×
Compute Distance To:
Author ID: monti.roberto Recent zbMATH articles by "Monti, Roberto"
Published as: Monti, Roberto; Monti, R.
Homepage: http://www.math.unipd.it/~monti/
External Links: MGP
Documents Indexed: 50 Publications since 2000
Co-Authors: 24 Co-Authors with 38 Joint Publications
239 Co-Co-Authors
all top 5

Serials

6 Calculus of Variations and Partial Differential Equations
4 The Journal of Geometric Analysis
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Mathematische Zeitschrift
2 Proceedings of the American Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Journal of Convex Analysis
2 Annales Academiae Scientiarum Fennicae. Mathematica
1 Journal d’Analyse Mathématique
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Duke Mathematical Journal
1 Indiana University Mathematics Journal
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Le Matematiche
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 SIAM Journal on Control and Optimization
1 Transactions of the American Mathematical Society
1 Revista Matemática Iberoamericana
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Communications in Partial Differential Equations
1 Potential Analysis
1 Communications in Analysis and Geometry
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Communications in Contemporary Mathematics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Bollettino dell’Unione Matematica Italiana. Series IX
1 Advances in Calculus of Variations
1 Analysis & PDE
1 Analysis and Geometry in Metric Spaces

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 493 times in 294 Documents Cited by Year
Surface measures in Carnot-Carathéodory spaces. Zbl 1032.49045
Monti, Roberto; Serra Cassano, Francesco
71
2001
Kelvin transform for Grushin operators and critical semilinear equations. Zbl 1094.35036
Monti, Roberto; Morbidelli, Daniele
38
2006
Regular domains in homogeneous groups. Zbl 1067.43003
Monti, Roberto; Morbidelli, Daniele
29
2005
Some properties of Carnot-Carath’eodory balls in the Heisenberg group. Zbl 1197.53064
Monti, Roberto
26
2000
Isoperimetric inequality in the Grushin plane. Zbl 1076.53035
Monti, Roberto; Morbidelli, Daniele
22
2004
Convex isoperimetric sets in the Heisenberg group. Zbl 1170.49037
Monti, Roberto; Rickly, Matthieu
20
2009
Geodetically convex sets in the Heisenberg group. Zbl 1077.53030
Monti, Roberto; Rickly, Matthieu
18
2005
Trace theorems for vector fields. Zbl 1030.46041
Monti, Roberto; Morbidelli, Daniele
17
2002
Extremal curves in nilpotent Lie groups. Zbl 1278.53035
Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide
16
2013
End-point equations and regularity of sub-Riemannian geodesics. Zbl 1189.53033
Leonardi, Gian Paolo; Monti, Roberto
16
2008
Brunn-Minkowski and isoperimetric inequality in the Heisenberg group. Zbl 1075.49017
Monti, Roberto
15
2003
Sobolev inequalities for weighted gradients. Zbl 1138.46024
Monti, Roberto
15
2006
A negative answer to the Bernstein problem for intrinsic graphs in the Heisenberg group. Zbl 1204.53048
Monti, Roberto; Serra Cassano, Francesco; Vittone, Davide
14
2008
Sets with finite \(\mathbb{H}\)-perimeter and controlled normal. Zbl 1257.49047
Monti, Roberto; Vittone, Davide
14
2012
Heisenberg isoperimetric problem. The axial case. Zbl 1149.49036
Monti, Roberto
14
2008
Frequency of Sobolev and quasiconformal dimension distortion. Zbl 1266.28003
Balogh, Zoltán M.; Monti, Roberto; Tyson, Jeremy T.
