Full Professor, Department of Mathematics, University of Trento

Email: gianpaolo.leonardi AT unitn.it

Available papers (40):

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• M. Datres - G. P. Leonardi - A. Figalli - D. Sutter (preprint)
  A Two-Scale Complexity Measure for Deep Learning Models (2024)
• G. P. Leonardi - G. Vianello (Preprint)
  A Vertex-Skipping property for almost-minimizers of the relative perimeter in convex sets (2024)
• G. E. Comi - G. P. Leonardi (Preprint)
  Measures in the dual of $BV$: perimeter bounds and relations with divergence-measure fields (2024)
• G. P. Leonardi - G. Vianello (Submitted Paper)
  Free-Boundary Monotonicity for Almost-Minimizers of the Relative Perimeter (2024)
• G. P. Leonardi - G. E. Comi (preprint)
  The prescribed mean curvature measure equation in non-parametric form (2023)
• M. Cicalese - L. Kreutz - G. P. Leonardi (Comm. Math. Phys.)
  Emergence of Wulff-Crystals from atomistic systems on the FCC and HCP lattices (2023)
• G. P. Leonardi - G. Saracco (Calc. Var. Partial Differential Equations)
  The isoperimetric problem in $2$d domains without necks (2022)
• G. P. Leonardi - G. Saracco (Adv. Calc. Var.)
  Rigidity and trace properties of divergence-measure vector fields (2022)
• M. Spallanzani - G. P. Leonardi - L. Benini (Proceedings: IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR))
  Training Quantised Neural Networks with STE Variants: the Additive Noise Annealing Algorithm (2022)
• G. P. Leonardi - G. Saracco (ESAIM Control Optim. Calc. Var.)
  Minimizers of the prescribed curvature functional in a Jordan domain with no necks (2020)
• M. Cicalese - G. P. Leonardi (Commun. Math. Phys.)
  Maximal fluctuations on periodic lattices: an approach via quantitative Wulff inequalities (2019)
• E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone (Comm. Anal. and Geom.)
  Extremal polynomials in stratified groups (2018)
• D. Krejcirik - G. P. Leonardi - P. Vlachopulos (Arkiv der Mathematik)
  The Cheeger constant of curved tubes (2018)
• G. P. Leonardi - M. Ritoré - E. Vernadakis (Accepted Paper: Mem. AMS)
  Isoperimetric inequalities in unbounded convex bodies (2018)
• G. P. Leonardi - G. Saracco (Ann. Mat. Pura Appl. (4))
  Two examples of minimal Cheeger sets in the plane (2018)
• G. P. Leonardi - G. Saracco (NoDEA Nonlinear Differential Equations Appl.)
  The prescribed mean curvature equation in weakly regular domains (2018)
• G. P. Leonardi - R. Neumayer - G. Saracco (Calc. Var. Partial Differential Equations)
  The Cheeger constant of a Jordan domain without necks (2017)
• M. Cicalese - G. P. Leonardi - F. Maggi (Interfaces and Free Boundaries)
  Sharp stability inequalities for planar double bubbles (2017)
• B. Buet - G. P. Leonardi (Accepted Paper: Ann. Acad. Sci. Fenn.)
  Recovering measures from approximate values on balls (2016)
• B. Buet - G. P. Leonardi - S. Masnou (Preprint)
  A varifold approach to surface approximation (2016)
• G. P. Leonardi - A. Pratelli (Calc. Var. PDE)
  On the Cheeger sets in strips and non-convex domains (2016)
• M. Cicalese - G. P. Leonardi - F. Maggi (Indiana U Math Journal)
  Improved convergence theorems for bubble clusters. I. The planar case (2016)
• V. Franceschi - G. P. Leonardi - R. Monti (Calc. Var. Partial Differential Equations)
  Quantitative isoperimetric inequalities in $\mathbb H ^n$ (2015)
• E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone (ESAIM Control Optim. Calc. Var.)
  Corners in non-equiregular sub-Riemannian manifolds (2015)
• G. P. Leonardi - F. Maggi (Accepted Paper: Indiana U Math Journal)
  Improved convergence theorems for bubble clusters. II. The three-dimensional case (2015)
• G. P. Leonardi (Preprint)
  An overview on the Cheeger problem (2015)
• E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone (GAFA Geometric and Functional Analysis)
  Extremal curves in nilpotent Lie groups (2013)
• M. Cicalese - G. P. Leonardi (J. Eur. Math. Soc. (JEMS))
  Best constants for the isoperimetric inequality in quantitative form (2013)
• G. P. Leonardi - S. Rigot - D. Vittone (Rev. Mat. Iberoam.)
  Isodiametric sets in the Heisenberg group (2012)
• M. Cicalese - G. P. Leonardi (Arch. Rat. Mech. Anal.)
  A Selection Principle for the Sharp Quantitative Isoperimetric Inequality (2012)
• G. P. Leonardi - V. Magnani (J. Math. Anal. Appl. )
  Intersections of intrinsic submanifolds in the Heisenberg group (2011)
• G. P. Leonardi - S. Masnou (Adv. Calc. Var.)
  Locality of the mean curvature of rectifiable varifolds (2009)
• G. P. Leonardi - P. Tilli (J. Math. Pures Appl.)
  On a constrained variational problem in the vector-valued case (2006)
• G. P. Leonardi - R. Monti (Accepted Paper: GAFA)
  End-point equations and regularity of sub-Riemannian geodesics (2006)
• G. P. Leonardi - S. Masnou (Annali di Mat. Pura Appl.)
  On the isoperimetric problem in the Heisenberg group ${\mathbf{H^n}}$ (2005)
• G. P. Leonardi (Boll. UMI)
  Gamma-convergence of constrained Dirichlet functionals (2003)
• G. P. Leonardi - I. Tamanini (Adv. Math. Sci. Appl.)
  Metric spaces of partitions, and Caccioppoli partitions (2002)
• G. P. Leonardi (Manuscripta Math.)
  Partitions with prescribed mean curvatures (2002)
• G. P. Leonardi - S. Rigot (Accepted Paper: Houston J. Math.)
  Isoperimetric sets in Carnot groups (2002)
• G. P. Leonardi (Proceedings of the Royal Society of Edinburgh)
  Infiltrations in immiscible fluids systems (2001)

Seminars:

• 9 sep 2021: Some new results on the prescribed mean curvature problem
• 10 feb 2021: A refined form of Cheeger's inequality

Speaker:

• 30 may 2024 - 30 may 2024: One-Day Workshop on Applied Mathematics
• 29 may 2023 - 2 jun 2023: Geometric Measure Theory, Bressanone 2023
• 5 sep 2022 - 9 sep 2022: Anisotropic isoperimetric problems & related topics
• 4 jul 2022 - 6 jul 2022: Calculus of Variations in Lille - 3rd edition
• 21 feb 2022 - 25 feb 2022: Free Boundary Problems and Related Evolution Equations
• 6 sep 2021 - 10 sep 2021: Variational methods and applications
• 30 aug 2021 - 3 sep 2021: Geometric Measure Theory and applications
• 14 sep 2018 - 14 sep 2018: A sub-Riemannian day in Padova
• 26 jun 2017 - 30 jun 2017: Curves and Networks in Geometric Analysis

Organizer:

• 10 feb 2025 - 14 feb 2025: XXXIV Convegno Nazionale di Calcolo delle Variazioni
• 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