cvgmt: Andrea Marchese

Calculus of Variations and Geometric Measure Theory

Andrea Marchese

[marchese]

Full Professor, Università di Trento

Email: andrea.marchese AT unitn.it

Home-page: https://sites.google.com/view/andrea-marchese/home

Available papers (44):

A. Marchese (Lecture Notes)
Grandezza topologica: teorema di Baire, gioco di Banach-Mazur e applicazioni (2026)
M. Bellettini - A. Marchese (Preprint)
A model of anisotropic branched optimal transport (2026)
C. De Lellis - J. Hirsch - A. Marchese - L. Spolaor - S. Stuvard (J. Funct. Anal.)
Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem (2026)
L. De Masi - A. Marchese (Preprint)
Lipschitz solvability of prescribed Jacobian and divergence for singular measures (2026)
A. Marchese (Proceedings)
A PDE perspective on the flat chain conjecture (2025)
G. Alberti - D. Bate - A. Marchese (J. Funct. Anal.)
On the closability of differential operators (2025)
J. Krukowski - A. Marchese (Preprint)
On the lower semicontinuity of the Lagrangian $H$-mass (2025)
L. De Masi - A. Marchese - A. Massaccesi (Preprint)
Variational models of robust optimal transport (2025)
C. De Lellis - J. Hirsch - A. Marchese - L. Spolaor - S. Stuvard (Nonlinear Anal.)
Excess decay for minimizing hypercurrents mod $2Q$ (2024)
L. De Masi - A. Marchese (J. Funct. Anal.)
A refined Lusin type theorem for gradients (2024)
A. Marchese - A. Merlo (Accepted Paper: Adv. Calc. Var.)
A simple proof of the $1$-dimensional flat chain conjecture (2024)
G. Caldini - A. Marchese - A. Merlo - S. Steinbrüchel (J. Math. Pures Appl.)
Generic uniqueness for the Plateau problem (2023)
C. De Lellis - J. Hirsch - A. Marchese - S. Stuvard (Comm. Pure Appl. Math.)
Area minimizing currents mod $2Q$: linear regularity theory (2022)
G. Alberti - A. Marchese (Preprint)
On the structure of flat chains with finite mass (2022)
M. Colombo - A. De Rosa - A. Marchese - P. Pegon - A. Prouff (Discrete and Continuous Dynamical Systems)
Stability of optimal traffic plans in the irrigation problem (2022)
G. Caldini - A. Marchese - S. Steinbrüchel (Calc. Var. PDE)
Generic uniqueness of optimal transportation networks (2022)
G. De Philippis - A. Marchese - A. Merlo - A. Pinamonti - F. Rindler (ARMA)
On the converse of Pansu's Theorem (2022)
C. De Lellis - J. Hirsch - A. Marchese - L. Spolaor - S. Stuvard (Accepted Paper: Acta Mathematica)
Fine structure of the singular set of area minimizing hypersurfaces modulo $p$ (2022)
M. Colombo - A. De Rosa - A. Marchese (Comm. Pure App. Math.)
On the well-posedness of branched transportation (2021)
A. Marchese - A. Massaccesi - S. Stuvard - R. Tione (Calc. Var. Partial Differential Equations)
A multi-material transport problem with arbitrary marginals (2021)
A. Marchese - A. Merlo (Analysis & PDE)
Characterization of rectifiability via Lusin type approximation (2021)
C. De Lellis - J. Hirsch - A. Marchese - S. Stuvard (Geom. Funct. Anal.)
Regularity of area minimizing currents mod $p$ (2020)
M. Carioni - A. Marchese - A. Massaccesi - A. Pluda - R. Tione (Nonlinear Anal.)
The oriented mailing problem and its convex relaxation (2020)
M. Colombo - A. De Rosa - A. Marchese (J. Math. Pures Appl.)
Stability for the mailing problem (2019)
A. Marchese - A. Massaccesi - R. Tione (SIAM J. Math. Anal.)
A multi-material transport problem and its convex relaxation via rectifiable G-currents (2019)
A. Marchese - S. Stuvard (Adv. Calc. Var.)
On the structure of flat chains modulo $p$ (2018)
A. Marchese - B. Wirth (J. Math. Anal. Appl.)
Approximation of rectifiable $1$-currents and weak-$\ast$ relaxation of the $h$-mass (2018)
C. De Lellis - A. Marchese - E. Spadaro - D. Valtorta (Comm. Math. Helv.)
Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps (2018)
M. Colombo - A. De Rosa - A. Marchese (Calc. Var. Partial Differential Equations)
Improved stability of optimal traffic paths (2018)
A. Marchese (Preprint)
On the structure of singular measures in the Euclidean space (2017)
A. Marchese (Accepted Paper: Proc. Roy. Soc. Edinburgh Sect. A)
Residually many BV homeomorphisms map a null set in a set of full measure (2017)
M. Colombo - A. De Rosa - A. Marchese - S. Stuvard (Nonlinear Analysis)
On the lower semicontinuous envelope of functionals defined on polyhedral chains (2017)
D. Inauen - A. Marchese (J. Funct. Anal.)
Quantitative minimality of strictly stable minimal submanifolds in a small flat neighbourhood (2017)
A. Marchese - A. Massaccesi (Advances in Calculus of Variations)
The Steiner tree problem revisited through rectifiable $G$-currents (2016)
G. Alberti - A. Marchese (Geom. Funct. Anal. (GAFA) )
On the differentiability of Lipschitz functions with respect to measures in the Euclidean space (2016)
G. De Philippis - A. Marchese - F. Rindler (Accepted Paper)
On a conjecture of Cheeger (2016)
A. Marchese - A. Schioppa (Calc. Var. Partial Differential Equations)
Lipschitz functions with prescribed blowups at many points (2016)
A. Marchese (Rend. Semin. Mat. Univ. Padova)
Lusin type theorems for Radon measures (2015)
M. Focardi - A. Marchese - E. Spadaro (Journal of Functional Analysis)
Improved estimate of the singular set of Dir-minimizing Q-valued functions via an abstract regularity result (2015)
P. Logaritsch - A. Marchese (Arch. Math)
Kirszbraun's extension theorem fails for Almgren's multiple valued functions (2014)
A. Marchese - A. Massaccesi (ESAIM Control Optim. Calc. Var.: ESAIM: COCV)
An optimal irrigation network with infinitely many branching points (2014)
A. Marchese (Phd Thesis)
Two applications of the Theory of Currents (2013)
A. Marchese (Accepted Paper: Proc. Amer. Math. Soc.)
On the building dimension of closed cones and Almgren’s stratification principle. (2013)
A. Marchese - C. Zanco (Israel J. math.)
On a question by Corson about point-finite coverings (2012)

