Geometric analysis of sub-Riemannian spaces through interpolation inequalities

Project Information

GeoSub

Grant agreement ID: 945655

DOI 10.3030/945655

EC signature date 6 August 2020

Start date 1 January 2022

End date 31 December 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 171 465,00

EU contribution € 1 171 465,00

Coordinated by

SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE
Italy

Publications

Peer reviewed articles (19)

Existence and uniqueness theorems for some semi-linear equations on locally finite graphs

Author(s): Andrea Pinamonti, Giorgio Stefani
Published in: Proceedings of the American Mathematical Society, 2022, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/16046

H-type foliations

Author(s): Fabrice Baudoin; Erlend Grong; Luca Rizzi; Gianmarco Vega-Molino
Published in: Differential Geometry and its Applications, 2022, ISSN 0926-2245
Publisher: Elsevier BV
DOI: 10.1016/j.difgeo.2022.101952

Weak-strong uniqueness and vanishing viscosity for incompressible Euler equations in exponential spaces

Author(s): Luigi De Rosa, Marco Inversi, Giorgio Stefani
Published in: Journal of Differential Equations, 2023, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2023.05.019

Fractional divergence-measure fields, Leibniz rule and Gauss-Green formula

Author(s): Giovanni E. Comi, Giorgio Stefani
Published in: Bollettino dell'Unione Matematica Italiana, 2023, ISSN 1972-6724
Publisher: Unione Matematica Italiana
DOI: 10.1007/s40574-023-00370-y

On the N-Cheeger problem for component-wise increasing norms

Author(s): Giorgio Saracco, Giorgio Stefani
Published in: Journal de Mathématiques Pures et Appliquées, Issue 189, 2024, Page(s) 103593, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2024.06.008

On Double Hölder Regularity of the Hydrodynamic Pressure in Bounded Domains

Author(s): Luigi De Rosa, Mickaël Latocca, Giorgio Stefani
Published in: Calculus of Variations and Partial Differential Equations, 2023, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-023-02432-7

Failure of curvature-dimension conditions on sub-Riemannian manifolds via tangent isometries

Author(s): Luca Rizzi, Giorgio Stefani
Published in: Journal of Functional Analysis, 2023, ISSN 1096-0783
Publisher: Elsevier
DOI: 10.1016/j.jfa.2023.110099

Non-local BV functions and a denoising model with <i>L</i> ¹ fidelity

Author(s): Konstantinos Bessas, Giorgio Stefani
Published in: Advances in Calculus of Variations, 2024, ISSN 1864-8258
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/acv-2023-0082

On the convex components of a set in Rn

Author(s): Flavia Giannetti, Giorgio Stefani
Published in: Forum Mathèmaticum, 2023, ISSN 1435-5337
Publisher: De Gruyter
DOI: 10.1515/forum-2022-0203

On the Steiner property for planar minimizing clusters. The anisotropic case

Author(s): Valentina Franceschi, Aldo Pratelli, Giorgio Stefani
Published in: Journal de l’École polytechnique — Mathématiques, Issue 10, 2023, Page(s) 989-1045, ISSN 2270-518X
Publisher: Les Éditions de l'École Polytechnique
DOI: 10.5802/jep.238

Existence and stability of weak solutions of the Vlasov–Poisson system in localised Yudovich spaces

Author(s): Gianluca Crippa, Marco Inversi, Chiara Saffirio, Giorgio Stefani
Published in: Nonlinearity, Issue 37, 2024, Page(s) 095015, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ad5bb3

Weyl's law for singular Riemannian manifolds

Author(s): Y. Chitour, D. Prandi, L. Rizzi
Published in: Journal de Mathématiques Pures et Appliquées, Issue 181, 2024, Page(s) 113-151, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2023.10.004

The Cheeger problem in abstract measure spaces

Author(s): Valentina Franceschi, Andrea Pinamonti, Giorgio Saracco, Giorgio Stefani
Published in: Journal of the London Mathematical Society, Issue 109, 2024, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12840

Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry

Author(s): Samuël Borza, Wilhelm Klingenberg
Published in: Nonlinear Analysis, Issue 239, 2024, Page(s) 113421, ISSN 0362-546X
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.na.2023.113421

On the Steiner property for planar minimizing clusters. The isotropic case

Author(s): Valentina Franceschi, Aldo Pratelli, Giorgio Stefani
Published in: Communications in Contemporary Mathematics, 2023, ISSN 0219-1997
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0219199722500407

Full double Hölder regularity of the pressure in bounded domains

Author(s): Luigi De Rosa, Mickaël Latocca, Giorgio Stefani
Published in: International Mathematics Research Notices, 2023, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnad197

An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces

Author(s): Gianluca Crippa, Giorgio Stefani
Published in: Calculus of Variations and Partial Differential Equations, Issue 63, 2024, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-024-02750-4

Regularity and Continuity properties of the sub-Riemannian exponential map

Author(s): Samuël Borza, Wilhelm Klingenberg
Published in: Journal of Dynamical and Control Systems, 2023, ISSN 1573-8698
Publisher: Springer
DOI: 10.1007/s10883-022-09624-y

Failure of the local chain rule for the fractional variation

Author(s): Giovanni E. Comi, Giorgio Stefani
Published in: Portugaliae Mathematica, 2023, ISSN 0032-5155
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/pm/2096

Other (9)

Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler Heisenberg groups

Author(s): Samuël Borza, Kenshiro Tashiro
Published in: 2023
Publisher: Arxiv
DOI: 10.48550/arxiv.2305.16722

Relative heat content asymptotics for sub-Riemannian manifolds

Author(s): Agrachev, Andrei; Rizzi, Luca; Rossi, Tommaso
Published in: 2021
Publisher: Arxiv
DOI: 10.48550/arxiv.2110.03926

On sets with finite distributional fractional perimeter

Author(s): Giovanni E. Comi, Giorgio Stefani
Published in: 2023
Publisher: Arxiv
DOI: 10.48550/arxiv.2303.10989

On the monotonicity of weighted perimeters of convex bodies

Author(s): Giorgio Saracco, Giorgio Stefani
Published in: 2023
Publisher: Arxiv
DOI: 10.48550/arxiv.2306.07770

Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures

Author(s): Davide Barilari, Andrea Mondino, Luca Rizzi
Published in: 2022
Publisher: Arxiv
DOI: 10.48550/arxiv.2211.07762

Lagrangian stability for a system of non-local continuity equations under Osgood condition

Author(s): Marco Inversi, Giorgio Stefani
Published in: 2023
Publisher: Arxiv
DOI: 10.48550/arxiv.2301.11822

Comparison theorems on H-type sub-Riemannian manifolds

Author(s): Fabrice Baudoin, Erlend Grong, Gianmarco Molino, Luca Rizzi
Published in: 2019
Publisher: Arxiv
DOI: 10.48550/arxiv.1909.03532

Normal forms for the sub-Riemannian exponential map of $\mathbb{G}_\alpha$, $\mathrm{SU}(2)$, and $\mathrm{SL}(2)$

Author(s): Borza, Samuël
Published in: 2023
Publisher: Arxiv
DOI: 10.48550/arxiv.2302.00524

Symmetrized and non-symmetrized Asymptotic Mean Value Laplacian in metric measure spaces

Author(s): Andreas Minne, David Tewodrose
Published in: 2022
Publisher: Arxiv
DOI: 10.48550/arxiv.2202.09295