M. G. Mora, M. Morini:
Local calibrations for minimizers of the Mumford-Shah functional  with a regular discontinuity set
Ann. Inst. H. Poincaré Anal. Nonlin. Vol. 18, p. 403-436, 2001

M. Morini:
Global calibrations for the non-homogeneous Mumford-Shah functional
Annali dela Scuola Normale Superiore  p. 34, 2002

M. Morini:
Sequences of singularly perturbed problems generating free-discontinuity problems
SIAM Journal of Mathematical Analysis 2003

M. Morini, M. Negri:
Mumford-Shah functional as $\Gamma$-limit of discrete Perona-Malik energies
Math. Models Methods Appl. Sci. Vol. 13, p. 785-805, 2003

G. Leoni, M. Morini:
Some Remarks on the Analyticity of Minimizers of Free Discontinuity Problems
J. Math. Pures Appl. Vol. 82, p. 533 - 551, 2003

G. Dal Maso, I. Fonseca, G. Leoni, M. Morini:
Higher Order Quasiconvexity Reduces to Quasiconvexity
Archive Rational Mech. Anal. Vol. 171, p. 55-81, 2004

H. Koch, G. Leoni, M. Morini:
On optimal regularity of free boundary problems and a conjecture of De Giorgi
Communications on Pure and Applied Mathematics Vol. 58, p. 1051-1076, 2005

I. Fonseca, N. Fusco, G. Leoni, M. Morini:
Equilibrium configurations of epitaxially strained crystalline films: existence and regularity results
Arch. Ration. Mech. Anal. Vol. 186, N. 3, p. 477-537, 2007

G. Leoni, M. Morini:
Necessary and sufficient conditions for the chain rule in $W_{loc}^{1,1}(R^N;R^d)$ and $BV_{loc}(R^N;R^d)$
J. Eur. Math. Soc. (JEMS) Vol. 9, N. 2, p. 219-252, 2007

I. Fonseca, M. Morini, V. Slastikov:
Surfactants in foam stability: A phase field model
Arch. Ration. Mech. Anal. Vol. 183, N. 3, p. 411-456, 2007

G. Dal Maso, A. DeSimone, M. G. Mora, M. Morini:
Time-dependent systems of generalized Young measures
Netw. Heterog. Media Vol. 2, N. 1, p. 1-36, 2007

G. Dal Maso, A. DeSimone, M. G. Mora, M. Morini:
A vanishing viscosity approach to quasistatic evolution in plasticity with softening
Arch. Ration. Mech. Anal. Vol. 189, p. 469-544, 2008

G. Dal Maso, A. DeSimone, M. G. Mora, M. Morini:
Globally stable quasistatic evolution in plasticity with softening
Netw. Heterog. Media Vol. 3, p. 567-614, 2008

F. Cagnetti, M. G. Mora, M. Morini:
A second order minimality condition for the Mumford-Shah functional
Calc. Var. Vol. 33, p. 37-74, 2008

N. Fusco, M. Morini:
Equilibrium configurations of epitaxially strained elastic films: second order minimality conditions and qualitative properties of solutions
Arch. Ration. Mech. Anal. (Accepted Paper) 2009

G. Dal Maso, I. Fonseca, G. Leoni, M. Morini:
A higher order model for image restoration: the one dimensional case
SIAM J. Math. Anal. Vol. 40, p. 2351-2391, 2009

M. Morini, V. Slastikov:
Geometrically constrained walls in two dimensions.
(Submitted Paper) 2010

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

I. Fonseca, G. Leoni, F. Maggi, M. Morini:
Exact reconstruction of damaged color images using a total variation model
Ann. Inst. H. Poincaré Anal. Non Linéaire Vol. 27, N. 5, p. 1291-1331, 2010

N. Fusco, V. Millot, M. Morini:
A quantitative isoperimetric inequality for fractional perimeters
(Submitted Paper) 2010

I. Fonseca, N. Fusco, G. Leoni, M. Morini:
Motion of elastic thin films by anisotropic surface diffusion with curvature regularization
Archive for Rational Mechanics and Analysis Vol. 205, p. 425466, 2011

A. Chambolle, M. Morini, M. Ponsiglione:
A Non-Local Mean Curvature Flow and its semi-implicit time-discrete approximation
(Preprint) 2012

E. Acerbi, N. Fusco, M. Morini:
Minimality via second variation for a nonlocal isoperimetric problem
Communications in Mathematical Physics Vol. 322, p. 515--557, 2013

