52
|
Spatial regularity for general yield criteria in dynamic and quasi-static perfect plasticity
|
J.-F. Babadjian, A. Giacomini, M.G. Mora |
Preprint 2024
|
51
|
A shape optimization problem for nematic and cholesteric liquid crystal drops
|
A. Giacomini, S. Paparini |
Preprint 2024
|
50
|
Minimization of the k-th eigenvalue of the Robin-Laplacian
with perimeter constraint.
|
S. Cito, A. Giacomini |
To appear on Calc.Var Partial Differential Equations
|
49
|
A free discontinuity approach to optimal profiles in Stokes flows.
|
D. Bucur, A. Chambolle, A. Giacomini, M. Nahön |
To appear on Ann. Inst. H. Poincaré Anal. Non Linéaire
|
48
|
Boundary behavior of Robin problems in
non-smooth domains.
|
D. Bucur, A. Giacomini, M. Nahön |
Preprint 2022
|
47
|
Stability results for the Robin Laplacian
on nonsmooth domains.
|
D. Bucur, A. Giacomini, P. Trebeschi |
SIAM J. Math. Anal. 54
(2022), no. 4, 4591–4624.
|
46 |
Degenerate Free Discontinuity Problems
and Spectral Inequalities in Quantitative Form |
D. Bucur, A. Giacomini, M. Nahön
|
Arch. Ration. Mech. Anal. 242
(2021), no. 1, 453--483 |
45 |
Multiphase Free Discontinuity Problems:
Monotonicity Formula and Regularity Results |
D. Bucur, I. Fragalà, A. Giacomini |
Ann. Inst. H. Poincaré Anal. Non Linéaire 38
(2021), no. 5, 1553--1582 |
44 |
L∞ bounds of Steklov
eigenfunctions and spectrum stability under domain
variation |
D. Bucur, A. Giacomini, P. Trebeschi |
J. Differential Equations. 269
(2020), no. 12, 11461--11491 |
43 |
Local minimality results for the
Mumford-Shah functional via monotonicity |
D. Bucur, I. Fragalà, A. Giacomini |
Analysis & PDE 13 (2020),
n. 3, 865-899 |
42 |
The multiphase Mumford-Shah problem |
D. Bucur, I. Fragalà, A. Giacomini |
SIAM J. Imaging Sci. 12
(2019), no. 3, 1561--1583 |
41 |
A first step towards a variational view
of cavitation |
G. Francfort, A. Giacomini, O. Lopez-Pamies |
Analysis & PDE 12 (2019),
no. 2, 417-447 |
40 |
Best constant in Poincaré inequalities
with traces: a free discontinuity approach |
D. Bucur, A. Giacomini, P. Trebeschi |
Ann. Inst. H. Poincaré Anal. Non Linéaire 36
(2019), no. 7, 1959--1986 |
39 |
Minimization of the k-th eigenvalue of
the Robin-Laplacian |
D. Bucur, A. Giacomini |
J. Funct. Anal. 277 (2019),
643-687 |
38 |
Optimal partitions for Robin Laplacian
eigenvalues |
D. Bucur, I. Fragalà, A. Giacomini |
Calc. Var. Partial Differential Equations 57
(2018), no. 5, article 122 |
37 |
Optimal shapes maximizing the Steklov
eigenvalues |
B. Bogosel, D. Bucur, A. Giacomini |
SIAM J. Math. Anal. 49
(2017), no. 2, 1645--1680 |
36 |
The Robin-Laplacian problem on varying
domains |
D. Bucur, A. Giacomini, P. Trebeschi |
Calc. Var. Partial Differential Equations 55
(2016), no. 6, 55--133 |
35 |
The Interface Control Domain Decomposition (ICDD) Method
for Stokes-Darcy coupling |
M. Discacciati, P. Gervasio, A. Giacomini, A. Quarteroni |
SIAM J. Numer. Anal. 54 (2),
1039–1068 |
34 |
The elasto-plastic exquisite corpse: a Suquet legacy |
G. Francfort, A. Giacomini, J.-J. Marigo |
J. Mech. Phys. Solids. 97
(2016), 125--139 |
33 |
The Saint-Venant inequality for the Laplace operator
with Robin boundary conditions |
D. Bucur, A. Giacomini |
Milan J. Math. 83 (2015),
327-343 |
32 |
Shape optimization problems with Robin
conditions on the free boundary |
D. Bucur, A. Giacomini |
Ann. Inst. H. Poincaré Anal. Non Linéaire 33
(2016), no. 6, 1539--1568 |
31 |
A case study for uniqueness of
elasto-plastic evolutions: the bi-axial test |
G. Francfort, A. Giacomini, J.-J. Marigo |
J. Math. Pures. Appl. 105
(2016), 198-227 |
30 |
The taming of plastic slips in Von Mises
elasto-plasticity |
G. Francfort, A. Giacomini, J.-J. Marigo |
Interfaces Free Bound. 17 (4)
(2015), 497?516 |
29 |
The role of a vanishing interfacial
layer in perfect elasto-plasticity |
G. Francfort, A. Giacomini |
Chin. Ann. Math. Ser. B 36
(2015), 813-828 |
28 |
Faber-Krahn inequalities for the
Robin-Laplacian: a free discontinuity approach |
D. Bucur, A. Giacomini |
Arch. Ration. Mech. Anal. 218
(2015), 757-824 |
27 |
The most dangerous flaw orientation in brittle materials
and structures |
A. Salvadori, A. Giacomini |
Int. J. Fract. 183 (2013),
19-28 |
26 |
Quasi-static evolutions in linear
perfect plasticity as a variational limit of finite
