A. Marchese:
Two applications of the Theory of Currents
(Phd Thesis) 2013
A. Marchese:
On the building dimension of closed cones and Almgrens stratification principle.
Proc. Amer. Math. Soc. (Accepted Paper) 2013
P. Logaritsch, A. Marchese:
Kirszbraun's extension theorem fails for Almgren's multiple valued functions
Arch. Math Vol. 102, N. 5, p. 455-458, 2014
M. Focardi, A. Marchese, E. Spadaro:
Improved estimate of the singular set of Dir-minimizing Q-valued functions via an abstract regularity result
Journal of Functional Analysis (Accepted Paper) 2014
A. Marchese, A. Massaccesi:
An optimal irrigation network with infinitely many branching points
ESAIM: COCV (ESAIM Control Optim. Calc. Var.) 2014
A. Marchese:
Lusin type theorems for Radon measures
(Rend. Semin. Mat. Univ. Padova) 2015
A. Marchese, A. Massaccesi:
The Steiner tree problem revisited through rectifiable $G$-currents
Advances in Calculus of Variations Vol. 9, N. 1, p. 19-39, 2016
G. De Philippis, A. Marchese, F. Rindler:
On a conjecture of Cheeger
(Accepted Paper) 2016
C. De Lellis, A. Marchese, E. Spadaro, D. Valtorta:
Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps
(Preprint) p. 32, 2016
A. Marchese, A. Schioppa:
Lipschitz functions with prescribed blowups at many points
(Preprint) 2016
G. Alberti, A. Marchese:
On the differentiability of Lipschitz functions with respect to measures in the Euclidean space
Geom. Funct. Anal. (GAFA) Vol. 26, N. 1, p. 1-66, 2016
A. Marchese, S. Stuvard:
On the structure of flat chains modulo $p$
Advances in Calculus of Variations 2016
M. Colombo, A. De Rosa, A. Marchese:
Improved stability of optimal traffic paths
(Preprint) 2017
A. Marchese:
On the structure of singular measures in the Euclidean space
(Preprint) 2017
A. Marchese:
Residually many BV homeomorphisms map a null set in a set of full measure
(Preprint) 2017
D. Inauen, A. Marchese:
Quantitative minimality of strictly stable minimal submanifolds in a small flat neighbourhood
(Preprint) 2017
M. Colombo, A. De Rosa, A. Marchese, S. Stuvard:
On the lower semicontinuous envelope of functionals defined on polyhedral chains
Nonlinear Analysis Vol. 163C, p. 201-215, 2017