej
3 Canevari, Giacomo
3 Fonseca, Irene
3 Fusco, Nicola
3 Ignat, Radu
3 Iurlano, Flaviana
3 Kreisbeck, Carolin
3 Kreutz, Leonard C.
3 Kružík, Martin
3 Mihăilescu, Mihai
3 Müller, Stefan
3 Negri, Matteo
3 Orlandi, Giandomenico
3 Pagliari, Valerio
3 Palatucci, Giampiero
3 Roubíček, Tomáš
3 Scala, Riccardo
3 Toader, Rodica
3 Zappale, Elvira
2 Acanfora, Fausto
2 Ansini, Nadia
2 Bardella, Lorenzo
2 Böhlke, Thomas
2 Bourdin, Blaise
2 Cabré, Xavier
2 Crismale, Vito
2 De Philippis, Guido
2 Del Piero, Gianpietro
2 Di Francesco, Marco
2 Fokoua, Landry
2 Gelli, Maria Stella
2 Giga, Yoshikazu
2 Goldman, Michael
2 Grandi, Diego
2 Guo, Changyu
2 Henao, Duvan A.
2 Jerrard, Robert Leon
2 Kholmatov, Shokhrukh Yusufovich
2 Kurzke, Matthias W.
2 Larsen, Christopher J.
2 Leoni, Giovanni
2 Luo, Tao
2 Mainini, Edoardo
2 Malusa, Annalisa
2 Matolcsi, Máté
2 Maurini, Corrado
2 Mora-Corral, Carlos
2 Mramor, Blaz
2 Neff, Patrizio
2 Pauly, Dirk
2 Perugini, Matteo
2 Pisante, Adriano
2 Reina, Celia
2 Röger, Matthias
2 Sáez, Mariel
2 Schmidt, Bernd
2 Seguin, Brian
...and 230 more Authors
all top 5

Cited in 86 Serials

46 Archive for Rational Mechanics and Analysis
17 Calculus of Variations and Partial Differential Equations
16 SIAM Journal on Mathematical Analysis
14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Journal of the Mechanics and Physics of Solids
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Journal of Nonlinear Science
5 Journal of Differential Equations
4 Journal of Mathematical Analysis and Applications
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 SIAM Journal on Applied Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Discrete and Continuous Dynamical Systems. Series S
3 Communications in Mathematical Physics
3 Communications on Pure and Applied Mathematics
3 Applied Mathematics and Optimization
3 Journal of Functional Analysis
3 Proceedings of the American Mathematical Society
3 Journal of Elasticity
3 Networks and Heterogeneous Media
3 Advances in Calculus of Variations
2 Computer Methods in Applied Mechanics and Engineering
2 International Journal of Engineering Science
2 Journal of Computational Physics
2 Nonlinearity
2 Indiana University Mathematics Journal
2 International Journal for Numerical Methods in Engineering
2 Quarterly of Applied Mathematics
2 Ricerche di Matematica
2 European Journal of Applied Mathematics
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 The Journal of Geometric Analysis
2 Communications in Partial Differential Equations
2 Continuum Mechanics and Thermodynamics
2 NoDEA. Nonlinear Differential Equations and Applications
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
2 Discrete and Continuous Dynamical Systems. Series B
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 GAMM-Mitteilungen
2 Journal of Fixed Point Theory and Applications
2 Bollettino dell’Unione Matematica Italiana
1 Acta Mechanica
1 Journal d’Analyse Mathématique
1 Reports on Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Applied Mathematics and Computation
1 Journal of the London Mathematical Society. Second Series
1 Journal of Optimization Theory and Applications
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Meccanica
1 SIAM Journal on Control and Optimization
1 Physica D
1 Discrete & Computational Geometry
1 Journal of the American Mathematical Society
1 Asymptotic Analysis
1 Publicacions Matemàtiques
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 Journal of Convex Analysis
1 Discrete and Continuous Dynamical Systems
1 European Journal of Mechanics. A. Solids
1 Interfaces and Free Boundaries
1 Advances in Geometry
1 Nonlinear Analysis. Real World Applications
1 Journal of Evolution Equations
1 Communications on Pure and Applied Analysis
1 SIAM Journal on Applied Dynamical Systems
1 Multiscale Modeling & Simulation
1 Boundary Value Problems
1 Inverse Problems and Imaging
1 Analysis & PDE
1 Bulletin of Mathematical Sciences
1 Evolution Equations and Control Theory
1 Journal de l’École Polytechnique – Mathématiques
1 Geometric Flows
1 Journal of Elliptic and Parabolic Equations
1 SN Partial Differential Equations and Applications

Citations by Year