M. Barchiesi:
Loss of polyconvexity by homogenization: a new example
Calc. Var. Partial Differential Equations Vol. 30, N. 2, p. 215-230, 2007

M. Barchiesi:
Multiscale homogenization of convex functionals with discontinuous integrand
J. Convex Anal. Vol. 14, N. 1, p. 205-226, 2007

J. F. Babadjian, M. Barchiesi:
A variational approach to the local character of G-closure: the convex case
Ann. Inst. H. Poincaré Anal. Non Linéaire  Vol. 26, N. 2, p. 351-373, 2009

M. Barchiesi, G. Dal Maso:
Homogenization of fiber reinforced brittle materials: the extremal cases
SIAM J. Math. Anal. Vol. 41, p. 1874-1889, 2009

M. Barchiesi, S. H. Kang, T. M. Le, M. Morini, M. Ponsiglione:
A variational model for infinite perimeter segmentations based on Lipschitz level set functions: denoising while keeping finely oscillatory boundaries
Multiscale Model. Simul. Vol. 8, p. 1715-1741, 2010

M. Barchiesi, A. Gloria:
New counterexamples to the cell formula in nonconvex homogenization
Arch. Ration. Mech. Anal. Vol. 195, p. 991-1024, 2010

M. Barchiesi, M. Focardi:
Homogenization of the Neumann problem in perforated domains: an alternative approach
Calc. Var. Partial Differential Equations Vol. 42, p. 257-288 , 2011

M. Barchiesi, F. Cagnetti, N. Fusco:
Stability of the Steiner symmetrization of convex sets
J. Eur. Math. Soc. Vol. 15, p. 1245-1278, 2013

M. Barchiesi, G. M. Capriani, N. Fusco, G. Pisante:
Stability of Polya-Szego inequality for log-concave functions
J. Funct. Anal. Vol. 267, N. 7, p.  2264--22, 2014

M. Barchiesi, A. DeSimone:
Frank energy for nematic elastomers: a nonlinear model
ESAIM: COCV Vol. 21, N. 2, p. 372377, 2015

M. Barchiesi, G. Lazzaroni, C. I. Zeppieri:
A bridging mechanism in the homogenisation of brittle composites with soft inclusions
SIAM J. Math. Anal. Vol. 48, p. 1178-1209, 2016

M. Barchiesi, D. Henao, C. Mora-Corral:
Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity
Arch. Ration. Mech. Anal. Vol. 224, N. 2, p. 743--816, 2017

M. Barchiesi, V. Julin:
Robustness of the Gaussian concentration inequality and the Brunn-Minkowski inequality
Calc. Var. Partial Differential Equations  Vol. 56, N. 3, p. 1-12, 2017

M. Barchiesi, A. Brancolini, V. Julin:
Sharp dimension free quantitative estimates for the Gaussian isoperimetric inequality
Ann. Probab. Vol. 45, N. 2, p. 668--697, 2017

M. Barchiesi:
Toughening by crack deflection in the homogenization of brittle composites with soft inclusions
Arch. Ration. Mech. Anal. Vol. 227, p. 749766, 2018

M. Barchiesi, V. Julin:
Symmetry of minimizers of a Gaussian isoperimetric problem
Probab. Theory Related Fields Vol. 177, p. 217-256, 2020

M. Barchiesi, D. Henao, C. Mora-Corral, R. Rodiac:
Harmonic dipoles and the relaxation of the neo-Hookean energy in 3D elasticity
Arch. Ration. Mech. Anal. Vol. 247, N. 4, 2023

M. Barchiesi, D. Henao, C. Mora-Corral, R. Rodiac:
A relaxation approach to the minimisation of the neo-Hookean energy in 3D
(Submitted Paper) 2023

M. Barchiesi, D. Henao, C. Mora-Corral, R. Rodiac:
On the lack of compactness in the axisymmetric neo-Hookean model
Forum of Mathematics, Sigma Vol. 12, 2024