Submitted and accepted 

• G. Bevilacqua, C. Lonati, L. Lussardi and A. Marzocchi, Existence and uniqueness of minimizers for axisymmetric nematic films, submitted for publicaton.

• L. Lussardi, A. Torricelli and E. Zappale, Homogenization and 3D-2D dimensional reduction of a functional on manifold valued BV space, submitted for publication.

2026

• M. Eleuteri, L. Lussardi, A. Torricelli and E. Zappale, Homogenization and 3D-2D dimensional reduction of a functional on manifold valued Sobolev spaces, Nonlinear Anal. Real World Appl. 91 (2026), 104579, 14 pp.

• G. Bevilacqua, C. Lonati, L. Lussardi and A. Marzocchi, A variational analysis of nematic axisymmetric films: the covariant derivative case, Calc. Var. Partial Differential Equations 65 (2026), no. 14, 25 pp.

2025

•  A. Defranceschi, L. Lussardi and E. Vitali, Variational evolution of discrete one-dimensional second-order functionals, Math. Mech. Solids 30 (2025), no. 6, 1249–1281.

•  A. Pigazzini, L. Lussardi, M. Toda and A. DeBenedictis, Einstein warped-product manifolds and the screened Poisson equation, in ''Recent Advances in Differential Geometry and Related Area'', Contemp. Math. AMS. vol. 821

(2025), 173–179.

2024

• L. Lussardi, A. Melchor Hernandez and M. Morandotti, Modeling self-aggregation of stochastic particles: a Γ-convergence approach, Math. Models Methods Appl. Sci. 34 (2024), no. 10, 1971–1994.

• F. Ballarin, G. Bevilacqua, L. Lussardi and A. Marzocchi, Elastic membranes spanning deformable curves, Z. Angew. Math. Mech. 104 (2024), no. 6, 33 pp.

• A. Kubin, L. Lussardi and M. Morandotti, Direct minimization of the Canham-Helfrich energy on Generalized Gauss Graphs, J. Geom. Anal. 34 (2024), no.121, 25 pp.

• G. Bevilacqua, L. Lussardi and A. Marzocchi, Geometric invariants of non-smooth framed curves, in ''Anisotropic isoperimetric problems and related topics'', Springer INdAM series, vol. 62 (2024), 1–13.

• G. Bevilacqua, L. Lussardi and A. Marzocchi, Soap films: from the Plateau problem to deformable boundaries, Commun. Appl. Ind. Math. 15 (2024), no. 1, 137–155.

2023

• M. Eleuteri, L. Lussardi and A. Torricelli, Asymptotic analysis of a family of non-local functionals on sets, ESAIM Control Optim. Calc. Var. 29 (2023), 15 pp.

2022

• G. Bevilacqua, L. Lussardi and A. Marzocchi, Variational analysis of inextensible elastic curves, Proc. R. Soc. A. 478 (2022), 20210741, 16 pp.

• S. Don, L. Lussardi, A. Pinamonti and G. Treu, Lipschitz minimizers for a class of integral functionals under the bounded slope condition, Nonlinear Anal. 216 (2022), 112689, 27 pp.

• A. De Rosa and L. Lussardi, On the anisotropic Kirchhoff-Plateau problem, Math. Eng. 4 (2022), no. 2, 13 pp.

2021

• A. Chambolle, L. Lussardi and E. Villa, Anisotropic tubular neighborhoods of sets, Math. Z. 299 (2021), no. 3-4, 1257-1274.

2020

• G. Bevilacqua, L. Lussardi and A. Marzocchi, Dimensional reduction of the Kirchhoff-Plateau problem, J. Elasticity 140 (2020), no. 1, 135-148.

• K. Brazda, L. Lussardi and U. Stefanelli, Existence of varifold minimizers for the multiphase Canham-Helfrich functional, Calc. Var. Partial Differential Equations 59 (2020), no. 93, 26 pp.

• L. Lussardi, The Canham-Helfrich model for the elasticity of biomembranes as a limit of mesoscopic energies

Proceedings of the XXI International Conference on Geometry, Integrability and Quantization (Varna, June 3-8, 2019) (2020), 170–180.

2019

• G. Bevilacqua, L. Lussardi and A. Marzocchi, Soap film spanning an elastic link, Quart. Appl. Math. 77 (2019), no. 3, 507-523.

• E. Fried and L. Lussardi, Monotonicity formulae for smooth extremizers of integral functionals, Rend. Lincei Mat. Appl. 30 (2019), no. 2, 365-377.

• L. Lussardi, The Plateau problem in the Calculus of Variations, Rendiconti Sem. Mat. Univ. Pol. Torino 77 (2019), no. 1, 45-82.

2018

• L. Lussardi, S. Marini and M. Veneroni, Stochastic homogenization of maximal monotone relations and applications, Netw. Heterog. Media 13 (2018), no. 1, 27-45.

• G. Bevilacqua, L. Lussardi and A. Marzocchi, Soap film spanning electrically repulsive elastic protein links, Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur. 96 (2018), suppl. 3, A1, 13 pp.

