A. Garroni:
A Wiener estimate for relaxed Dirichlet problems in dimension $N\geq 2$
Differential and Integral Equations Vol. 4, N. 3, p. 373-407, 1993

L. Ambrosio, A. Braides, A. Garroni:
Special functions with bounded variation and with weakly differentiable traces on the jump set
(partially unpublished manuscript) 1995

A. Braides, G. Dal Maso, A. Garroni:
Variational formulation of softening phenomena in Fracture Mechanics: the one-dimensional case
Arch. Rational Mech. Anal. Vol. 146, p. 23-58, 1999

J. Casado-Diaz, A. Garroni:
Asymptotic behaviour of nonlinear elliptic systems on varying domains
SIAM J. Math. Anal. Vol. 31, p. 581-624, 2000

A. Garroni, V. Nesi, M. Ponsiglione:
Dielectric breakdown: optimal bounds
Proc. R. Soc. Lond. A Vol. 457, p. 2317-2335, 2001

M. Flucher, A. Garroni, S. Mueller:
Concentration of low energy extremals: Identification of concentration points
Calc. Var. Vol. 14, N. 4, p. 483-516, 2001

A. Garroni, B. Niethammer:
Correctors and error estimates in the homogenization of a Mullins-Sekerka problem
Ann. Inst. H. Poincare` Anal. Nonlineaire Vol. 19, N. 4, p. 371-393, 2002

A. Garroni, S. Mueller:
Concentration phenomena for the volume functional in unbounded domains: Identification of concentration points
J. Funct. Anal. Vol. 199, p. 386-410, 2003

A. Garroni, R. V. Kohn:
Some three-dimensional problems related to dielectric breakdown
Proc. R. Soc. Lond. A Vol. 459, p. 2613-2625, 2003

M. Amar, A. Garroni:
$\Gamma$-convergence of concentration problems with critical growth
Ann. Scuola Norm. Sup. Pisa Cl. Sci. Vol. 2 (Serie V), N. 1, p. 151-179, 2003

A. Briani, A. Garroni, F. Prinari:
Homogenization of L-infinity functionals
Math. Models Methods Appl. Sci. Vol. 14, N. 12, p. 1761- 1784, 2004

A. Garroni, V. Nesi:
Rigidity and lack of rigidity for solenoidal matrix fields
Proc R Soc London A Vol. 460, N. 2046, p. 1789-1806, 2004

A. Garroni, S. Mueller:
$\Gamma$-limit of a phase-field model of dislocations
SIAM Math. Anal. Vol. 36, N. 6, p. 1943-1964, 2005

A. Garroni, M. Ponsiglione, F. Prinari:
From $1$-homogeneous supremal functionals to difference quotients: relaxation and Gamma-convergence
Calc. Var. Vol. 27, p. 397-420, 2006

G. A. Francfort, A. Garroni:
A variational view of partial brittle damage evolution
Arch. Rat. Mech. Vol. 182, p. 125-152, 2006

A. Garroni, G. Palatucci:
A singular perturbation result with a fractional norm
Progress in NonLinear Differential Equations and their Applications Vol. 68, p. 111-126, 2006

A. Garroni, S. Mueller:
A variational model for dislocations in the line tension limit
Arch. Rat. Mech. Vol. 181, p. 535-578, 2006

A. Garroni, C. J. Larsen:
Threshold-based Quasi-static Brittle Damage Evolution
(Submitted Paper) 2007

M. Focardi, A. Garroni:
A $1$D phase field model for dislocations and a second order $\Gamma$limit
SIAM Multiscale Model. Simul. Vol. 6, N. 4, p. 1098-1124, 2007

N. Ansini, A. Garroni:
$\Gamma$ -convergence of functionals on divergence-free fields
ESAIM: Control, Optimisation and Calculus of Variations Vol. 13, N. 4, p. 809-828, 2007

S. Cacace, A. Garroni:
A multi-phase transition model for dislocations with interfacial microstructure
(Submitted Paper) 2008

G. Dal Maso, A. Garroni:
Gradient bounds for minimizers of free discontinuity problems related to
  cohesive zone models in fracture mechanics
Calc. Var. Partial Differential Equations Vol. 31, p. 137-145, 2008