12
2013
Isoperimetric problem in \(H\)-type groups and Grushin spaces. Zbl 1368.49051
Franceschi, Valentina; Monti, Roberto
12
2016
Regularity results for sub-Riemannian geodesics. Zbl 1288.53026
Monti, Roberto
11
2014
The regularity problem for sub-Riemannian geodesics. Zbl 1301.53028
Monti, Roberto
11
2014
Non-tangentially accessible domains for vector fields. Zbl 1143.57013
Monti, Roberto; Morbidelli, Daniele
10
2005
Height estimate and slicing formulas in the Heisenberg group. Zbl 1326.49068
Monti, Roberto; Vittone, Davide
9
2015
Rearrangements in metric spaces and in the Heisenberg group. Zbl 1301.30059
Monti, Roberto
8
2014
Quantitative isoperimetric inequalities in \(\mathbb H^n\). Zbl 1326.49075
Franceschi, Valentina; Leonardi, Gian Paolo; Monti, Roberto
7
2015
Extremal polynomials in stratified groups. Zbl 1397.53046
Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide
7
2018
Levi umbilical surfaces in complex space. Zbl 1117.32022
Monti, Roberto; Morbidelli, Daniele
7
2007
Existence of tangent lines to Carnot-Carathéodory geodesics. Zbl 06903806
Monti, Roberto; Pigati, Alessandro; Vittone, Davide
6
2018
Regularity properties of \(H\)-convex sets. Zbl 1262.32014
Arena, G.; Caruso, A. O.; Monti, R.
6
2012
On tangent cones to length minimizers in Carnot-Carathéodory spaces. Zbl 1397.53047
Monti, Roberto; Pigati, Alessandro; Vittone, Davide
5
2018
Isoperimetric problem and minimal surfaces in the Heisenberg group. Zbl 1326.53081
Monti, Roberto
5
2014
Improved Lipschitz approximation of \(H\)-perimeter minimizing boundaries. Zbl 1372.49052
Monti, Roberto; Stefani, Giorgio
4
2017
Minimal surfaces and harmonic functions in the Heisenberg group. Zbl 1321.49071
Monti, Roberto
4
2015
John domains for the control distance of diagonal vector fields. Zbl 1074.30021
Monti, Roberto; Morbidelli, Daniele
3
2004
Lipschitz approximation of \(\mathbb H\)-perimeter minimizing boundaries. Zbl 1290.49088
Monti, Roberto
3
2014
CMC spheres in the Heisenberg group. Zbl 1428.53073
Franceschi, Valentina; Montefalcone, Francescopaolo; Monti, Roberto
3
2019
Corners in non-equiregular sub-Riemannian manifolds. Zbl 1333.53045
Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide
3
2015
A family of nonminimizing abnormal curves. Zbl 1304.53025
Monti, Roberto
2
2014
Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids. Zbl 1250.32034
Monti, Roberto; Morbidelli, Daniele
2
2012
Positive solutions of anisotropic yamabe-type equations in \(\mathbb {R}^n\). Zbl 1157.35042
Monti, Roberto; Morbidelli, Daniele
2
2008
Variation formulas for \(H\)-rectifiable sets. Zbl 1366.49046
Fogagnolo, Mattia; Monti, Roberto; Vittone, Davide
2
2017
Accessible domains in the Heisenberg group. Zbl 1037.43009
Balogh, Zoltán M.; Monti, Roberto
1
2004
John and uniform domains in generalized Siegel boundaries. Zbl 1447.53032
Monti, Roberto; Morbidelli, Daniele
1
2020
Exceptional sets for self-similar fractals in Carnot groups. Zbl 1195.22005
Balogh, Zoltán M.; Berger, Reto; Monti, Roberto; Tyson, Jeremy T.
