×

zbMATH — the first resource for mathematics

Vittone, Davide

Compute Distance To:
Author ID: vittone.davide Recent zbMATH articles by "Vittone, Davide"
Published as: Vittone, Davide
Documents Indexed: 32 Publications since 2006, including 1 Book

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 279 times in 166 Documents Cited by Year
Intrinsic regular hypersurfaces in Heisenberg groups. Zbl 1085.49045
Ambrosio, Luigi; Serra Cassano, Francesco; Vittone, Davide
45
2006
Some isoperimetric problems in planes with density. Zbl 1193.49050
Cañete, Antonio; Miranda, Michele jun.; Vittone, Davide
29
2010
The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations. Zbl 1206.35240
Barone Adesi, Vittorio; Serra Cassano, Francesco; Vittone, Davide
29
2007
Submanifolds in Carnot groups. Zbl 1142.53046
Vittone, Davide
17
2008
Graphs of bounded variation, existence and local boundedness of non-parametric minimal surfaces in Heisenberg groups. Zbl 1304.49084
Serra Cassano, Francesco; Vittone, Davide
16
2014
An intrinsic measure for submanifolds in stratified groups. Zbl 1146.53022
Magnani, Valentino; Vittone, Davide
16
2008
Sard property for the endpoint map on some Carnot groups. Zbl 1352.53025
Le Donne, Enrico; Montgomery, Richard; Ottazzi, Alessandro; Pansu, Pierre; Vittone, Davide
14
2016
A negative answer to the Bernstein problem for intrinsic graphs in the Heisenberg group. Zbl 1204.53048
Monti, Roberto; Serra Cassano, Francesco; Vittone, Davide
13
2008
Extremal curves in nilpotent Lie groups. Zbl 1278.53035
Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide
12
2013
Sets with finite \(\mathbb{H}\)-perimeter and controlled normal. Zbl 1257.49047
Monti, Roberto; Vittone, Davide
12
2012
Lipschitz surfaces, perimeter and trace theorems for BV functions in Carnot-Carathéodory spaces. Zbl 1270.53068
Vittone, Davide
10
2012
The regularity problem for sub-Riemannian geodesics. Zbl 1320.53035
Vittone, Davide
7
2014
Height estimate and slicing formulas in the Heisenberg group. Zbl 1326.49068
Monti, Roberto; Vittone, Davide
7
2015
Extremal polynomials in stratified groups. Zbl 1397.53046
Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide
6
2018
Some regularity results for a class of upper semicontinuous functions. Zbl 1283.49016
Marigonda, Antonio; Nguyen, Khai T.; Vittone, Davide
5
2013
BV minimizers of the area functional in the Heisenberg group under the bounded slope condition. Zbl 1330.49044
Pinamonti, Andrea; Cassano, Francesco Serra; Treu, Giulia; Vittone, Davide
5
2015
Existence of tangent lines to Carnot-Carathéodory geodesics. Zbl 06903806
Monti, Roberto; Pigati, Alessandro; Vittone, Davide
4
2018
On tangent cones to length minimizers in Carnot-Carathéodory spaces. Zbl 1397.53047
Monti, Roberto; Pigati, Alessandro; Vittone, Davide
4
2018
Some remarks about parametrizations of intrinsic regular surfaces in the Heisenberg group. Zbl 1188.53028
Bigolin, Francesco; Vittone, Davide
4
2010
On transversal submanifolds and their measure. Zbl 1331.53056
Magnani, Valentino; Tyson, Jeremy; Vittone, Davide
4
2015
Weak Fubini property and infinity harmonic functions in Riemannian and sub-Riemannian manifolds. Zbl 1282.53025
Dragoni, Federica; Manfredi, Juan J.; Vittone, Davide
4
2013
Rank-one theorem and subgraphs of BV functions in Carnot groups. Zbl 1410.49052
Don, Sebastiano; Massaccesi, Annalisa; Vittone, Davide
3
2019
On the codimension of the abnormal set in step two Carnot groups. Zbl 1444.53024
Ottazzi, Alessandro; Vittone, Davide
2
2019
A dynamical approach to the Sard problem in Carnot groups. Zbl 1440.53035
Boarotto, Francesco; Vittone, Davide
2
2020
Isodiametric sets in the Heisenberg group. Zbl 1336.53046
Leonardi, Gian Paolo; Rigot, Séverine; Vittone, Davide
2
2012
Corners in non-equiregular sub-Riemannian manifolds. Zbl 1333.53045
Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide
2
2015
Variation formulas for \(H\)-rectifiable sets. Zbl 1366.49046
Fogagnolo, Mattia; Monti, Roberto; Vittone, Davide
2
2017
Fine properties of functions with bounded variation in Carnot-Carathéodory spaces. Zbl 1428.26018
Don, Sebastiano; Vittone, Davide
1
2019
An elementary proof of the rank-one theorem for BV functions. Zbl 1426.26028
