Publications
Publications
Submitted and accepted papers
Existence and uniqueness of minimizers for axisymmetric nematic films
Joint work with G. Bevilacqua, C. Lonati and A. Marzocchi
Submitted for publication.
Published papers
Homogenization and 3D-2D dimensional reduction of a functional on manifold valued BV space
Joint work with A. Torricelli and E. Zappale
Math. Eng. 8 (2026), no. 3, 368-401.
Homogenization and 3D-2D dimensional reduction of a functional on manifold valued Sobolev spaces
Joint work with M. Eleuteri, A. Torricelli and E. Zappale
Nonlinear Anal. Real World Appl. 91 (2026), 104579, 14 pp.
A variational analysis of nematic axisymmetric films: the covariant derivative case
Joint work with G. Bevilacqua, C. Lonati and A. Marzocchi
Calc. Var. Partial Differential Equations 65 (2026), no. 14, 25 pp.
Variational evolution of discrete one-dimensional second-order functional
Joint work with A. Defranceschi and E. Vitali
Math. Mech. Solids 30 (2025), no. 6, 1249–1281.
Einstein warped-product manifolds and the screened Poisson equation
Joint work with A. Pigazzini, M. Toda and A. DeBenedictis
In ''Recent Advances in Differential Geometry and Related Area'', Contemp. Math. AMS 821 (2025), 173–179.
Modeling self-aggregation of stochastic particles: a Γ-convergence approach
Joint work with A. Melchor Hernandez and M. Morandotti
Math. Models Methods Appl. Sci. 34 (2024), no. 10, 1971–1994.
Elastic membranes spanning deformable curves
Joint work with F. Ballarin, G. Bevilacqua and A. Marzocchi
Z. Angew. Math. Mech. 104 (2024), no. 6, 33 pp.
Geometric invariants of non-smooth framed curves
Joint work with G. Bevilacqua and A. Marzocchi
In ''Anisotropic isoperimetric problems and related topics'', Springer INdAM series, vol. 62 (2024), 1–13.
Soap films: from the Plateau problem to deformable boundaries
Joint work with G. Bevilacqua and A. Marzocchi
Commun. Appl. Ind. Math. 15 (2024), no. 1, 137–155.
Direct minimization of the Canham-Helfrich energy on Generalized Gauss Graphs
Joint work with A. Kubin and M. Morandotti
J. Geom. Anal. 34 (2024), no.121, 25 pp.
Asymptotic analysis of a family of non-local functionals on sets
Joint work with M. Eleuteri and A. Torricelli
ESAIM Control Optim. Calc. Var. 29 (2023), 15 pp.
Variational analysis of inextensible elastic curves
Joint work with G. Bevilacqua and A. Marzocchi
Proc. R. Soc. A. 478 (2022), 20210741, 16 pp.
Lipschitz minimizers for a class of integral functionals under the bounded slope condition
Joint work with S. Don, A. Pinamonti and G. Treu
Nonlinear Anal. 216 (2022), 112689, 27 pp.
On the anisotropic Kirchhoff-Plateau problem
Joint work with A. De Rosa
Math. Eng. 4 (2022), no. 2, 1-13.
Anisotropic tubular neighborhoods of sets
Joint work with A. Chambolle and E. Villa
Math. Z. 299 (2021), no. 3-4, 1257-1274.
Dimensional reduction of the Kirchhoff-Plateau problem
Joint work with G. Bevilacqua and A. Marzocchi
J. Elasticity 140 (2020), no. 1, 135-148.
Existence of varifold minimizers for the multiphase Canham-Helfrich functional
Joint work with K. Brazda and U. Stefanelli
Calc. Var. Partial Differential Equations 59 (2020), no. 93, 26 pp.
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.
Soap film spanning an elastic link
Joint work with G. Bevilacqua and A. Marzocchi
Quart. Appl. Math. 77 (2019), no. 3, 507-523.
Monotonicity formulae for smooth extremizers of integral functionals
Joint work with E. Fried
Rend. Lincei Mat. Appl. 30 (2019), no. 2, 365-377.
The Plateau problem in the Calculus of Variations
Rendiconti Sem. Mat. Univ. Pol. Torino 77 (2019), no. 1, 45-82.
Stochastic homogenization of maximal monotone relations and applications
Joint work with S. Marini and M. Veneroni
Netw. Heterog. Media 13 (2018), no. 1, 27-45.
