L. De Luca, A. Garroni, M. Ponsiglione: $\Gamma$-convergence analysis of systems of edge dislocations: the self energy regime (ARMA) 2012 R. Alicandro, L. De Luca, A. Garroni, M. Ponsiglione: Metastability and dynamics of discrete topological singularities in two dimensions: a $\Gamma$-convergence approach Archive Rational Mech. Anal. Vol. 214, p. 269-330, 2014 R. Alicandro, L. De Luca, A. Garroni, M. Ponsiglione: Dynamics of discrete screw dislocations on glide directions J. Mech. Phys. Solids Vol. 92, p. 87-104, 2016 M. Cicalese, L. De Luca, M. Novaga, M. Ponsiglione: Ground States of a two phase model with cross and self attractive interactions SIAM J. Math. Anal. Vol. 48, N. 5, p. 3412-3443, 2016 L. De Luca: Gamma-convergence analysis for discrete topological singularities: the anisotropic triangular lattice and the long range interaction energy Asymptot. Anal. Vol. 96, N. 3, p. 185-221, 2016 L. De Luca, G. Friesecke: Classification of particle numbers with unique Heitmann-Radin minimizer J. Stat. Phys. Vol. 167, N. 6, p. 1586--1592, 2017 R. Alicandro, L. De Luca, A. Garroni, M. Ponsiglione: Minimising movements for the motion of discrete screw dislocations along glide directions Calc. Var. Partial Differential Equations Vol. 56:148, 2017 L. De Luca, G. Friesecke: Crystallization in two dimensions and a discrete Gauss-Bonnet theorem J. Nonlinear Sci. Vol. 28, N. 1, p. 69--90, 2017 R. Badal, M. Cicalese, L. De Luca, M. Ponsiglione: $\Gamma$-convergence analysis of a generalized $XY$ model: fractional vortices and string defects Commun. Math. Phys. Vol. 358, N. 2, p. 705739, 2018 L. De Luca, M. Novaga, M. Ponsiglione: $\Gamma$-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter J. Nonlinear Sci. Vol. 29, N. 4, p. 1273-1299, 2019 L. De Luca, M. Goldman, M. Strani: A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation Math. Annalen Vol. 374, N. 3-4, p. 2041-2081, 2019 G. Dal Maso, L. De Luca: A minimization approach to the wave equation on time-dependent domains Adv. Calc. Var. Vol. 13, N. 4, 2020 L. De Luca, M. Ponsiglione: Low energy configurations of topological singularities in two dimensions: A $\Gamma$-convergence analysis of dipoles Comm. Contemp. Math. Vol. 22, N. 3, 2020 A. Cesaroni, L. De Luca, M. Novaga, M. Ponsiglione: Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows Comm. Partial Differential Equations Vol. 46, N. 7, p. 1344-1371, 2021 L. Bétermin, L. De Luca, M. Petrache: Crystallization to the square lattice for a two body potential Arch. Rational Mech. Anal. Vol. 240, N. 2, 2021 L. De Luca, M. Novaga, M. Ponsiglione: The $0$-fractional perimeter between fractional perimeters and Riesz potentials Ann. Scuola Normale Sup. Pisa Vol. 22, N. 4, p. 1559-1596, 2021 R. Alicandro, A. Braides, M. Cicalese, L. De Luca, A. Piatnitski: Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches Arch. Ration. Mech. Anal. Vol. 243, p. 559-609, 2022 L. De Luca, A. Ninno, M. Ponsiglione: Vectorial crystallization problems and collective behavior J. Math. Biol. Vol. 84, 2022 L. De Luca, A. Kubin, M. Ponsiglione: The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows Nonlinear Anal. Vol. 214, 2022 L. De Luca, M. Ponsiglione, E. Spadaro: Two slope functions minimizing fractional seminorms and applications to misfit dislocations (Preprint) 2022 L. De Luca, R. Scala, N. Van Goethem: A new approach to topological singularities via a weak notion of Jacobian for functions of bounded variation Indiana Univ. Math. J. (Accepted Paper) 2022 R. Alicandro, L. De Luca, M. Palombaro, M. Ponsiglione: $\Gamma$-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions (Preprint) 2023 L. De Luca, G. Del Nin: A crystallization result in two dimensions for a soft disc affine potential (Preprint) 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. Crismale, L. De Luca, A. Kubin, A. Ninno, M. Ponsiglione: The variational approach to $s$-fractional heat flows and the limit cases $s\to 0^+$ and $s\to 1^-$ J. Funct. Anal. Vol. 284, p. Paper no. 109851, 2023 R. Alicandro, L. De Luca, G. Lazzaroni, M. Palombaro, M. Ponsiglione: Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice J. Nonlinear Sci. Vol. 33, N. 2, 2023 R. Alicandro, M. Cicalese, L. De Luca: Screw dislocations in periodic media: variational coarse graining of the discrete elastic energy Nonlinear Analysis Vol. 231, 2023 P. Cesana, L. De Luca, M. Morandotti: Semi-discrete modeling of systems of wedge disclinations and edge dislocations via the Airy stress function method SIAM Journal on Mathematical Analysis Vol. 56, N. 1, p. 79-136, 2024