Full Professor, Dip. Mat. Univ. Trento

Email: cassano AT alpha.science.unitn.it

Available papers (30):

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• V. De Cicco - F. Serra Cassano (Accepted Paper: ESAIM: Control, Optimisation and Calculus of Variations)
  Relaxation and optimal finiteness domain for degenerate quadratic functionals - one dimensional case (2024)
• A. Pinamonti - F. Serra Cassano - K. Zambanini (Preprint)
  On some intrinsic differentiability properties for Absolutely Continuous functions between Carnot groups and the Area formula (2024)
• L. Ambrosio - S. Nicolussi Golo - F. Serra Cassano (preprint)
  Classical flows of vector fields with exponential or sub-exponential summability (2022)
• A. Maione - A. Pinamonti - F. Serra Cassano (SIAM J. Math. Anal.)
  Γ-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers (2022)
• L. Ambrosio - S. Nicolussi Golo - F. Serra Cassano (preprint)
  Optimal $C^\infty$-approximation of functions with exponentially or sub-exponentially integrable derivative (2022)
• A. Maione - A. Pinamonti - F. Serra Cassano (J. Math. Pures Appl.)
  $\Gamma$-convergence for functionals depending on vector fields I. Integral representation and compactness. (2020)
• M. Vedovato - F. Serra Cassano (Le Matematiche)
  The Bernstein problem in Heisenberg groups (2020)
• S. Nicolussi Golo - F. Serra Cassano (preprint)
  The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group (2018)
• 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)
• 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)
• G. Citti - M. Manfredini - A. Pinamonti - F. Serra Cassano (Accepted Paper: Calc. Var. Partial Differential Equations )
  Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group (2013)
• G. Citti - M. Manfredini - A. Pinamonti - F. Serra Cassano (Accepted Paper: JMPA)
  Poincaré-type inequality for Lipschitz continuous vector fields (2013)
• F. Bigolin - L. Caravenna - F. Serra Cassano (Preprint)
  INTRINSIC LIPSCHITZ GRAPHS IN HEISENBERG GROUPS AND CONTINUOUS SOLUTIONS OF BALANCE EQUATIONS (2012)
• F. Bigolin - F. Serra Cassano (Accepted Paper: Adv. Calc. Var.)
  Intrinsic regular graphs in Heisenberg groups vs. weak solutions of non linear first-order PDEs (2009)
• F. Bigolin - F. Serra Cassano (Accepted Paper: JMAA)
  Distributional solutions of Burgers' equation and intrinsic regular graphs in Heisenberg groups (2009)
• B. Franchi - R. Serapioni - F. Serra Cassano (Submitted Paper)
  Differentiability of intrinsic Lipschitz functions within Heisenberg 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)
• V. Barone Adesi - F. Serra Cassano - D. Vittone (Calc. Var. & PDEs)
  The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations (2007)
• B. Franchi - R. Serapioni - F. Serra Cassano (Accepted Paper: J. Nonlinear and Convex Analysis)
  Intrinsic Lipshitz graphs in Heisenebrg groups (2006)
• L. Ambrosio - F. Serra Cassano - D. Vittone (J. Geom. Anal.)
  Intrinsic regular hypersurfaces in Heisenberg groups (2006)
• B. Franchi - R. Serapioni - F. Serra Cassano (Lectures Notes of Seminario Interdisciplinare di Matematica)
  Intrinsic submanifolds, graphs and currents in Heisenberg groups (2005)
• B. Kirchheim - F. Serra Cassano (Ann. Scuola Norm.Sup. Pisa Cl.Sci. (5))
  Rectifiability and parametrization of intrinsic regular surfaces in the Heisenberg group (2004)
• B. Franchi - R. Serapioni - F. Serra Cassano (Accepted Paper: Advances in Mathematics)
  Regular submanifolds, graphs and area formula in Heisenberg groups (2004)
• R. Monti - F. Serra Cassano (J. Convex Anal.)
  Degenerate perturbations of a two-phase transition model (2003)
• Z. Balogh - M. Rickly - F. Serra Cassano (Publ. Mat.)
  Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric (2003)
• B. Franchi - R. Serapioni - F. Serra Cassano (J.Geom.Anal.)
  On the structure of finite perimeter sets in step 2 Carnot groups (2003)
• B. Franchi - R. Serapioni - F. Serra Cassano (Mathematica Bohemica)
  Rectifiability and perimeter in step 2 groups (2002)
• B. Franchi - R. Serapioni - F. Serra Cassano (Accepted Paper: Comm. Analysis and Geometry)
  Regular hypersurfaces, Intrinsic perimeter and implicit function theorem in Carnot groups (2002)
• B. Franchi - R. Serapioni - F. Serra Cassano (Math.Ann.)
  Rectifiability and Perimeter in the Heisenberg Group (2001)
• R. Monti - F. Serra Cassano (Calc. Var. Partial Differential Equations)
  Surface measures in Carnot- Caratheodory spaces (2001)

Seminars:

• 2 may 2002: Confronto tra rettificabilita' classica e intrinseca in gruppi di Carnot
• 2 may 2002: Confronto tra rettificabilita' classica e intrinseca in gruppi di Carnot

Speaker:

• 12 jun 2023 - 16 jun 2023: Calculus of Variations and Geometric Measure Theory
• 6 sep 2021 - 7 sep 2021: PaPa - Padua Paris sub-Riemannian seminar
• 10 feb 2020 - 12 feb 2020: Dispersive and subelliptic PDEs
• 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
• 29 may 2018 - 30 may 2018: New trends in PDE
• 29 may 2018 - 30 may 2018: New trends in PDEs
• 20 jun 2016 - 23 jun 2016: Singular Phenomena and Singular Geometries
• 10 sep 2012 - 12 sep 2012: Variational Models and Methods for Evolution
• 10 oct 2011 - 14 oct 2011: ERC Workshop on Geometric Analysis on sub-Riemannian and Metric Spaces

Organizer:

• 10 feb 2025 - 14 feb 2025: XXXIV Convegno Nazionale di Calcolo delle Variazioni
• 9 jun 2024 - 14 jun 2024: 13th School on Analysis and Geometry in Metric Spaces
• 12 feb 2024 - 16 feb 2024: XXXIII Convegno Nazionale di Calcolo delle Variazioni
• 8 may 2023 - 12 may 2023: XXXII Convegno Nazionale di Calcolo delle Variazioni
• 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
• 9 may 2022 - 13 may 2022: XXXI Convegno Nazionale di Calcolo delle Variazioni
• 24 jun 2019 - 28 jun 2019: 11th School on Analysis and Geometry in Metric Spaces
• 6 jul 2015 - 10 jul 2015: Nineth School on Analysis and Geometry in Metric Spaces
• 16 jun 2014 - 20 jun 2014: Eighth School on Analysis and Geometry in Metric Spaces
• 26 jan 2014 - 31 jan 2014: XXIV Convegno Nazionale di Calcolo delle Variazioni