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. 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 A. Figalli, N. Fusco, F. Maggi, V. Millot, M. Morini: Isoperimetry and stability properties of balls with respect to nonlocal energies Comm. Math. Phys. 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 V. Julin, M. Morini, F. Oronzio, E. Spadaro: A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D (Preprint) 2024 N. Fusco, F. Maggi, M. Morini, M. Novack: Rigidity and large volume residues in exterior isoperimetry for convex sets Advances in Mathematics 2024 A. Chambolle, D. De Gennaro, M. Morini: Discrete-to-continuous crystalline curvature flows (Preprint) 2024 N. Fusco, V. Julin, M. Morini: The isoperimetric inequality for the capillary energy outside convex cylinders (Submitted Paper) 2024