2017

• G.G. Giusteri, L. Lussardi and E. Fried, Solution of the Kirchhoff-Plateau problem, J. Nonlinear Sci. 27 (2017), no. 3, 1043-1063.

• L. Lussardi and E. Mascolo, A uniqueness result for a class of non strictly convex variational problems, J. Math. Anal. Appl. 446 (2017), no. 2, 1687-1694.

2016

• L. Lussardi and E. Villa, A general formula for the anisotropic outer Minkowski content of a set, Proc. Roy. Soc. Edinburgh Sect. A 146 (2016), no. 2, 393-413.

• L. Lussardi and M. Röger, Gamma convergence of a family of surface-director bending energies with small tilt, Arch. Rational Mech. Anal. 219 (2016), no. 3, 985-1016.

2015

• L. Lussardi, A note on a phase-field model for anisotropic systems, Asymptotic Anal. 94 (2015), no. 3-4, 241-254.

• L. Lussardi, On a Poisson’s equation arising from magnetism, Discrete Contin. Dyn. Syst. Ser. S 8 (2015), no. 4, 769-772.

2014

• L. Lussardi, M.A. Peletier and M. Röger, Variational analysis of a mesoscale model for bilayer membranes, J. Fixed Point Theory Appl. 15 (2014), no. 1, 217-240.

• G.L. Celardo, P. Poli, L. Lussardi and F. Borgonovi, Cooperative robustness to dephasing: Single-exciton superradiance in a nanoscale ring to model natural light-harvesting systems, Phys. Rev. B 90, 085142 (2014).

• M. Eleuteri and L. Lussardi, Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials, Evol. Equ. Control Theory 3 (2014), no. 3, 411-427.

• A. Chambolle, S. Lisini and L. Lussardi, A remark on the anisotropic outer Minkowski content, Adv. Calc. Var. 7 (2014), no. 2, 241-266.

2013

• L. Lussardi and A. Marzocchi, Surface energy arising from the behavior of lipid molecules in the water via Gamma-convergence, Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur. 91 (2013), suppl. 1, A12, 10 pp.

• L. Lussardi and A. Magni, Gamma-limits of convolution functionals, ESAIM Control Optim. Calc. Var. 19 (2013), no. 2, 486-515.

• O. Bottauscio, V. Chiad`ò Piat, M. Eleuteri, L. Lussardi and A. Manzin, Determination of the equivalent anisotropy properties of polycrystalline magnetic materials: theoretical aspects and numerical analysis, Math. Models Methods Appl. Sci. 23 (2013), no. 7, 1217-1233.

• M. Eleuteri, L. Lussardi and U. Stefanelli, Thermal control of the Souza-Auricchio model for shape memory alloys, Discrete Contin. Dyn. Syst. Ser. S 6 (2013), no. 2, 369-386.

2012

• O. Bottauscio, V. Chiad`ò Piat, M. Eleuteri, L. Lussardi and A. Manzin, Homogenization of random anisotropy properties in polycrystalline magnetic materials, Physica B 407 (2012), 1417-1419.

2011

• M. Eleuteri, L. Lussardi and U. Stefanelli, A rate-independent model for permanent inelastic effects in shape memory materials, Netw. Heterog. Media 6 (2011), no. 1, 145-165.

2010

• A. Chambolle, A. Giacomini and L. Lussardi, Continuous limits of discrete perimeters, ESAIM Math. Model. Numer. Anal. 44 (2010), no. 2, 207-230.

• L. Lussardi, A Stampacchia-type inequality for a fourth order elliptic operator on Kähler manifolds and applications, Rend. Lincei Mat. Appl. 21 (2010), no. 2, 159-173.

2008

• A. Giacomini and L. Lussardi, Quasistatic evolution for a model in strain gradient plasticity, SIAM J. Math. Anal. 40 (2008), no. 3, 1201-1245.

• L. Lussardi, An approximation result for free discontinuity functionals by means of non-local energies, Math. Meth. Appl. Sci. 31 (2008), no. 18, 2133-2146.

2007

• L. Lussardi, An approximation for the Mumford-Shah functional, Int. J. Contemp. Math. Sci. 2 (2007), no. 25, 1237-1245.

• L. Lussardi and M. Negri, Convergence of non-local finite element energies for fracture mechanics, Num. Funct. Anal. Optim. 28 (2007), no. 1-2, 83-109.

• L. Lussardi and E. Vitali, Non-local approximation of free discontinuity problems with linear growth, ESAIM Control  Optim. Calc. Var. 13 (2007), no. 1, 135-162.

• L. Lussardi and E. Vitali, Non-local approximation of free discontinuity functionals with linear growth: the one-dimensional case, Ann. Mat. Pura Appl. 186 (2007), no. 4, 722-744.

2006

• L. Lussardi, Risultati di approssimazione per funzionali a discontinuità libera a crescita lineare, Boll. UMI sez. A, serie VIII, vol IX-A (Agosto 2006), 251-254.