Seminars:

15 nov 2017: Branched transportation: stability and new models.
16 may 2012: Rademacher's theorem for Euclidean measures

Speaker:

20 jul 2026 - 23 jul 2026: Summer Workshop in the Calculus of Variations
8 jun 2026 - 12 jun 2026: International geometric analysis conference in Milan II
24 mar 2026 - 27 mar 2026: Geometric measure theory and Metric geometry
16 mar 2026 - 17 mar 2026: Optimal Transport in GMT - Geometric Measure Theory in OT
24 jun 2024 - 28 jun 2024: Calculus of Variations in Lille - 4th edition
25 mar 2024 - 28 mar 2024: M&M's - Measures and Materials Workshop
31 jan 2024 - 2 feb 2024: Calculus of Variations in Siena
12 jun 2023 - 16 jun 2023: Harmonic Analysis, Partial Differential Equations, and Geometric Measure Theory in Bilbao 2023
29 may 2023 - 2 jun 2023: Geometric Measure Theory, Bressanone 2023
8 jun 2022 - 10 jun 2022: Geometric Analysis and PDE on Garda Lake
24 aug 2020 - 4 sep 2020: 2020 Focus Period for the FRG: New Challenges in Geometric Measure Theory
11 jun 2018 - 15 jun 2018: Geometric Measure Theory in Verona

Organizer:

29 jun 2026 - 3 jul 2026: Geometric measure theory: unraveling the structure of singularities
1 sep 2025 - 3 sep 2025: Three days between Analysis and Geometry in Trento - 4° Edition
30 jun 2025 - 4 jul 2025: Topics in Geometric Measure Theory
27 jan 2025 - 31 jan 2025: Geometric Measure Theory in Trento
2 sep 2024 - 4 sep 2024: Three days between analysis and geometry in Trento (third edition)
17 jun 2024 - 21 jun 2024: Geometric Measure Theory and applications 2024
28 aug 2023 - 30 aug 2023: Three days between Analysis and Geometry in Trento - 2° edition (New fundings available for Postdocs!!)
29 aug 2022 - 31 aug 2022: Three days between Analysis and Geometry in Trento
30 aug 2021 - 3 sep 2021: Geometric Measure Theory and applications
16 jan 2020 - 17 jan 2020: Geometric Measure Theory in Padova
24 sep 2018 - 28 sep 2018: Workshop MAR: Metric Analysis and Regularity
24 apr 2017 - 26 apr 2017: Transport problems in Zurich