L. Ambrosio, I. Fonseca, P. Marcellini, L. Tartar: On a Volume Constrained Variational Problem To appear on Arch. Rat. Mech. Anal. () 1998 A. Braides, I. Fonseca, G. A. Francfort: 3D-2D asymptotic analysis for inhomogeneous thin films Indiana univ. Math. J. Vol. 49, p. 1367-1404, 2000 I. Fonseca, C. Mantegazza: Second Order Singular Perturbation Models for Phase Transitions SIAM J. Math. Anal. Vol. 31, p. 1121-1143, 2000 I. Fonseca, N. Fusco, P. Marcellini: On the total variation of the Jacobian (Preprint) 2002 I. Fonseca, E. Zappale: Multiscale Relaxation of Convex Functionals Journal of Convex Analysis Vol. 10, N. 2, p. 325-350, 2002 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 E. Acerbi, G. Bouchitté, I. Fonseca: Relaxation of convex functionals: the gap problem Ann. Inst. H. Poincaré Anal. Non Linéaire Vol. 20, N. 3, p. 359-390, 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 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 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 I. Fonseca, G. Leoni: Modern Methods in the Calculus of Variations: $L^p$ Spaces Springer Monographs in Mathematics (Book) p. 600, 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, 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 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 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 I. Fonseca, N. Fusco, G. Leoni, M. Morini: Motion of Three-Dimensional Elastic Films by Anisotropic Surface Diffusion with Curvature Regularization (Submitted Paper) 2014 I. Fonseca, G. Leoni: Calculus of Variations (Accepted Paper) 2014 I. Fonseca, A. Pratelli, B. Zwicknagel: Shapes of epitaxially grown quantum dots ARMA 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, 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 L. Bufford, E. Davoli, I. Fonseca: Multiscale Homogenization in Kirchhoff's nonlinear plate theory Mathematical Models and Methods in Applied Sciences 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 E. Davoli, I. Fonseca: Homogenization of integral energies under periodically oscillating differential constraints Calc. Var. Partial Differential Equations 2016 E. Davoli, I. Fonseca: Periodic homogenization of integral energies under space-dependent differential constraints Portugalia Math. 2016 R. Ferreira, I. Fonseca, L. Mascarenhas: A chromaticity-brightness model for color images denoising in a Meyer's "u + v'' framework Calc. Var. Partial Differential Equations (Accepted) Vol. 56, 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 E. Davoli, I. Fonseca: Relaxation of p-growth integral functionals under space-dependent differential constraints Trends in Applications of Mathematics to Mechanics. 2018 R. Cristoferi, I. Fonseca, A. Hagerty, C. Popovici: A homogenization result in the gradient theory of phase transitions Interf. Free Boundaries Vol. 21, p. 367-408, 2019 R. Cristoferi, I. Fonseca: Piecewise constant reconstruction of damaged color images ESAIM: COCV Vol. 25, N. 37, 2019 I. Fonseca, N. Fusco, G. Leoni, M. Morini: Global and local energy minimizers for a nanowire growth model (Submitted Paper) 2021 R. Cristoferi, I. Fonseca, L. Ganedi: Homogenization and phase separation with space dependent wells - The subcritical case (Submitted Paper) 2022 E. Davoli, I. Fonseca, P. Liu: Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme Journal of Nonlinear Science (Accepted Paper) 2023 R. Cristoferi, I. Fonseca, L. Ganedi: Homogenization and Phase Separation with Fixed Wells - The Supercritical Case (Submitted Paper) 2023 E. Davoli, R. Ferreira, I. Fonseca, J. A. Iglesias: Dyadic partition-based training schemes for TV/TGV denoising (Submitted Paper) 2023