1
2010
Third order open mapping theorems and applications to the end-point map. Zbl 1447.53031
Boarotto, Francesco; Monti, Roberto; Palmurella, Francesco
1
2020
John and uniform domains in generalized Siegel boundaries. Zbl 1447.53032
Monti, Roberto; Morbidelli, Daniele
1
2020
Third order open mapping theorems and applications to the end-point map. Zbl 1447.53031
Boarotto, Francesco; Monti, Roberto; Palmurella, Francesco
1
2020
CMC spheres in the Heisenberg group. Zbl 1428.53073
Franceschi, Valentina; Montefalcone, Francescopaolo; Monti, Roberto
3
2019
Extremal polynomials in stratified groups. Zbl 1397.53046
Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide
7
2018
Existence of tangent lines to Carnot-Carathéodory geodesics. Zbl 06903806
Monti, Roberto; Pigati, Alessandro; Vittone, Davide
6
2018
On tangent cones to length minimizers in Carnot-Carathéodory spaces. Zbl 1397.53047
Monti, Roberto; Pigati, Alessandro; Vittone, Davide
5
2018
Improved Lipschitz approximation of \(H\)-perimeter minimizing boundaries. Zbl 1372.49052
Monti, Roberto; Stefani, Giorgio
4
2017
Variation formulas for \(H\)-rectifiable sets. Zbl 1366.49046
Fogagnolo, Mattia; Monti, Roberto; Vittone, Davide
2
2017
Isoperimetric problem in \(H\)-type groups and Grushin spaces. Zbl 1368.49051
Franceschi, Valentina; Monti, Roberto
12
2016
Height estimate and slicing formulas in the Heisenberg group. Zbl 1326.49068
Monti, Roberto; Vittone, Davide
9
2015
Quantitative isoperimetric inequalities in \(\mathbb H^n\). Zbl 1326.49075
Franceschi, Valentina; Leonardi, Gian Paolo; Monti, Roberto
7
2015
Minimal surfaces and harmonic functions in the Heisenberg group. Zbl 1321.49071
Monti, Roberto
4
2015
Corners in non-equiregular sub-Riemannian manifolds. Zbl 1333.53045
Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide
3
2015
Regularity results for sub-Riemannian geodesics. Zbl 1288.53026
Monti, Roberto
11
2014
The regularity problem for sub-Riemannian geodesics. Zbl 1301.53028
Monti, Roberto
11
2014
Rearrangements in metric spaces and in the Heisenberg group. Zbl 1301.30059
Monti, Roberto
8
2014
Isoperimetric problem and minimal surfaces in the Heisenberg group. Zbl 1326.53081
Monti, Roberto
5
2014
Lipschitz approximation of \(\mathbb H\)-perimeter minimizing boundaries. Zbl 1290.49088
Monti, Roberto
3
2014
A family of nonminimizing abnormal curves. Zbl 1304.53025
Monti, Roberto
2
2014
Extremal curves in nilpotent Lie groups. Zbl 1278.53035
Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide
16
2013
Frequency of Sobolev and quasiconformal dimension distortion. Zbl 1266.28003
Balogh, Zoltán M.; Monti, Roberto; Tyson, Jeremy T.
12
2013
Sets with finite \(\mathbb{H}\)-perimeter and controlled normal. Zbl 1257.49047
Monti, Roberto; Vittone, Davide
14
2012
Regularity properties of \(H\)-convex sets. Zbl 1262.32014
Arena, G.; Caruso, A. O.; Monti, R.
6
2012
Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids. Zbl 1250.32034
Monti, Roberto; Morbidelli, Daniele
2
2012
Exceptional sets for self-similar fractals in Carnot groups. Zbl 1195.22005
Balogh, Zoltán M.; Berger, Reto; Monti, Roberto; Tyson, Jeremy T.