M. Bonacini, M. Morini:
Stable regular critical points of the Mumford-Shah functional are local minimizers
Ann. Inst. H. Poincaré Anal. Non Linéaire (Accepted Paper) 2014

I. Fonseca, N. Fusco, G. Leoni, M. Morini:
Motion of Three-Dimensional Elastic Films by Anisotropic Surface Diffusion with Curvature Regularization
(Submitted Paper) 2014

M. Morini, P. Sternberg:
Cascade of minimizers for a nonlocal isoperimetric problem in thin domains
SIAM Journal on Mathematical Analysis (Accepted Paper) 2014

A. Figalli, N. Fusco, F. Maggi, V. Millot, M. Morini:
Isoperimetry and stability properties of balls with respect to nonlocal energies
Comm. Math. Phys. (Accepted Paper) 2014

A. Chambolle, M. Morini, M. Ponsiglione:
Nonlocal curvature flows
Arch. Ration. Mech. Anal. 2015

M. Morini, V. Slastikov:
Geometrically induced phase transitions in two-dimensional dumbbell-shaped domains
Journal of Differential Equations 2015

I. Fonseca, N. Fusco, G. Leoni, M. Morini:
A model for dislocations in epitaxially strained elastic films
(Submitted Paper) 2016

A. Chambolle, M. Morini, M. Ponsiglione:
Existence and uniqueness for a crystalline mean curvature flow
Communications on Pure and Applied Mathematics (Published online) 2016

N. Fusco, V. Julin, M. Morini:
The surface diffusion flow with elasticity in the plane
(Submitted Paper) 2017

M. Morini, V. Slastikov:
Reduced models for ferromagnetic thin films with periodic surface roughness
J. Nonlinear Science (Accepted Paper) 2017

N. Fusco, V. Julin, M. Morini:
The surface diffusion flow with elasticity in three dimensions
(Submitted Paper) 2018

A. Chambolle, M. Morini, M. Novaga, M. Ponsiglione:
Generalized crystalline evolutions as limits of flows with smooth anisotropies
Anal. PDE Vol. 12, N. 3, p. 789-813, 2019

A. Chambolle, M. Morini, M. Novaga, M. Ponsiglione:
Existence and uniqueness for anisotropic and crystalline mean curvature flows
J. Amer. Math. Soc. Vol. 32, N. 3, p. 779824, 2019

E. Acerbi, N. Fusco, V. Julin, M. Morini:
Nonlinear stability results for  the modified Mullins-Sekerka  and the surface diffusion flow
Journal of Differential Geometry Vol. 113, p. 1--53, 2019

M. Morini, M. Ponsiglione, E. Spadaro:
Long time behaviour of discrete volume preserving mean curvature flows
(Preprint) 2020

N. Fusco, V. Julin, M. Morini:
Stationary sets and asymptotic behavior  of the  mean curvature flow with forcing in the plane
(Submitted Paper) 2020

N. Fusco, M. Morini:
Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains
(Submitted Paper) 2021

I. Fonseca, N. Fusco, G. Leoni, M. Morini:
Global and local energy minimizers for a nanowire growth model
(Submitted Paper) 2021

V. Julin, M. Morini, M. Ponsiglione, E. Spadaro:
The Asymptotics of the Area-Preserving Mean Curvature and the Mullins-Sekerka Flow in Two Dimensions
(Preprint) 2021

G. De Philippis, N. Fusco, M. Morini:
Regularity of capillarity droplets with obstacle
(Submitted Paper) 2022

A. Chambolle, D. De Gennaro, M. Morini:
Minimizing Movements for Anisotropic and Inhomogeneous Mean Curvature  Flows
Adv. Calc. Var 2022

M. Morini, C. Muratov, M. Novaga, V. Slastikov:
Transverse domain walls   in thin ferromagnetic strips
Arch. Rat. Mech. Anal. Vol. 247, N. 3, p. Article 59, 2023

L. De Luca, M. Morini, M. Ponsiglione, E. Spadaro:
Parabolic $\alpha$-Riesz flows and limit cases $\alpha\to 0^+$, $\alpha\to d^-$
(Preprint) 2023

N. Fusco, F. Maggi, M. Morini, M. Novack:
Rigidity and large volume residues in exterior isoperimetry for convex sets
(Preprint) 2023

A. Chambolle, D. De Gennaro, M. Morini:
Discrete-to-continuous crystalline curvature flows
(Preprint) 2024