Full Professor, Dip. Matematica, Univ. di Padova

Email: davide.vittone AT unipd.it

Home-page: https://davidevittonewebsite.wordpress.com/

Available papers (43):

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• M. Di Marco - A. Julia - S. Nicolussi Golo - D. Vittone (preprint)
  Submanifolds with boundary and Stokes' Theorem in Heisenberg groups (2024)
• M. Di Marco - A. Pinamonti - D. Vittone - K. Zambanini (Preprint)
  Stepanov Differentiability Theorem for intrinsic graphs in Heisenberg groups (2024)
• C. De Lellis - F. Glaudo - A. Massaccesi - D. Vittone (Preprint)
  Besicovitch's $\frac{1}{2}$ problem and linear programming (2024)
• D. Vittone (Forum Math. Sigma)
  Lipschitz graphs and currents in Heisenberg groups (2022)
• A. Julia - S. Nicolussi Golo - D. Vittone (Math. Z.)
  Area of intrinsic graphs and coarea formula in Carnot Groups (2022)
• A. Julia - S. Nicolussi Golo - D. Vittone (Accepted Paper: Int. Math. Res. Not. IMRN)
  Lipschitz functions on submanifolds in Heisenberg groups (2022)
• F. Boarotto - L. Nalon - D. Vittone (Preprint)
  The Sard problem in step 2 and in filiform Carnot groups (2022)
• F. Boarotto - L. Caravenna - F. Rossi - D. Vittone (Systems Control Lett.)
  On the Lebesgue measure of the boundary of the evoluted set (2021)
• A. Julia - S. Nicolussi Golo - D. Vittone (Bull. Lond. Math. Soc.)
  Nowhere differentiable intrinsic Lipschitz graphs (2021)
• F. Boarotto - D. Vittone (J. Differential Equations)
  A dynamical approach to the Sard problem in Carnot groups (2020)
• S. Don - E. Le Donne - T. Moisala - D. Vittone (Accepted Paper: Indiana Univ. Math. J.)
  A rectifiability result for finite-perimeter sets in Carnot groups (2019)
• S. Don - D. Vittone (Ann. Acad. Sci. Fenn. Math.)
  A compactness result for BV functions in metric spaces (2019)
• S. Don - D. Vittone (J. Math. Anal. Appl.)
  Fine properties of functions with bounded variation in Carnot-Carathéodory spaces (2019)
• S. Don - A. Massaccesi - D. Vittone (J. Funct. Anal.)
  Rank-one theorem and subgraphs of BV functions in Carnot groups (2019)
• A. Ottazzi - D. Vittone (ESAIM Control Optim. Calc. Var.)
  On the codimension of the abnormal set in step two Carnot groups (2019)
• A. Massaccesi - D. Vittone (J. Eur. Math. Soc. (JEMS))
  An elementary proof of the rank-one theorem for BV functions (2019)
• R. Monti - A. Pigati - D. Vittone (SIAM J. Control Optim. 56 (2018))
  On tangent cones to length minimizers in Carnot-Carathéodory spaces (2018)
• R. Monti - A. Pigati - D. Vittone (Calc. Var. Partial Differential Equations 57)
  Existence of tangent lines to Carnot-Carathéodory geodesics (2018)
• E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone (Comm. Anal. and Geom.)
  Extremal polynomials in stratified groups (2018)
• M. Fogagnolo - R. Monti - D. Vittone (Ann. Ac. Sci. Fennicae)
  Variation formulas for H-rectifiable sets (2017)
• E. Le Donne - R. Montgomery - A. Ottazzi - P. Pansu - D. Vittone (Ann. Inst. H. Poincaré Anal. Non Linéaire)
  Sard Property for the endpoint map on some Carnot groups (2016)
• R. Monti - D. Vittone (Analysis and PDE)
  Height estimate and slicing formulas in the Heisenberg group (2015)
• E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone (ESAIM Control Optim. Calc. Var.)
  Corners in non-equiregular sub-Riemannian manifolds (2015)
• A. Pinamonti - F. Serra Cassano - G. Treu - D. Vittone (Ann. Sc. Norm. Super. Pisa Cl. Sci. (5))
  BV Minimizers of the area functional in the Heisenberg group under the bounded slope condition (2015)
• V. Magnani - J. T. Tyson - D. Vittone (J. Anal. Math.)
  On transversal submanifolds and their measure (2015)
• D. Vittone (Geometric measure theory and real analysis, CRM Series, Ed. Norm., Pisa. )
  The regularity problem for sub-Riemannian geodesics (2014)
• F. Serra Cassano - D. Vittone (Adv. Calc. Var.)
  Graphs of bounded variation, existence and local boundedness of non-parametric minimal surfaces in Heisenberg groups (2014)
• A. Marigonda - K. T. Nguyen - D. Vittone (Large-scale scientific computing, Lecture Notes in Comput. Sci., 8353, Springer, Heidelberg.)
  BV regularity and differentiability properties of a class of upper semicontinuous functions (2014)
• F. Dragoni - J. Manfredi - D. Vittone (Trans. Amer. Math. Soc.)
  Weak Fubini Property and infinity Harmonic Functions in Riemannian and Sub-Riemannian Manifolds (2013)
• A. Marigonda - T. K. Nguyen - D. Vittone (Indiana Univ. Math. J.)
  Some regularity results for a class of upper semicontinuous functions (2013)
• E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone (GAFA Geometric and Functional Analysis)
  Extremal curves in nilpotent Lie groups (2013)
• R. Monti - D. Vittone (Math. Z.)
  Sets with finite $\mathbb H$-perimeter and controlled normal (2012)
• G. P. Leonardi - S. Rigot - D. Vittone (Rev. Mat. Iberoam.)
  Isodiametric sets in the Heisenberg group (2012)
• D. Vittone (Ann. Scuola Norm. Sup. Pisa Cl. Sci.)
  Lipschitz surfaces, perimeter and trace theorems for BV functions in Carnot-Carathèodory spaces (2012)
• T. K. Nguyen - D. Vittone (J. Convex Anal.)
  Rectifiability of special singularities of non-Lipschitz functions (2012)
• F. Bigolin - D. Vittone (Publ. Mat.)
  Some remarks about parametrizations of intrinsic regular surfaces in the Heisenberg group (2010)
• A. Cañete - Michele Miranda Jr. - D. Vittone (J. Geom. Anal.)
  Some isoperimetric problems in planes with density (2010)
• V. Magnani - D. Vittone (J. Reine Angew. Math.)
  An intrinsic measure for submanifolds in stratified groups (2008)
• R. Monti - F. Serra Cassano - D. Vittone (Boll. Unione Mat. Ital. (9))
  A negative answer to the Bernstein problem for intrinsic graphs in the Heisenberg group (2008)
• D. Vittone (Ph.D. Thesis: Theses of Scuola Normale Superiore di Pisa (New Series). Edizioni della Normale, Pisa.)
  Submanifolds in Carnot groups (2008)
• V. Barone Adesi - F. Serra Cassano - D. Vittone (Calc. Var. & PDEs)
  The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations (2007)
• L. Ambrosio - F. Serra Cassano - D. Vittone (J. Geom. Anal.)
  Intrinsic regular hypersurfaces in Heisenberg groups (2006)
• D. Vittone (Degree Thesis)
  Regolarità delle geodetiche nei gruppi di Carnot (2003)