Massaccesi, Annalisa; Vittone, Davide
1
2019
A compactness result for BV functions in metric spaces. Zbl 1421.46029
Don, Sebastiano; Vittone, Davide
1
2019
A dynamical approach to the Sard problem in Carnot groups. Zbl 1440.53035
Boarotto, Francesco; Vittone, Davide
2
2020
Rank-one theorem and subgraphs of BV functions in Carnot groups. Zbl 1410.49052
Don, Sebastiano; Massaccesi, Annalisa; Vittone, Davide
3
2019
On the codimension of the abnormal set in step two Carnot groups. Zbl 1444.53024
Ottazzi, Alessandro; Vittone, Davide
2
2019
Fine properties of functions with bounded variation in Carnot-Carathéodory spaces. Zbl 1428.26018
Don, Sebastiano; Vittone, Davide
1
2019
An elementary proof of the rank-one theorem for BV functions. Zbl 1426.26028
Massaccesi, Annalisa; Vittone, Davide
1
2019
A compactness result for BV functions in metric spaces. Zbl 1421.46029
Don, Sebastiano; Vittone, Davide
1
2019
Extremal polynomials in stratified groups. Zbl 1397.53046
Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide
6
2018
Existence of tangent lines to Carnot-Carathéodory geodesics. Zbl 06903806
Monti, Roberto; Pigati, Alessandro; Vittone, Davide
4
2018
On tangent cones to length minimizers in Carnot-Carathéodory spaces. Zbl 1397.53047
Monti, Roberto; Pigati, Alessandro; Vittone, Davide
4
2018
Variation formulas for \(H\)-rectifiable sets. Zbl 1366.49046
Fogagnolo, Mattia; Monti, Roberto; Vittone, Davide
2
2017
Sard property for the endpoint map on some Carnot groups. Zbl 1352.53025
Le Donne, Enrico; Montgomery, Richard; Ottazzi, Alessandro; Pansu, Pierre; Vittone, Davide
14
2016
Height estimate and slicing formulas in the Heisenberg group. Zbl 1326.49068
Monti, Roberto; Vittone, Davide
7
2015
BV minimizers of the area functional in the Heisenberg group under the bounded slope condition. Zbl 1330.49044
Pinamonti, Andrea; Cassano, Francesco Serra; Treu, Giulia; Vittone, Davide
5
2015
On transversal submanifolds and their measure. Zbl 1331.53056
Magnani, Valentino; Tyson, Jeremy; Vittone, Davide
4
2015
Corners in non-equiregular sub-Riemannian manifolds. Zbl 1333.53045
Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide
2
2015
Graphs of bounded variation, existence and local boundedness of non-parametric minimal surfaces in Heisenberg groups. Zbl 1304.49084
Serra Cassano, Francesco; Vittone, Davide
16
2014
The regularity problem for sub-Riemannian geodesics. Zbl 1320.53035
Vittone, Davide
7
2014
Extremal curves in nilpotent Lie groups. Zbl 1278.53035
Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide
12
2013
Some regularity results for a class of upper semicontinuous functions. Zbl 1283.49016
Marigonda, Antonio; Nguyen, Khai T.; Vittone, Davide
5
2013
Weak Fubini property and infinity harmonic functions in Riemannian and sub-Riemannian manifolds. Zbl 1282.53025
Dragoni, Federica; Manfredi, Juan J.; Vittone, Davide
4
2013
Sets with finite \(\mathbb{H}\)-perimeter and controlled normal. Zbl 1257.49047
Monti, Roberto; Vittone, Davide
12
2012
Lipschitz surfaces, perimeter and trace theorems for BV functions in Carnot-Carathéodory spaces. Zbl 1270.53068
Vittone, Davide
10
2012
Isodiametric sets in the Heisenberg group. Zbl 1336.53046
Leonardi, Gian Paolo; Rigot, Séverine; Vittone, Davide
2
2012
Some isoperimetric problems in planes with density. Zbl 1193.49050
Cañete, Antonio; Miranda, Michele jun.; Vittone, Davide
29
2010
Some remarks about parametrizations of intrinsic regular surfaces in the Heisenberg group. Zbl 1188.53028
Bigolin, Francesco; Vittone, Davide
4
2010
Submanifolds in Carnot groups. Zbl 1142.53046
Vittone, Davide
17
2008
An intrinsic measure for submanifolds in stratified groups. Zbl 1146.53022
Magnani, Valentino; Vittone, Davide
16
2008
A negative answer to the Bernstein problem for intrinsic graphs in the Heisenberg group. Zbl 1204.53048
Monti, Roberto; Serra Cassano, Francesco; Vittone, Davide
13
2008
The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations. Zbl 1206.35240
Barone Adesi, Vittorio; Serra Cassano, Francesco; Vittone, Davide
29
2007
Intrinsic regular hypersurfaces in Heisenberg groups. Zbl 1085.49045
Ambrosio, Luigi; Serra Cassano, Francesco; Vittone, Davide
45
2006
all top 5

