Giovanni Bellettini
[belletti]
Full Professor, Dipartimento di Ingegneria dell'Informazione e Scienze Matematiche, Univ. Siena, and International Centre of Theoretical Physics ICTP, Mathematics Section
Email: giovanni.bellettini AT unisi.it
Available papers (93):
[plain text]- G. Bellettini - S. Kholmatov - F. Almuratov (Preprint)
Crystalline hexagonal curvature flow of networks: short-time, long-time and self-similar evolutions (2024) - G. Bellettini - S. Kholmatov (Preprint)
Minimizing movements for the generalized power mean curvature flow (2024) - G. Bellettini - A. Elshorbagy - R. Scala (Preprint)
The $L^1$-relaxed area of the graph of the vortex map: optimal upper bound (2024) - G. Bellettini - A. Elshorbagy - R. Scala (Preprint)
Relaxation of the area of the vortex map: a non-parametric Plateau problem for a catenoid containing a segment (2024) - G. Bellettini - A. Elshorbagy - R. Scala (Preprint)
The $L^1$-relaxed area of the graph of the vortex map: optimal lower bound (2024) - G. Bellettini - R. Marziani - R. Scala (Journal de l’École polytechnique — Mathématiques)
A non-parametric Plateau problem with partial free boundary (2024) - G. Bellettini - M. Freguglia - N. Picenni (Arch. Rational Mech. Anal.)
On a conjecture of De Giorgi about the phase-field approximation of the Willmore functional (2023) - G. Bellettini - S. Kholmatov (Preprint)
Some aspects of anisotropic curvature flow of planar partitions (2023) - G. Bellettini - R. Scala - G. Scianna (Preprint)
Upper bounds for the relaxed area of $S^1$-valued Sobolev maps and its countably subadditive interior envelope (2023) - G. Bellettini - S. Carano - R. Scala (Accepted Paper: Nonlinear Analysis)
Relaxed area of graphs of piecewise Lipschitz maps in the strict $BV$-convergence (2023) - G. Bellettini - A. Betti - M. Paolini (Submitted Paper)
A free boundary singular transport equation as a formal limit of a discrete dynamical system (2022) - G. Bellettini - S. Carano - R. Scala (ESAIM: Control, Optimization and Calculus of Variations)
The relaxed area of $S^1$-valued singular maps in the strict $BV$-convergence (2022) - G. Bellettini - A. Elshorbagy - R. Scala (Preprint)
The $L^1$-relaxed area of the graph of the vortex map (2021) - G. Bellettini - A. Chambolle - S. Kholmatov (Submitted Paper)
Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities (2020) - G. Bellettini - A. Elshorbagy (Submitted Paper)
On the square distance function from a manifold with boundary (2019) - G. Bellettini - A. Elshorbagy - M. Paolini - R. Scala (Preprint)
On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions (2019) - G. Bellettini - S. Kholmatov (Submitted Paper)
Minimizing movements for mean curvature flow of partitions (2017) - G. Bellettini - M. Paolini - F. Pasquarelli (Submitted Paper)
Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone (2017) - G. Bellettini - M. Paolini - F. Pasquarelli - G. Scianna (Submitted Paper)
Covers, soap films and BV functions (2017) - G. Bellettini - S. Kholmatov - M. Novaga (Comm. Pure Appl. Analysis)
Minimizers of anisotropic perimeters with cylindrical norms (2017) - G. Bellettini - S. Kholmatov (Preprint)
Minimizing movements for mean curvature flow of droplets with prescribed contact angle (2016) - S. Amato - G. Bellettini - M. Paolini (Submitted Paper)
Constrained $BV$ functions on covering spaces for minimal networks and Plateau's type problems (2015) - G. Bellettini - A. Nayam - M. Novaga (Asymptotic Analysis)
$\Gamma$-type estimates for the one-dimensional Allen-Cahn's action (2015) - S. Amato - G. Bellettini - L. Tealdi (Submitted Paper)
Anisotropic mean curvature on facets and relations with capillarity (2015) - L. Tealdi - G. Bellettini - M. Paolini (Submitted Paper)
Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity (2015) - G. Bellettini - M. Novaga - G. Orlandi (Discrete Cont. Dynam. System A)
Eventual regularity for the parabolic minimal surface equation (2015) - G. Bellettini - V. Beorchia - M. Paolini - F. Pasquarelli (Book: Computational Imaging and Vision, Springer-Verlag, to appear)
Shape Reconstruction from Apparent Contours. Theory and Algorithms (2014) - G. Bellettini - M. Paolini - L. Tealdi (Accepted Paper)
On the area of the graph of a piecewise smooth map from the plane to the plane with a curve discontinuity (2014) - S. Amato - G. Bellettini - M. Paolini (Submitted Paper)
The nonlinear multidomain model: a new formal asymptotic analysis (2013) - G. Bellettini - A. Chambolle - M. Goldman (Accepted Paper: M3AS)
The Gamma-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension (2013) - G. Bellettini (Book: Edizioni della Scuola Normale)
Lecture Notes on Mean Curvature Flow, Barriers and Singular Perturbations (2013) - G. Bellettini - C. Geldhauser - M. Novaga (Advances Differential Equations)
Convergence of a semidiscrete scheme for a forward-backward parabolic equation (2013) - G. Bellettini - M. Paolini - F. Pasquarelli (Submitted Paper)
Nonconvex mean curvature flow as a formal singular limit of the nonlinear bidomain model (2012) - G. Bellettini - L. Bertini - M. Mariani - M. Novaga (SIAM J. on Math. Anal.)