plasticity: a one-dimensional case |
A. Giacomini, A. Musesti |
Math. Models and Methods Appl. Sci. 23
(2013), 1275-1308 |
25 |
On periodic homogenization in perfect
elasto-plasticity |
G. Francfort, A. Giacomini |
J. Eur. Math. Soc. (JEMS) 16
(3) (2014), 409-461 |
24 |
Existence of strong solutions for
quasi-static evolution in brittle fracture |
J.-F. Babadjian, A. Giacomini |
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 13
(2014), 925-974 |
23 |
On
the Fleck and Willis homogenization procedure in strain
gradient plasticity |
G. Francfort, A. Giacomini, A. Musesti |
Discrete Contin. Dyn. Syst. Ser. S, 6,
no. 1, (2013) 43-62 |
22 |
Small strain heterogeneous
elasto-plasticity revisited |
G. Francfort, A. Giacomini |
Comm. Pure Appl. Math. 65
(2012), 1185--1241 |
21 |
On the energetic formulation of the Gurtin and Anand
model in strain gradient plasticity |
A. Giacomini |
Discrete Contin. Dyn. Syst. Ser. B 17
(2012), 527--552 |
20 |
Two-scale homogenization for a model in
strain gradient plasticity |
A. Giacomini, A. Musesti |
ESAIM Control Optim. Calc. Var. 17
(2011) 1035--1065 |
19 |
A variational approach to the
isoperimetric inequality for the Robin eigenvalue
problem |
D. Bucur, A. Giacomini |
Arch. Ration. Mech. Anal. 198
(2010), 927-961 |
18 |
Continuous limits of discrete perimeters |
A. Chambolle, A. Giacomini and L. Lussardi |
ESAIM Math. Model. Numer. Anal. 44
(2010), 207-230 |
17 |
A variational model for quasistatic
crack growth in nonlinear elasticity: some qualitative
properties of the solutions |
G. Dal Maso, A. Giacomini, M. Ponsiglione |
Boll. Un. Mat. Ital. (9), 2
(2009), 371--390 |
16 |
Quasistatic evolution for a model in
strain gradient plasticity |
A. Giacomini, L. Lussardi |
SIAM J. Math. Anal. 40
(2008), no. 3, 1201-1245 |
15 |
Influence of material parameters and crystallography on
the size effects describable by means of strain gradient
plasticity |
L. Bardella, A. Giacomini |
J. Mech. Phys. Solids. 56
(2008), no. 9, 2906--2934 |
14 |
Whitney property in two dimensional Sobolev spaces |
D. Bucur, A. Giacomini and P. Trebeschi |
Proc. Amer. Math. Soc. 136
(2008), no. 7, 2535--2545 |
13 |
Non interpenetration of matter for
SBV-deformations of hyperelastic brittle materials |
A. Giacomini, M. Ponsiglione |
Proc. Roy. Soc. Edinburgh Sect A. 138A
(2008), 1019-1041 |
12 |
Piecewise rigidity |
A. Chambolle, A. Giacomini and M. Ponsiglione |
J. Funct. Anal. 244 (2007),
134-153 |
11 |
A density result for Sobolev spaces in
dimension two, and applications to stability of
nonlinear Neumann problems |
A. Giacomini, P. Trebeschi |
J. Differential Equations 237
(2007) 27--60 |
10 |
Crack initiation in brittle materials |
A. Chambolle, A. Giacomini and M. Ponsiglione |
Arch. Ration. Mech. Anal.188
(2008), 309-349 |
9 |
A Γ-convergence approach to stability of
unilateral minimality properties in fracture mechanics
and applications |
A. Giacomini, M. Ponsiglione |
Arch. Ration. Mech. Anal. 180
(2006), 399--447 |
8 |
Discontinuous finite element
approximation of quasistatic crack growth in nonlinear
elasticity |
A. Giacomini, M. Ponsiglione |
Math. Models and Methods Appl. Sci. 16
(2006), 77--118 |
7 |
Size effects
on quasi-static growth of cracks |
A. Giacomini |
SIAM J. Math. Anal. 36
(2005), 1187-1928 |
6 |
Ambrosio-Tortorelli approximation of
quasi-static evolution of brittle fractures |
A. Giacomini |
Calc. Var. Partial Differential Equations 22
(2005), 129-172 |
5 |
A stability result for Neumann problems
in dimension N≥3 |
A. Giacomini |
J. Convex Anal. 11 (2004)
41--58 |
4 |
A
discontinuous finite element approximation of
quasi-static growth of brittle fractures |
A. Giacomini, M. Ponsiglione |
Numer. Funct. Anal. Optim. 24
(2003), 813-850 |
3 |
Multi-peak solutions for a class of degenerate elliptic
equations |
A. Giacomini, M. Squassina |
Asymptotic Anal. 36 (2003),
115-147 |
2 |
A
generalization of Golab's theorem and applications to
fracture mechanics |
A. Giacomini |
Math. Models and Methods Appl. Sci. 12
(2002) 1245-1267 |
1 |
Geodesical connectedness on stationary Lorentzian
manifolds with nonsmooth boundary |
M. Degiovanni, A. Giacomini |
in "Third World Congress of Nonlinear Analysts"
(Catania, 2000), V. Lakshmikhantham, ed.,
Nonlinear Anal. 47 (2001),
5041-5052 |