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 N. Fusco, V. Julin, M. Morini: The isoperimetric inequality for the capillary energy outside convex cylinders (Submitted Paper) 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 Analysis & PDE (Accepted Paper) 2024 N. Fusco, V. Julin, M. Morini, A. Pratelli: The isoperimetric inequality for the capillary energy outside convex sets (Preprint) http://arxiv.org/abs/2509.10200 2025 V. Julin, M. Morini, F. Oronzio, E. Spadaro: A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D Archive for Rational Mechanics and Analysis Vol. 249, N. 6, p. Paper No. 78, 45, 2025 A. Chambolle, D. De Gennaro, M. Morini: Elementary discrete diffusion/redistancing schemes for the mean curvature flow Ann. Inst. H. Poincaré C Anal. Non Linéaire (Accepted Paper) http://arxiv.org/abs/2506.05946 2026