Convergence of the one-dimensional Cahn-Hilliard Equation (2012) - G. Bellettini - M. Novaga - G. Orlandi (Indiana Univ. Math. J.)
Lorentzian varifolds and applications to closed relativistic strings (2012) - G. Bellettini - M. Novaga (J. Reine Angew. Math.)
Curvature Evolution of Nonconvex Lens-Shaped Domains (2011) - G. Bellettini - M. Novaga - M. Paolini (Math. Mod. Meth. Appl. Sc.)
Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension (2011) - G. Bellettini - J. Hoppe - M. Novaga - G. Orlandi (Complex Analysis and Operator Theory)
Closure and convexity properties of closed relativistic strings (2010) - G. Bellettini - M. Novaga - G. Orlandi (Physica D)
Time-like lorentzian minimal submanifolds as singular limits of nonlinear wave equations (2010) - G. Bellettini - L. Bertini - M. Mariani - M. Novaga (Arch. Rat. Mech. Anal.)
$\Gamma$-entropy cost for scalar conservation laws (2010) - G. Bellettini - V. Beorchia - M. Paolini (Submitted Paper)
Completeness of Reidemeister-type moves for surfaces embedded in three-dimensional space (2009) - G. Bellettini - M. Paolini (Submitted Paper)
On the area of the graph of a singular map from the plane to the plane taking three values (2009) - G. Bellettini - F. Caselli - M. Mariani (Accepted Paper: J. Functional Anal.)
Quasi-potentials of the entropy functionals for scalar conservation laws (2009) - G. Bellettini - L. Mugnai (Submitted Paper)
Approximation of the Helfrich's functional via Diffuse Interfaces (2009) - G. Bellettini - M. Novaga - M. Paolini - C. Tornese (Calcolo)
Classification of the equilibria for the semi-discrete Perona-Malik equation (2009) - G. Bellettini - V. Caselles - A. Chambolle - M. Novaga (J. Math. Pures Appl.)
The volume preserving crystalline mean curvature flow of convex sets in $\mathbf R^N$ (2009) - G. Bellettini - F. Caselli - M. Mariani (Submitted Paper)
Some applications of the least squares method to differential equations and related problems (2008) - G. Bellettini - V. Beorchia - M. Paolini (Submitted Paper)
Completion of visible contours (2008) - G. Bellettini - M. Novaga - M. Paolini - C. Tornese (J. Differential Eqs.)
Convergence of discrete schemes for the Perona-Malik equation (2008) - G. Bellettini - V. Beorchia - M. Paolini (Submitted Paper)
An explicit formula for a Bennequin-type invariant for apparent contours (2007) - G. Bellettini - C. Mantegazza - M. Novaga (J. Diff. Geom.)
Singular Perturbations of Mean Curvature Flow (2007) - G. Bellettini - M. Chermisi - M. Novaga (Comm. Partial Differential Equations)
The level set method for systems of PDEs (2007) - G. Bellettini - L. Mugnai (Accepted Paper: J. Convex Anal.)
A varifolds representation of the relaxed elastica functional (2007) - G. Bellettini - M. Masala - M. Novaga (J. Convex Anal.)
A conjecture of De Giorgi on the squared distance function (2007) - G. Bellettini - A. De Masi - N. Dirr - E. Presutti (Accepted Paper: Comm. Math. Phys.)
