A. Giacomini:
A generalization of Golab's theorem and applications to fracture mechanics
Math. Models Methods Appl. Sci. Vol. 12, N. 9, p. 1245-1267, 2002

A. Giacomini, M. Ponsiglione:
A discontinuous finite element approximation of quasi-static growth of brittle fractures
Numer. Funct. Anal. Optim N. 24, p. 813-850, 2003

A. Giacomini:
A stability result for Neumann problems in dimension $N \ge 3$
J. Convex Anal. Vol. 11, N. 1, p. 41-58, 2004

A. Giacomini:
Size effects on quasistatic growth of fractures
SIAM J. Math. Anal. Vol. 36, p. 1887-1928, 2005

A. Giacomini:
Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
Calc. Var. Partial Differential Equations Vol. 22, p. 129-172, 2005

A. Giacomini, M. Ponsiglione:
Discontinuous finite element approximation of quasistatic crack growth in finite elasticity
Math. Models. and Methods Appl. Sci Vol. 16, N. 1, p. 77-118, 2006

A. Giacomini, M. Ponsiglione:
A Gamma-convergence approach to stability  of unilateral minimality properties  in fracture mechanics and applications
Arch. Ration. Mech. Anal Vol. 180, N. 3, p. 399-447, 2006

A. Giacomini, P. Trebeschi:
A density result for Sobolev spaces in dimension two, and applications to stability of nonlinear Neumann problems
J. Differential Equations Vol. 237, p. 27-60, 2007

A. Chambolle, A. Giacomini, M. Ponsiglione:
Piecewise rigidity
J. Funct. Anal. Vol. 244, p. 134-153, 2007

A. Giacomini, L. Lussardi:
Quasistatic evolution for a model in strain gradient plasticity
SIAM-J. Math. Anal. Vol. 40, N. 3, p. 1201-1245, 2008

A. Chambolle, A. Giacomini, M. Ponsiglione:
Crack initiation in brittle materials
Arch. Ration. Mech. Anal. Vol. 188, N. 2, p. 309-349, 2008

A. Giacomini, M. Ponsiglione:
Non interpenetration of matter for $SBV$-deformations of hyperelastic brittle materials
Proc. Roy. Soc. Edinburgh Sect. A Vol. 138A, p. 1019-1041, 2008

G. Dal Maso, A. Giacomini, M. Ponsiglione:
A variational model for quasistatic crack growth in nonlinear elasticity: some qualitative properties of the solutions
Boll. Un. Mat. Ital. (9) Vol. 2, p. 371-390, 2009

A. Chambolle, A. Giacomini, L. Lussardi:
Continuous limits of discrete perimeters
ESAIM Math. Model. Numer. Anal. Vol. 44, N. 2, p. 207-230, 2010

D. Bucur, A. Giacomini:
A variational approach to the isoperimetric inequality for the Robin eigenvalue problem
Arch. Ration. Mech. Anal. Vol. 198, p. 927-961, 2010

A. Giacomini, A. Musesti:
Two-scale homogenization for a model in strain gradient  plasticity
ESAIM Control Optim. Calc. Var. Vol. 17, p. 1035-1065, 2011

G. A. Francfort, A. Giacomini:
Small Strain Heterogeneous Elasto-Plasticity Revisited
Comm. Pure Appl. Math. Vol. 65, p. 1185-1241, 2012

G. A. Francfort, A. Giacomini, A. Musesti:
On the Fleck and Willis homogenization procedure in strain gradient plasticity
Discrete Contin. Dyn. Syst. Ser. S Vol. 6, N. 1, p. 43-62, 2013

A. Giacomini, A. Musesti:
Quasi-static evolutions in linear perfect plasticity as a variational limit of finite plasticity: a one-dimensional case
Math. Models and Methods Appl. Sci. Vol. 23, N. 7, p. 1275-1308, 2013

G. A. Francfort, A. Giacomini:
On periodic homogenization in perfect elasto-plasticity
J. Eur. Math. Soc. Vol. 16, N. 3, p. 409-461, 2014

J. F. Babadjian, A. Giacomini:
Existence of strong solutions for quasi-static evolution in brittle fracture
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. 13, p. 925--974, 2014

D. Bucur, A. Giacomini:
FABER-KRAHN INEQUALITIES FOR THE ROBIN-LAPLACIAN: A FREE DISCONTINUITY APPROACH
Arch. Ration. Mech. Anal. Vol. 218, p. 757-824, 2015

D. Bucur, A. Giacomini:
Shape optimization problems with Robin  conditions on the free boundary
Ann. Inst. H. Poincaré Anal. Non Linéaire (Accepted Paper) 2015

G. A. Francfort, A. Giacomini:
The role of a vanishing interfacial layer in perfect elasto-plasticity
Chin. Ann. Math. Ser. B Vol. 36, p. 813-828, 2015

G. A. Francfort, A. Giacomini, J. J. Marigo:
The taming of plastic slips in Von Mises elasto-plasticity
Interfaces Free Bound. Vol. 17, N. 4, p. 497516, 2015

G. A. Francfort, A. Giacomini, J. J. Marigo:
A case study for uniqueness of elasto-plastic evolutions: the bi-axial test
J. Math. Pures Appl. Vol. 105, p. 198-227, 2016

B. Bogosel, D. Bucur, A. Giacomini:
Optimal shapes maximizing the Steklov eigenvalues
(SIAM J. Math. Analysis (to appear)) 2016

D. Bucur, A. Giacomini, P. Trebeschi:
The Robin-Laplacian problem on varying domains
Calc. Var. Partial Differential Equations Vol. 55, p. 55-133, 2016

D. Bucur, A. Giacomini:
Minimization of the k-th eigenvalue of the Robin-Laplacian
(Preprint) 2017

D. Bucur, A. Giacomini, P. Trebeschi:
Best constant in Poincaré inequalities with traces: a free discontinuity approach
(Submitted Paper) 2017

G. A. Francfort, A. Giacomini, O. Lopez-Pamies:
A first step towards a variational view of cavitation
(Submitted Paper) 2017

D. Bucur, I. Fragalà, A. Giacomini:
Optimal partitions for Robin Laplacian eigenvalues
(preprint) 2018

D. Bucur, I. Fragalà, A. Giacomini:
Local minimality results for the Mumford-Shah functional via monotonicity
(Submitted Paper) 2018

D. Bucur, I. Fragalà, A. Giacomini:
Multiphase Free Discontinuity Problems: Monotonicity Formula and Regularity Results
(Submitted Paper) 2018

D. Bucur, I. Fragalà, A. Giacomini:
The Multiphase Mumford-Shah Problem
(Submitted Paper) 2019

D. Bucur, A. Giacomini, P. Trebeschi:
$L^\infty$ bounds of Steklov eigenfunctions and spectrum stability under domain variation
(Submitted Paper) 2019

D. Bucur, A. Giacomini, M. Nahon:
Degenerate free discontinuity problems and spectral inequalities in quantitative form
(Submitted Paper) 2020

D. Bucur, A. Giacomini, P. Trebeschi:
Stability results for the Robin Laplacian on nonsmooth domains
(Submitted Paper) 2021

D. Bucur, A. Chambolle, A. Giacomini, M. Nahon:
A free discontinuity approach to optimal profiles in Stokes flows
(preprint) 2023

S. Cito, A. Giacomini:
Minimization of the $k$-th eigenvalue of the Robin-Laplacian with perimeter constraint
(Submitted Paper) 2023