Cited by 160 Authors

15 Vittone, Davide
12 Monti, Roberto
11 Magnani, Valentino
10 Le Donne, Enrico
10 Rosales, César
10 Serra Cassano, Francesco
8 Citti, Giovanna
8 Pinamonti, Andrea
8 Ritoré, Manuel
7 Pratelli, Aldo
7 Serapioni, Raul Paolo
7 Speight, Gareth
6 Brock, Friedemann
6 Chiacchio, Francesco
6 Morbidelli, Daniele
5 Franchi, Bruno
5 Hurtado, Ana
5 Manfredini, Maria
5 Mercaldo, Anna
5 Montanari, Annamaria
4 Bigolin, Francesco
4 Galli, Matteo
4 Karmanova, Maria B.
4 Rizzi, Luca
4 Shanmugalingam, Nageswari
4 Tyson, Jeremy T.
3 Alvino, Angelo
3 Barilari, Davide
3 Capogna, Luca
3 Caravenna, Laura
3 Don, Sebastiano
3 Hakavuori, Eero
3 Lahti, Panu
3 Posteraro, Maria Rosaria
2 Agrachev, Andreĭ Aleksandrovich
2 Antonelli, Gioacchino
2 Arena, Gabriella
2 Balogh, Zoltán M.
2 Boarotto, Francesco
2 Boscain, Ugo
2 Cheng, Jih-Hsin
2 Chousionis, Vasilis
2 Cinti, Eleonora
2 Colombo, Giovanni
2 Dadok, Jiri
2 Danielli, Donatella
2 Di Donato, Daniela
2 Garofalo, Nicola
2 Giovannardi, Gianmarco
2 He, Guoqing
2 Hieu, Doan The
2 Hwang, Jenn-Fang
2 Leonardi, Gian Paolo
2 Maggi, Francesco
2 Marigonda, Antonio
2 Massaccesi, Annalisa
2 Molica Bisci, Giovanni
2 Montefalcone, Francescopaolo
2 Morgan, Frank
2 Nguyen, Khai T.
2 Nguyen, Luong V.
2 Nhieu, Duy-Minh
2 Nicolussi Golo, Sebastiano
2 Ottazzi, Alessandro
2 Pigati, Alessandro
2 Repovš, Dušan D.
2 Saracco, Giorgio
2 Stefani, Giorgio
2 Sternberg, Peter J.
2 Zhao, Peibiao
1 Alama, Stan
1 Alberti, Giovanni
1 Baldi, Annalisa
1 Barbieri, Davide Francesco
1 Barone Adesi, Vittorio
1 Bellettini, Costante
1 Bianchini, Stefano
1 Bronsard, Lia
1 Cañete, Antonio
1 Carbotti, Alessandro
1 Caruso, Andrea Orazio
1 Castro, Katherine
1 Cavallina, Lorenzo
1 Chitour, Yacine
1 Chiu, Hung-Lin
1 Chousionis, Vasileios
1 Cianchi, Andrea
1 Comi, Giovanni E.
1 Contreras, Andres A.
1 Corni, Francesca
1 Csató, Gyula
1 Cupini, Giovanni
1 Dannenberg, Matthew
1 De Philippis, Guido
1 Diniz, Marcos M.
1 Durand-Cartagena, Estibalitz
1 Fässler, Katrin S.
1 Fernández, Isabel
1 Ferrara, Massimiliano
1 Figalli, Alessio
...and 60 more Authors
all top 5

Cited in 55 Serials

23 Calculus of Variations and Partial Differential Equations
14 The Journal of Geometric Analysis
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Advances in Mathematics
8 Journal of Mathematical Analysis and Applications
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Analysis and Geometry in Metric Spaces
5 Journal of Differential Equations
5 Mathematische Annalen
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Journal of Functional Analysis
3 Journal für die Reine und Angewandte Mathematik
3 SIAM Journal on Control and Optimization
3 Siberian Mathematical Journal
3 Potential Analysis
3 Communications on Pure and Applied Analysis
3 Annales Fennici Mathematici
2 Journal d’Analyse Mathématique
2 Journal of Geometry and Physics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Illinois Journal of Mathematics
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Publicacions Matemàtiques
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Dynamical and Control Systems
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 Israel Journal of Mathematics
1 Mathematical Notes
1 Nonlinearity
1 The Mathematical Intelligencer
1 Bulletin of the London Mathematical Society
1 Commentarii Mathematici Helvetici
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Osaka Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Annals of Global Analysis and Geometry
1 Revista Matemática Iberoamericana
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Journal of Mathematical Imaging and Vision
1 Journal of Convex Analysis
1 The Journal of Fourier Analysis and Applications
1 Doklady Mathematics
1 Communications in Contemporary Mathematics
1 Advanced Nonlinear Studies
1 Advances in Calculus of Variations
1 Involve
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Analysis and Mathematical Physics
1 Open Mathematics

Citations by Year