Tunnelling in two dimensions (2006) - G. Bellettini - V. Beorchia - M. Paolini (Submitted Paper)
Topological and variational properties of a model for the reconstruction of three-dimensional transparent images with self-occlusions (2006) - G. Bellettini - M. Chermisi - M. Novaga (Interfaces Free Bound.)
Crystalline curvature flow of planar networks (2006) - G. Bellettini - G. Fusco - N. Guglielmi (Accepted Paper: Discrete Cont. Dyn. Syst.)
A concept of solution for forward-backward equations of the form $u_t = \frac{1}{2}(p'(u_x))_x$ and numerical experiments for the singular perturbation $u_t = - \eps^2 u_{xxxx} + \frac{1}{2} (\phi'(u_x))_x$ (2006) - G. Bellettini - L. Mugnai (Preprint)
Remarks on the variational nature of the heat equation and of mean curvature flow (2006) - G. Bellettini - M. S. Gelli - S. Luckhaus - M. Novaga (Calc. Var. Partial Differential Equations)
Deterministic equivalent for the Allen-Cahn energy of a scaling law in the Ising model (2006) - G. Bellettini - V. Caselles - A. Chambolle - M. Novaga (Arch. Rational Mech. Anal.)
Crystalline mean curvature flow of convex sets (2006) - G. Bellettini - V. Caselles - M. Novaga (SIAM J. Math. Anal.)
Explicit solutions of the eigenvalue problem $- {\rm div} \left( Du/ \vert Du \vert \right) = u$ (2005) - G. Bellettini - L. Mugnai (Calc. Var. Partial Differential Equations)
On the approximation of the elastica functional in radial symmetry (2005) - G. Bellettini - M. Novaga - E. Paolini (SIAM J. on Math. Anal.)
Global solutions to the gradient flow equation of a nonconvex functional (2005) - G. Bellettini - A. De Masi - E. Presutti (J. Nonlin. Math. Phys.)
Tunnelling in nonlocal evolution equations (2005) - G. Bellettini - B. Dacorogna - G. Fusco - F. Leonetti (Accepted Paper: Adv. Math. Sci. Appl.)
Qualitative properties of Lipschitz solutions of eikonal type systems (2005) - G. Bellettini - A. De Masi - E. Presutti (Accepted Paper: J. Math. Phys.)
Energy levels of critical points of a nonlocal functional (2004) - G. Bellettini - G. Fusco (Submitted Paper)
The Gamma limit and the related gradient flow for singular perturbation funtionals of Perona-Malik type (2004) - G. Bellettini - L. Mugnai (Ann. Inst. H. Poincare`, Anal. Non Lin.)
Characterization and representation of the lower semicontinuous envelope of the elastica functional (2004) - G. Bellettini - R. March (Math. Mod. Meth. Appl. Sci.)
An image segmentation variational model with free discontinuities and contour curvature (2004) - G. Bellettini - G. Fusco - G. F. Gronchi (Comm. Pure Appl. Anal.)
Regularization of the two-body problem via smoothing the potential (2003) - G. Bellettini - G. Fusco (Asymp. Anal.)
Stable dynamics of spikes in solutions to a system of reaction-diffusion equations, II (2003) - G. Bellettini - M. Novaga - G. Riey (Interfaces Free Bound. )
First variation of anisotropic energies and crystalline mean curvature for partitions (2003) - G. Bellettini - G. Fusco (EQUADIFF 2003 Proceedings of the International Conference on Differential Equations Hasselt, Belgium 22 - 26 July 2003 Freddy Dumortier, Henk Broer, Jean Mawhin, Andre Vanderbauwhede and Sjoerd Verduyn Lunel eds.,)
A regularized Perona-Malik functional: some aspects of the gradient dynamics (2003) - G. Bellettini - G. F. Gronchi (Rend. Atti Acc. Naz. Sci. XL Mem. Mat.)
Barriers for systems of ordinary differential equations: an application to the two-body problem (2002) - G. Bellettini - V. Caselles - M. Novaga (J. Differential Equations)
The Total Variation Flow in $R^N$ (2002) - G. Bellettini - G. Fusco (Asymp. Anal.)
Stable dynamics of spikes in solutions to a system of reaction-diffusion equations (2001) - G. Bellettini - M. Novaga - M. Paolini (Arch. Rational Mech. Anal.)