Seminars:

• 26 sep 2018: Rectifiability issues in sub-Riemannian geometry
• 30 sep 2013: The regularity problem for sub-Riemannian geodesics
• 20 apr 2011: Lipschitz surfaces, perimeter and traces of BV functions in Carnot-Carathéodory spaces
• 11 may 2006: An intrinsic measure for submanifolds in stratified groups

Speaker:

• 25 nov 2024 - 29 nov 2024: Frontiers in Sub-Riemannian Geometry (Aux frontières de la géométrie sous-riemannienne)
• 30 jun 2022 - 1 jul 2022: Geometric Analysis in Metric Measure Spaces
• 27 jun 2022 - 29 jun 2022: 12th School on Analysis and Geometry in Metric
• 16 apr 2019 - 17 apr 2019: Some topics of Geometric Analysis and Geometric Measure Theory
• 16 oct 2018 - 17 oct 2018: Sub-Riemannian days 2018
• 24 sep 2018 - 28 sep 2018: Workshop MAR: Metric Analysis and Regularity
• 25 oct 2016 - 28 oct 2016: Workshop in Geometric Measure Theory, Shape Optimisation and Free Boundaries
• 30 sep 2013 - 4 oct 2013: ERC-School on Geometric Measure Theory and Real Analysis
• 10 oct 2011 - 14 oct 2011: ERC Workshop on Geometric Analysis on sub-Riemannian and Metric Spaces

Organizer:

• 25 may 2020 - 29 may 2020: Conference: Sub-Riemannian Geometry and Beyond, III. A gist on Lie groups in Pisa
• 19 may 2020 - 23 may 2020: Mini Courses: Sub-Riemannian Geometry and Beyond, III. A gist on Lie groups in Pisa
• 16 jan 2020 - 17 jan 2020: Geometric Measure Theory in Padova
• 16 apr 2019 - 17 apr 2019: Some topics of Geometric Analysis and Geometric Measure Theory
• 14 sep 2018 - 14 sep 2018: A sub-Riemannian day in Padova
• 11 jun 2018 - 15 jun 2018: Geometric Measure Theory in Verona