L. Bertini, P. Buttà, A. Garroni:
Boundary effects in the gradient theory of phase transition
(Preprint) 2010

S. Conti, A. Garroni, S. Müller:
Singular kernels, multiscale decomposition of microstructure, and
  dislocation models
(Submitted Paper) 2010

A. Garroni, G. Leoni, M. Ponsiglione:
Gradient theory for plasticity via homogenization of discrete
  dislocations
J. Eur. Math. Soc. Vol. 12, N. 5, p. 1231-1266, 2010

L. De Luca, A. Garroni, M. Ponsiglione:
$\Gamma$-convergence analysis of systems of edge dislocations: the self energy regime
(ARMA) 2012

R. Alicandro, L. De Luca, A. Garroni, M. Ponsiglione:
Metastability and dynamics  of discrete topological singularities in two dimensions: a $\Gamma$-convergence approach
Archive Rational Mech. Anal. Vol. 214, p. 269-330, 2014

S. Conti, A. Garroni, M. Ortiz:
The line-tension approximation as the dilute limit of linear-elastic dislocations
(Submitted Paper) 2015

A. Garroni, M. A. Peletier, L. Scardia, P. van Meurs:
Boundary-layer analysis of a pile-up of walls of edge dislocations at a  lock
M3AS 2015

S. Conti, A. Garroni, A. Massaccesi:
Modeling of dislocations and relaxation of functionals on 1-currents
  with discrete multiplicity
Calc. Var. Partial Differential Equations Vol. 54, N. 2, p. 1847-1874, 2015

S. Conti, A. Garroni, S. Müller:
Dislocation microstructures and strain-gradient plasticity with one
  active slip plane
(Preprint) 2015

R. Alicandro, L. De Luca, A. Garroni, M. Ponsiglione:
Dynamics of discrete screw dislocations on glide directions
J. Mech. Phys. Solids Vol. 92, p. 87-104, 2016

A. Braides, A. Garroni, M. Palombaro:
Interfacial energies of systems of chiral molecules
Multiscale Model. Simul. Vol. 14, p. 1037-1062, 2016

A. Braides, B. Cassano, A. Garroni, D. Sarrocco:
Quasi-static damage evolution and homogenization: a case study of non-commutability
Annales de l'Institut Henri Poincaré Vol. 303, p. 309-328, 2016

R. Alicandro, L. De Luca, A. Garroni, M. Ponsiglione:
Minimising movements for the motion of discrete screw dislocations along glide directions
Calc. Var. Partial Differential Equations Vol. 56:148, 2017

A. Braides, S. Conti, A. Garroni:
Density of polyhedral partitions
Calc. Var. Partial Diff. Equations Vol. 56, N. 2, p. 10, 2017

A. Garroni, M. A. Peletier, L. Scardia, P. van Meurs:
Convergence and non-convergence of many-particle evolutions with  multiple signs
Arch. Rational Mech. Anal. Vol. 235, N. 1, p. 3-49, 2020

S. Conti, A. Garroni:
Sharp rigidity estimates for incompatible fields as consequence of the  Bourgain Brezis div-curl result
C. R. Math. Acad. Sci. Paris Vol. 359, p. 155-160, 2021

A. Garroni, R. Marziani, R. Scala:
Derivation of a line-tension model for dislocations from a nonlinear three-dimensional energy: the case of the quadratic growth
SIAM J. Math. Anal. Vol. 53, N. 4, p. 4252-4302, 2021

A. Garroni, A. Malusa:
Duality arguments for linear elasticity problems with incompatible  deformation fields
J. Convex Analysis Vol. 28, p. 569-580, 2021

S. Conti, A. Garroni, S. Müller:
Derivation of strain-gradient plasticity from a generalized Peierls-Nabarro model
JEMS (Accepted Paper) 2022

S. Conti, A. Garroni, R. Marziani:
Line-tension limits for line singularities and application to the mixed-growth case
Calc. Var. PDE (Accepted Paper) p. 65, 2022

M. Fortuna, A. Garroni:
Homogenization of line tension energies
(Submitted Paper) 2023