P. Cermelli, G. Leoni: Interfacial energies for incoherent inclusions Archive Rational Mech. and Anal. Vol. 159, p. 335-361, 2001 S. Conti, I. Fonseca, G. Leoni: A $\Gamma$-convergence result for the two-gradient theory of phase transitions Comm. Pure Appl. Math. Vol. 55, N. 7, p. 857-936, 2002 I. Fonseca, G. Leoni, R. Paroni: On lower semicontinuity in $BH^p$ and 2-quasiconvexification Calc. Var. Partial Differential Equations Vol. 17, p. 283 - 309, 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 V. De Cicco, G. Leoni: A chain rule in $L^1(div;A)$ and its applications to lower semicontinuity Calc. Var. Partial Differential Equations Vol. 19 , N. 1, p. 23-51, 2004 I. Fonseca, G. Leoni, S. Mueller: $A$-quasiconvexity: weak convergence and the gap Ann. Inst. H. Poincaré Anal. Non Linéaire Vol. 21, N. 2, p. 209-236, 2004 I. Fonseca, G. Leoni, R. Paroni: On Hessian Matrices in the Space $BH$ Commun. Contemp. Math. Vol. 7, N. 4, p. 401-420, 2005 I. Fonseca, G. Leoni, J. Malý: Weak continuity and lower semicontinuity results for determinants Arch. Ration. Mech. Anal. Vol. 178, N. 3, p. 411-448, 2005 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 P. Cermelli, G. Leoni: Energy and Forces on Dislocations SIAM J. Math. Anal. Vol. 37, N. 4, p. 1131-1160 , 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, G. Leoni: Modern Methods in the Calculus of Variations: $L^p$ Spaces Springer Monographs in Mathematics (Book) p. 600, 2007 G. Leoni: A First Course in Sobolev Spaces Graduate Studies in Mathematics, American Mathematical Society (Book) Vol. 105, p. 607, 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 G. Dal Maso, I. Fonseca, G. Leoni: Nonlocal character of the reduced theory of thin films with higher order perturbations Adv. Cal. Var. Vol. 3, N. 3, p. 287-319, 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 A. Garroni, G. Leoni, M. Ponsiglione: Gradient theory for plasticity via homogenization of discrete dislocations J. Eur. Math. Soc. Vol. 12, N. 5, p. 1231-1266, 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 I. Fonseca, N. Fusco, G. Leoni, V. Millot: Material voids in elastic solids with anisotropic surface energies Journal de mathematiques pures et appliquees Vol. 96, p. 591-639, 2011 G. Leoni, D. Spector: Characterization of Sobolev and BV spaces Journal of Functional Analysis Vol. 261, p. 29262958, 2011 M. Chermisi, G. Dal Maso, I. Fonseca, G. Leoni: Singular perturbation models in phase transitions for second order materials Indiana University Mathematics Journal Vol. 60, p. 367-410, 2011 D. Arama, G. Leoni: On a variational approach for water waves Communications in Partial Differential Equations Vol. 37, p. 833874, 2012 I. Fonseca, N. Fusco, G. Leoni, M. Morini: Motion of Three-Dimensional Elastic Films by Anisotropic Surface Diffusion with Curvature Regularization (Submitted Paper) 2014 G. Dal Maso, I. Fonseca, G. Leoni: Analytical Validation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces Archive for Rational Mechanics and Analysis Vol. 212, p. 1037-1064, 2014 I. Fonseca, G. Leoni: Calculus of Variations (Accepted Paper) 2014 G. Leoni: A Remark on the Compactness for the Cahn-Hilliard Functional ESAIM: Control, Optimisation and Calculus of Variations Vol. 20, p. 517 - 523, 2014 G. Leoni, R. Murray: Second-Order $\Gamma$-limit for the Cahn-Hilliard Functional Archive of Rational Mechanics and Analysis (Submitted Paper) 2015 I. Fonseca, G. Leoni, X. Y. Lu: Regularity in time for weak solutions of a continuum model for epitaxial growth with elasticity on vicinal surfaces Commun. Part. Diff. Eq. Vol. 40, N. 10, p. 1942-1957, 2015 G. Dal Maso, I. Fonseca, G. Leoni: Second Order Asymptotic Development for the Anisotropic Cahn-Hilliard Functional Calc. Var. Partial Differential Equations Vol. 54, p. 1119-1145, 2015 T. Blass, I. Fonseca, G. Leoni, M. Morandotti: Dynamics for Systems of Screw Dislocations SIAM Journal on Applied Mathematics Vol. 75, p. 393-419, 2015 I. Fonseca, N. Fusco, G. Leoni, M. Morini: A model for dislocations in epitaxially strained elastic films (Submitted Paper) 2016 I. Fonseca, G. Leoni, M. G. Mora: A Second Order Minimality Condition for a Free-Boundary Problem (Submitted Paper) 2016 G. Leoni, R. Murray: A Note Regarding Second-Order $\Gamma$-limits for the Cahn--Hilliard Functional (Submitted Paper) 2017 G. Leoni: A First Course in Sobolev Spaces: Second Edition AMS Graduate Studies in Mathematics (Lecture Notes) Vol. 181, p. 734, 2017 G. Dal Maso, I. Fonseca, G. Leoni: Asymptotic Analysis of Second Order Nonlocal Cahn-Hilliard-Type Functionals Trans. Amer. Math. Soc. Vol. 370, N. 4, p. 27852823, 2018 G. Gravina, G. Leoni: On the existence and regularity of non-flat profiles for a Bernoulli free boundary problem (preprint) 2018 G. Leoni, I. Tice: Traces for homogeneous Sobolev spaces in infinite strip-like domains (preprint) 2018 G. Gravina, G. Leoni: Higher order Gamma-limits for singularly perturbed Dirichlet-Neumann problems (preprint) 2018 G. Gravina, G. Leoni: On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions (preprint) 2019 I. Fonseca, N. Fusco, G. Leoni, M. Morini: Global and local energy minimizers for a nanowire growth model (Submitted Paper) 2021 G. Leoni: A First Course in Fractional Sobolev Spaces (preprint) 2023