1
2010
Convex isoperimetric sets in the Heisenberg group. Zbl 1170.49037
Monti, Roberto; Rickly, Matthieu
20
2009
End-point equations and regularity of sub-Riemannian geodesics. Zbl 1189.53033
Leonardi, Gian Paolo; Monti, Roberto
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
14
2008
Heisenberg isoperimetric problem. The axial case. Zbl 1149.49036
Monti, Roberto
14
2008
Positive solutions of anisotropic yamabe-type equations in \(\mathbb {R}^n\). Zbl 1157.35042
Monti, Roberto; Morbidelli, Daniele
2
2008
Levi umbilical surfaces in complex space. Zbl 1117.32022
Monti, Roberto; Morbidelli, Daniele
7
2007
Kelvin transform for Grushin operators and critical semilinear equations. Zbl 1094.35036
Monti, Roberto; Morbidelli, Daniele
38
2006
Sobolev inequalities for weighted gradients. Zbl 1138.46024
Monti, Roberto
15
2006
Regular domains in homogeneous groups. Zbl 1067.43003
Monti, Roberto; Morbidelli, Daniele
29
2005
Geodetically convex sets in the Heisenberg group. Zbl 1077.53030
Monti, Roberto; Rickly, Matthieu
18
2005
Non-tangentially accessible domains for vector fields. Zbl 1143.57013
Monti, Roberto; Morbidelli, Daniele
10
2005
Isoperimetric inequality in the Grushin plane. Zbl 1076.53035
Monti, Roberto; Morbidelli, Daniele
22
2004
John domains for the control distance of diagonal vector fields. Zbl 1074.30021
Monti, Roberto; Morbidelli, Daniele
3
2004
Accessible domains in the Heisenberg group. Zbl 1037.43009
Balogh, Zoltán M.; Monti, Roberto
1
2004
Brunn-Minkowski and isoperimetric inequality in the Heisenberg group. Zbl 1075.49017
Monti, Roberto
15
2003
Trace theorems for vector fields. Zbl 1030.46041
Monti, Roberto; Morbidelli, Daniele
17
2002
Surface measures in Carnot-Carathéodory spaces. Zbl 1032.49045
Monti, Roberto; Serra Cassano, Francesco
71
2001
Some properties of Carnot-Carath’eodory balls in the Heisenberg group. Zbl 1197.53064
Monti, Roberto
26
2000
all top 5

Cited by 321 Authors