On a crystalline variational problem, part II: $BV$-regularity and structure of minimizers on facets (2001) - G. Bellettini (Proc. of the 3th. European Conference on Math., Barcellona 2000)
Some aspects of motion by mean curvature in presence of nonsmooth anisotropies (2001) - G. Bellettini - M. Novaga - M. Paolini (Arch. Rational Mech. Anal.)
On a crystalline variational problem, part I: first variation and global $L^\infty$ regularity (2001) - G. Bellettini - M. Novaga - M. Paolini (Interfaces and Free Boundaries)
Characterization of facet--breaking for nonsmooth mean curvature flow in the convex case (2001) - G. Bellettini - P. Buttà - E. Presutti (Arch. Rational Mech. Anal.)
Sharp interface limits of non local anisotropic interactions (2001) - G. Bellettini - G. Bouchitté - I. Fragalà (J. Convex Anal.)
BV Functions with Respect to a Measure and Relaxation of Metric Integral Functionals (2000) - G. Bellettini - I. Fragalà (Asymptotic Anal.)
Elliptic Approximations to Prescribed Mean Curvature Surfaces in Finsler Geometry (2000) - G. Bellettini - M. Novaga (Math. Mod. Meth. Appl. Sc.)
Approximation and comparison for non-smooth anisotropic motion by mean curvature in $\mathbb R^N$ (2000) - G. Bellettini - M. Novaga - M. Paolini (Interfaces and Free Boundaries)
Facet--breaking for three--dimensional crystals evolving by mean curvature (1999) - G. Bellettini - M. Novaga (J. Differential Geom. and its Appl.)
A result on motion by mean curvature in arbitrary codimension (1999) - G. Bellettini - M. Novaga - M. Paolini (Comm. Partial Differential Equations)
An example of three dimensional fattening for linked space curves evolving by curvature (1998) - G. Bellettini - M. Novaga (Ann. Sc. Norm. Sup. Pisa Cl. Sci.)
Comparison Results between Minimal Barriers and Viscosity Solutions for Geometric Evolutions (1998) - G. Bellettini - M. Novaga (J. Differential Eqs.)
Minimal Barriers for Geometric Evolutions (1997) - G. Bellettini - M. Novaga (Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei, serie IX)
Barriers for a Class of Geometric Evolutions Problems (1997) - G. Bellettini
Alcuni Risultati sulle Minime Barriere per Movimenti Geometrici di Insiemi (1996) - G. Bellettini - G. Fusco
Some Aspects of the Dynamic of $V=H-\bar H$ (1996)
Seminars:
- 18 nov 2021: On a conjecture of De Giorgi on the first variation of the Modica-Mortola functional
- 22 nov 2019: Contorni apparenti e ricostruzione di forme tridimensionali
- 16 mar 2006: Remarks on the variational nature of heat equation and motion by mean curvature
Speaker:
- 29 may 2023 - 2 jun 2023: Geometric Measure Theory, Bressanone 2023
- 23 mar 2020 - 27 mar 2020: Geometric Variational Problems
- 22 nov 2019 - 22 nov 2019: Incontri di Analisi Matematica tra Firenze, Pisa e Siena
- 17 jan 2019 - 19 jan 2019: Workshop "Variational problems, PDEs and applications"
- 26 jun 2017 - 30 jun 2017: Curves and Networks in Geometric Analysis
- 11 jul 2016 - 15 jul 2016: THE TOTAL VARIATION FLOW AND RELATED NONLINEAR EVOLUTION PROBLEMS
- 26 jan 2004 - 28 jan 2004: SCHOOL ON GEOMETRIC EVOLUTION PROBLEMS
Organizer:
- 31 jan 2024 - 2 feb 2024: Calculus of Variations in Siena
- 6 dec 2023 - 6 dec 2023: Incontri di Analisi Matematica tra Firenze, Pisa e Siena
- 21 feb 2022 - 25 feb 2022: Free Boundary Problems and Related Evolution Equations
- 4 jun 2021 - 4 jun 2021: Incontri di Analisi Matematica tra Firenze, Pisa e Siena
- 30 oct 2020 - 30 oct 2020: Incontri di Analisi Matematica tra Firenze, Pisa e Siena
- 22 nov 2019 - 22 nov 2019: Incontri di Analisi Matematica tra Firenze, Pisa e Siena
- 4 jun 2018 - 15 jun 2018: International School on Extrinsic Curvature Flows