G. Bellettini, M. Novaga, M. Paolini:
An example of three dimensional fattening for linked space curves evolving by curvature
Comm. Partial Differential Equations Vol. 23, p. 1475-1492, 1998
G. Bellettini, M. Novaga, M. Paolini:
Facet--breaking for three--dimensional crystals evolving by mean curvature
Interfaces and Free Boundaries Vol. 1, p. 39-55, 1999
G. Bellettini, M. Novaga, M. Paolini:
On a crystalline variational problem, part II: $BV$-regularity and structure of minimizers on facets
Arch. Rational Mech. Anal. Vol. 157, N. 3, p. 193-217, 2001
G. Bellettini, M. Novaga, M. Paolini:
On a crystalline variational problem, part I: first variation and global $L^\infty$ regularity
Arch. Rational Mech. Anal. Vol. 157, N. 3, p. 165-191, 2001
M. Negri, M. Paolini:
Numerical minimization of the Mumford-Shah functional
Calcolo Vol. 38, p. 67-84, 2001
G. Bellettini, M. Novaga, M. Paolini:
Characterization of facet--breaking for nonsmooth mean curvature flow in the convex case
Interfaces and Free Boundaries Vol. 3, p. 415-446, 2001
G. Bellettini, V. Beorchia, M. Paolini:
Topological and variational properties of a model for the reconstruction of three-dimensional transparent images with self-occlusions
(Submitted Paper) 2006
G. Bellettini, V. Beorchia, M. Paolini:
An explicit formula for a Bennequin-type invariant for apparent contours
(Submitted Paper) 2007
M. Novaga, M. Paolini:
Nonuniqueness for crystalline curvature flow
Math. Mod. Meth. Appl. Sc. Vol. 17, N. 8, p. 1307-1315, 2007
G. Bellettini, V. Beorchia, M. Paolini:
Completion of visible contours
(Submitted Paper) 2008
G. Bellettini, M. Novaga, M. Paolini, C. Tornese:
Convergence of discrete schemes for the Perona-Malik equation
J. Differential Eqs. Vol. 245, p. 892-924, 2008
G. Bellettini, V. Beorchia, M. Paolini:
Completeness of Reidemeister-type moves for surfaces embedded in three-dimensional space
(Submitted Paper) 2009
G. Bellettini, M. Paolini:
On the area of the graph of a singular map from the plane to the plane taking three values
(Submitted Paper) 2009
G. Bellettini, M. Novaga, M. Paolini, C. Tornese:
Classification of the equilibria for the semi-discrete Perona-Malik equation
Calcolo Vol. 46, N. 4, p. 221-243, 2009
G. Bellettini, M. Novaga, M. Paolini:
Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension
Math. Mod. Meth. Appl. Sc. Vol. 21, N. 2, p. 1-25, 2011
G. Bellettini, M. Paolini, F. Pasquarelli:
Nonconvex mean curvature flow as a formal singular limit of the nonlinear bidomain model
(Submitted Paper) 2012
S. Amato, G. Bellettini, M. Paolini:
The nonlinear multidomain model: a new formal asymptotic analysis
(Submitted Paper) 2013
G. Bellettini, V. Beorchia, M. Paolini, F. Pasquarelli:
Shape Reconstruction from Apparent Contours. Theory and Algorithms
Computational Imaging and Vision, Springer-Verlag, to appear (Book) p. iii-333, 2014
G. Bellettini, M. Paolini, L. Tealdi:
On the area of the graph of a piecewise smooth map from the plane to the plane with a curve discontinuity
(Accepted Paper) 2014
S. Amato, G. Bellettini, M. Paolini:
Constrained $BV$ functions on covering spaces for minimal networks and Plateau's type problems
(Submitted Paper) 2015
G. Bellettini, M. Paolini, L. Tealdi:
Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity
(Submitted Paper) 2015
G. Bellettini, M. Paolini, F. Pasquarelli:
Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone
(Submitted Paper) 2017
G. Bellettini, M. Paolini, F. Pasquarelli, G. Scianna:
Covers, soap films and BV functions
(Submitted Paper) 2017
G. Bellettini, A. Elshorbagy, M. Paolini, R. Scala:
On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions
(Preprint) 2019
G. Bellettini, A. Betti, M. Paolini:
A free boundary singular transport equation as a formal limit of a discrete dynamical system
(Submitted Paper) 2022