G. Alberti, G. Bouchitté, P. Seppecher:
Phase Transition with Line Tension Effect
Arch. Rational Mech. Anal. Vol. 144 (1998), N. 1, p. 1-46, 1996

G. Alberti, L. Ambrosio:
A Geometrical Approach to Monotone Functions in ${\mathbb R}^n$
Math. Zeit. Vol. 230 (1999), p. 259-316, 1996

G. Alberti, C. Mantegazza:
A Note on the Theory of SBV Functions
Bollettino Un. Mat. Ital. (7) Vol. 11-B, N. 2, p. 375-382, 1997

G. Alberti:
Variational Models for Phase Transitions, an Approach via Gamma-Convergence
(lecture notes) 1998

G. Alberti, G. Bouchitté, G. Dal Maso:
The Calibration Method for the Mumford-Shah Functional
C. R. Acad. Sci. Paris Sér. I Math. Vol. 329 (1999), N. 3, p. 249-254, 1999

G. Alberti:
Some Remarks about a Notion of Rearrangement
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)  Vol. XXIX (2000), p. 457-472, 1999

G. Alberti, S. Müller:
A New Approach to Variational Problems with Multiple Scales
Comm. Pure Appl. Math. Vol. 54 (2001), N. 7, p. 761-825., 1999

G. Alberti, L. Ambrosio, X. Cabré:
On a long standing conjecture of E. De Giorgi: old and recent results
Acta Appl. Math. Vol. 65 (2001), N. 1, p. 9-33, 2000

G. Alberti, M. Csörnyei, M. Laczkovich, D. Preiss:
Denjoy-Young-Saks theorem for approximate derivatives revisited
Real Anal. Exchange Vol. 26 (2000/01), N. 1, p. 485-488, 2000

G. Alberti:
Un risultato di convergenza variazionale per funzionali di tipo Ginzburg-Landau in dimensione qualunque
Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) Vol. 4-B, N. 2, p. 289-310, 2001

G. Alberti, S. Baldo, G. Orlandi:
Functions with prescribed singularities
J. Eur. Math. Soc. Vol. 5, N. 3, p. 275-311, 2003

G. Alberti, G. Bouchitté, G. Dal Maso:
The calibration method for the Mumford-Shah functional and free-discontinuity problems
Calc. Var. Partial Differential Equations Vol. 16, N. 3, p. 299-333, 2003

G. Alberti:
Geometric Measure Theory
2005

G. Alberti, M. Csörnyei, A. Pelczynski, D. Preiss:
BV has the bounded approximation property
J. Geom. Anal. Vol. 15, N. 1, p. 1-7, 2005

G. Alberti, M. Csörnyei, D. Preiss:
Structure of null sets in the plane and applications
2005

G. Alberti:
Distributional Jacobian and singularities of Sobolev maps
Ricerche Mat. Vol. 54, N. 2, p. 375-394, 2005

G. Alberti, A. DeSimone:
Wetting of rough surfaces: a homogenization approach
Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. Vol. 461, p. 79-97, 2005

G. Alberti, S. Baldo, G. Orlandi:
Variational convergence for functionals of Ginzburg-Landau type
Indiana Univ. Math. J. Vol. 54, N. 5, p. 1411-1472, 2005

G. Alberti, R. Choksi, F. Otto:
Uniform energy distribution for an isoperimetric problem with long-range interactions
J. Amer. Math. Soc. Vol. 22, N. 2, p. 569-605, 2009

G. Alberti, A. DeSimone:
Quasistatic evolution of sessile drops and contact angle hysteresis
Arch. Rational Mech. Anal. Vol. 202, N. 1, p. 295-348, 2011

G. Alberti, S. Bianchini, G. Crippa:
On the L^p differentiability of certain classes of functions
Revista Matemática Iberoamericana (Accepted Paper) 2012

G. Alberti, S. Bianchini, G. Crippa:
Structure of level sets and Sard-type properties of Lipschitz maps
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) Vol. 12, N. 4, p. 863-902, 2013

G. Alberti, S. Bianchini, G. Crippa:
A uniqueness result for the continuity equation in two dimensions
Journal of the European Mathematical Society (JEMS) Vol. 16, N. 2, p. 201-234, 2014

G. Alberti, G. Crippa, A. L. Mazzucato:
Exponential self-similar mixing and loss of regularity for continuity equations
Comptes Rendus Mathématique Vol. 352, N. 11, p. 901-906, 2014

G. Alberti, S. Bianchini, L. Caravenna:
Eulerian, Lagrangian and Broad continuous solutions to a balance law with non convex flux I
Journal of Differential Equations Vol. 261, N. 8, p. 42984337, 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

G. Alberti, M. Ottolini:
On the structure of continua with finite length and Golab's
  semicontinuity theorem
Nonlinear Analysis Vol. 153, p. 35-55, 2017

G. Alberti, A. Massaccesi:
On some geometric properties of currents and Frobenius theorem
Rend. Lincei Mat. Appl. Vol. 28 (2017), N. 4, p. 861-869, 2017

G. Alberti, G. Crippa, A. L. Mazzucato:
Loss of regularity for the continuity equation with non-Lipschitz velocity field
(Submitted Paper) 2018

G. Alberti, G. Crippa, A. L. Mazzucato:
Exponential self-similar mixing  by incompressible flows
Journal of the American Mathematical Society (Accepted Paper) 2018

G. Alberti, G. Buttazzo, S. Guarino Lo Bianco, E. Oudet:
Optimal reinforcing networks for elastic membranes
Networks and Heterogeneous Media (Accepted Paper) 2019

G. Alberti, E. Stepanov, D. Trevisan:
Integration of nonsmooth $\boldsymbol{2}$-forms: from Young to   Itô and Stratonovich
J. Funct. Anal. (Accepted Paper) 2019

G. Alberti, A. Massaccesi, E. Stepanov:
On the geometric structure of currents tangent to smooth distributions
J. Diff. Geom. Vol. 122, N. 1, p. 1-33, 2022

G. Alberti, A. Marchese:
On the structure of flat chains with finite mass
(Preprint) 2022

G. Alberti, D. Bate, A. Marchese:
On the closability of differential operators
(Preprint) 2023