Soap film spanning electrically repulsive elastic protein links
Joint work with G. Bevilacqua and A. Marzocchi
Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur. 96 (2018), suppl. 3, A1, 13 pp.
Solution of the Kirchhoff-Plateau problem
Joint work with E. Fried and G.G. Giusteri
J. Nonlinear Sci. 27 (2017), no. 3, 1043-1063.
A uniqueness result for a class of non strictly convex variational problems
Joint work with E. Mascolo
J. Math. Anal. Appl. 446 (2017), no. 2, 1687-1694.
A general formula for the anisotropic outer Minkowski content of a set
Joint work with E. Villa
Proc. Roy. Soc. Edinburgh Sect. A 146 (2016), no. 2, 393-413.
Gamma convergence of a family of surface-director bending energies with small tilt
Joint work with M. Röger
Arch. Rational Mech. Anal. 219 (2016), no. 3, 985-1016.
A note on a phase-field model for anisotropic systems
Asymptotic Anal. 94 (2015), no. 3-4, 241-254.
On a Poisson’s equation arising from magnetism
Discrete Contin. Dyn. Syst. Ser. S 8 (2015), no. 4, 769-772.
Variational analysis of a mesoscale model for bilayer membranes
Joint work with M.A. Peletier and M. Röger
J. Fixed Point Theory Appl. 15 (2014), no. 1, 217-240.
Cooperative robustness to dephasing: Single-exciton superradiance in a nanoscale ring to model natural light-harvesting systems
Joint work with F. Borgonovi, G.L. Celardo and P. Poli
Phys. Rev. B 90, 085142 (2014).
Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials
Joint work with M. Eleuteri
Evol. Equ. Control Theory 3 (2014), no. 3, 411-427.
A remark on the anisotropic outer Minkowski content
Joint work with A. Chambolle and S. Lisini
Adv. Calc. Var. 7 (2014), no. 2, 241-266.
Surface energy arising from the behavior of lipid molecules in the water via Gamma-convergence
Joint work with A. Marzocchi
Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur. 91 (2013), suppl. 1, A12, 10 pp.
Gamma-limits of convolution functionals
Joint work with A. Magni
ESAIM Control Optim. Calc. Var. 19 (2013), no. 2, 486-515.
Determination of the equivalent anisotropy properties of polycrystalline magnetic materials: theoretical aspects and numerical analysis
Joint work with O. Bottauscio, V. Chiad`ò Piat, M. Eleuteri and A. Manzin
Math. Models Methods Appl. Sci. 23 (2013), no. 7, 1217-1233.
Thermal control of the Souza-Auricchio model for shape memory alloys
Joint work with M. Eleuteri and U. Stefanelli
Discrete Contin. Dyn. Syst. Ser. S 6 (2013), no. 2, 369-386.
Homogenization of random anisotropy properties in polycrystalline magnetic materials
Joint work with O. Bottauscio, V. Chiad`ò Piat, M. Eleuteri and A. Manzin
Physica B 407 (2012), 1417-1419.
A rate-independent model for permanent inelastic effects in shape memory materials
Joint work with M. Eleuteri and U. Stefanelli
Netw. Heterog. Media 6 (2011), no. 1, 145-165.
Continuous limits of discrete perimeters
Joint work with A. Chambolle and L. Lussardi
ESAIM Math. Model. Numer. Anal. 44 (2010), no. 2, 207-230.
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.
Quasistatic evolution for a model in strain gradient plasticity
Joint work with A. Giacomini
SIAM J. Math. Anal. 40 (2008), no. 3, 1201-1245.
An approximation result for free discontinuity functionals by means of non-local energies
Math. Meth. Appl. Sci. 31 (2008), no. 18, 2133-2146.
An approximation for the Mumford-Shah functional
Int. J. Contemp. Math. Sci. 2 (2007), no. 25, 1237-1245.
Convergence of non-local finite element energies for fracture mechanics
Joint work with M. Negri
Num. Funct. Anal. Optim. 28 (2007), no. 1-2, 83-109.
Non-local approximation of free discontinuity problems with linear growth
Joint work with E. Vitali
ESAIM Control Optim. Calc. Var. 13 (2007), no. 1, 135-162.
Non-local approximation of free discontinuity functionals with linear growth: the one-dimensional case
Joint work with E. Vitali
Ann. Mat. Pura Appl. 186 (2007), no. 4, 722-744.
Risultati di approssimazione per funzionali a discontinuità libera a crescita lineare
Boll. UMI sez. A, serie VIII, vol IX-A (Agosto 2006), 251-254.