25 Monti, Roberto
14 Vittone, Davide
12 Morbidelli, Daniele
10 Ritoré, Manuel
9 Franchi, Bruno
8 Citti, Giovanna
8 Le Donne, Enrico
8 Magnani, Valentino
7 Franceschi, Valentina
7 Rosales, César
7 Serra Cassano, Francesco
7 Tyson, Jeremy T.
7 Yang, Qiaohua
6 Balogh, Zoltán M.
6 Ferrari, Fausto
6 Manfredi, Juan J.
6 Martino, Vittorio
6 Montanari, Annamaria
6 Montefalcone, Francescopaolo
6 Pinamonti, Andrea
5 Baldi, Annalisa
5 Capogna, Luca
5 Garofalo, Nicola
5 Manfredini, Maria
4 Bonfiglioli, Andrea
4 Dragoni, Federica
4 Hurtado, Ana
4 Lanconelli, Ermanno
4 Leonardi, Gian Paolo
4 Tralli, Giulio
3 Ambrosio, Luigi
3 Barilari, Davide
3 Bieske, Thomas J.
3 Calogero, Andrea
3 Cheng, Jih-Hsin
3 Giovannardi, Gianmarco
3 Hakavuori, Eero
3 Hencl, Stanislav
3 Honzík, Petr
3 Nicolussi Golo, Sebastiano
3 Pansu, Pierre
3 Pini, Rita
3 Ricciotti, Diego
3 Rigot, Séverine
3 Serra, Elena
3 Su, Dan
3 Valdinoci, Enrico
3 Wei, Yunfeng
3 Yang, Hongwei
3 Yang, Xiaoping
2 Arcozzi, Nicola
2 Bardi, Martino
2 Birindelli, Isabeau
2 Boarotto, Francesco
2 Boscain, Ugo
2 Caravenna, Laura
2 Castorina, Daniele
2 Cavalletti, Fabio
2 Cung The Anh
2 Danielli, Donatella
2 Domokos, András
2 Don, Sebastiano
2 Fabbri, Isabella
2 Figalli, Alessio
2 Flynn, Joshua
2 Francu, Martin
2 Galli, Matteo
2 Górny, Wojciech
2 Hajłasz, Piotr
2 He, Guoqing
2 Huang, Yen-Chang
2 Hwang, Jenn-Fang
2 Inglis, James D.
2 Julia, Antoine
2 Kogoj, Alessia Elisabetta
2 Kong, Yinying
2 Lee, Jihoon
2 Li, Guoliang
2 Liu, Hairong
2 Loiudice, Annunziata
2 Luan, Jingwen
2 Lukyanenko, Anton
2 Lytchak, Alexander
2 My, Bui Kim
2 Nguyen Cong Phuc
2 Nyström, Kaj
2 Ottazzi, Alessandro
2 Pigati, Alessandro
2 Prandi, Dario
2 Rifford, Ludovic
2 Romney, Matthew
2 Sandeep, Kunnath
2 Sigalotti, Mario
2 Song, Yingqing
2 Sonner, Stefanie
2 Speight, Gareth
2 Stefani, Giorgio
2 Stroffolini, Bianca
2 Tesi, Maria Carla
2 Warhurst, Ben
...and 221 more Authors
all top 5

Cited in 93 Serials

23 Calculus of Variations and Partial Differential Equations
20 The Journal of Geometric Analysis
16 Journal of Mathematical Analysis and Applications
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Journal d’Analyse Mathématique
10 Journal of Differential Equations
9 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Advances in Mathematics
8 Mathematische Annalen
7 Journal of Functional Analysis
6 Mathematische Zeitschrift
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
6 Complex Variables and Elliptic Equations
6 Analysis and Geometry in Metric Spaces
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Potential Analysis
5 Annales Academiae Scientiarum Fennicae. Mathematica
5 Communications in Contemporary Mathematics
4 Inventiones Mathematicae
4 Proceedings of the American Mathematical Society
4 Acta Mathematica Sinica. English Series
4 Advanced Nonlinear Studies
3 Geometriae Dedicata
3 Journal für die Reine und Angewandte Mathematik
3 Transactions of the American Mathematical Society
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Revista Matemática Iberoamericana
3 Geometric and Functional Analysis. GAFA
3 Journal of Convex Analysis
3 Communications on Pure and Applied Analysis
3 Analysis and Mathematical Physics
2 Annales de l’Institut Fourier
2 Archiv der Mathematik
2 Illinois Journal of Mathematics
2 Mathematische Nachrichten
2 Mathematica Scandinavica
2 Monatshefte für Mathematik
2 SIAM Journal on Control and Optimization
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Conformal Geometry and Dynamics
2 Journal of Inequalities and Applications
2 Journal of Dynamical and Control Systems
2 Journal of Evolution Equations
2 Advances in Calculus of Variations
2 Bulletin of Mathematical Sciences
2 Annales Fennici Mathematici
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Israel Journal of Mathematics
1 Mathematical Notes
1 Nonlinearity
1 Rocky Mountain Journal of Mathematics
1 Journal of Geometry and Physics
1 Journal of the Korean Mathematical Society
1 Real Analysis Exchange
1 Rendiconti del Seminario Matematico della Università di Padova
1 Ricerche di Matematica
1 Siberian Mathematical Journal
1 Acta Applicandae Mathematicae
1 Annals of Global Analysis and Geometry
1 Publicacions Matemàtiques
1 Forum Mathematicum
1 Science in China. Series A
1 Differential Geometry and its Applications
1 Communications in Partial Differential Equations
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Journal of Mathematical Imaging and Vision
1 Applied Mathematics. Series B (English Edition)
1 Journal of Mathematical Sciences (New York)
1 Kyushu Journal of Mathematics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Advances in Differential Equations
1 Discrete and Continuous Dynamical Systems
1 Annals of Mathematics. Second Series
1 Trudy Instituta Matematiki
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Computational Methods and Function Theory
1 Mediterranean Journal of Mathematics
1 Advances in Difference Equations
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Boundary Value Problems
1 Banach Journal of Mathematical Analysis
1 Set-Valued and Variational Analysis
1 Science China. Mathematics
1 Annals of Functional Analysis
1 Journal of Spectral Theory
1 Arabian Journal of Mathematics
1 Forum of Mathematics, Sigma
1 AIMS Mathematics
1 Mathematics in Engineering

Citations by Year