Teoria Geometrica della Misura, Geometria sub-Riemanniana

[1] L. Ambrosio, F. Serra Cassano, D. Vittone
Intrinsic Regular Hypersurfaces in Heisenberg Groups
J. Geom. Anal. 16, no. 2 (2006), 187-232.

[2] V. Barone Adesi, F. Serra Cassano, D. Vittone
The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations
Calc. Var. Partial Differential Equations 30, no. 1 (2007), 17-49.

[3] V. Magnani, D. Vittone
An intrinsic measure for submanifolds in stratified groups
J. Reine Angew. Math. 619 (2008), 203-232.

[4] D. Vittone
Submanifolds in Carnot groups
Tesi di Perfezionamento della Scuola Normale Superiore (2008), Birkhauser, xx+180 pagg.

[5] R. Monti, F. Serra Cassano, D. Vittone
A negative answer to the Bernstein problem for intrinsic graphs in the Heisenberg group
Boll. Unione Mat. Ital. (9) 1 (2008), no. 3, 709-727.

[6] A. Canete, M. Miranda J., D. Vittone
Some isoperimetric problems in the plane with density
J. Geom. Anal. 20 (2010), no. 2, 243-290.

[7] F. Bigolin, D. Vittone
Some remarks about parametrizations of intrinsic regular surfaces in the Heisenberg group
Publ. Mat. 54 (2010), 159-172.

[8] R. Monti, D. Vittone
Sets with finite H-perimeter and controlled normal
Math. Z. 270 (2012), no. 1-2, 351-367.

[9] T. K. Nguyen, D. Vittone
Rectifiability of special singularities of non-Lipschitz functions
J. Convex Anal. 19 (2012), 159-170.

[10] G. P. Leonardi, S. Rigot & D. Vittone
Isodiametric sets in the Heisenberg group,
Rev. Mat. Iberoam. 28 (2012), 999-1024.

[11] D. Vittone
Lipschitz surfaces, perimeter, and trace theorems for BV functions in Carnot-Caratheodory spaces
Ann. Sc. Norm. Super. Pisa Cl. Sci. 11 (2012), 1-60.

[12] F. Dragoni, J. J. Manfredi, D. Vittone
Weak Fubini Property and infinity Harmonic Functions in Riemannian and Sub-Riemannian Manifolds
Trans. Amer. Math. Soc. 365 (2013), 837-859.

[13] E. Le Donne, G. P. Leonardi, R. Monti, D. Vittone
Extremal curves in nilpotent Lie groups
Geom. Funct. Anal.(2013, online), 31 pagg.

[14] A. Marigonda, T. K. Nguyen, D. Vittone
Some regularity results for a class of upper semicontinuous functions
accettato su Indiana Univ. Math. J., 39 pagg.

[15] F. Serra Cassano, D. Vittone
Graphs of bounded variation, existence and local boundedness of non-parametric minimal surfaces in Heisenberg groups
Adv. Calc. Var. (2013, online), 84 pagg.

[16] V. Magnani, J. T. Tyson, D. Vittone
On transversal submanifolds and their measure
preprint, 28 pagg.

[17] A. Pinamonti, F. Serra Cassano, G. Treu, D. Vittone
BV Minimizers of the area functional in the Heisenberg group under the bounded slope condition, preprint, 25 pagg.

[18] A. Marigonda, T. K. Nguyen & D. Vittone
BV regularity and differentiability properties of a class of upper semicontinuous functions
in corso di stampa su Proceedings of the Ninth International Conference on "Large Scale Scientic Computations", 8 pagg.