Maria Giovanna Mora

Research papers

1. M.G. Mora, L. Rondi, L. Scardia, E.G. Tolotti

   Nonlocal anisotropic Riesz interactions with a physical confinement

   SIAM J. Math. Anal., to appear.

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2. R.L. Frank, M.G. Mora, J. Mateu, L. Rondi, L. Scardia, J. Verdera

   Explicit minimisers for anisotropic Riesz energies

   Calc. Var. Partial Differential Equations 65 (2026), no. 34, 25pp.

   Link to the published paperOpen Access

3. C. Maor, M.G. Mora

   Rigorous analysis of shape transitions in frustrated elastic ribbons

   Preprint March 2025.

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4. J.-F. Babadjian, A. Giacomini, M.G. Mora

   Spatial regularity for general yield criteria in dynamic and quasi-static perfect plasticity

   Trans. Amer. Math. Soc., to appear.

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5. J. Casado-Díaz, G.A. Francfort, O. Lopez-Pamies, M.G. Mora

   Liquid filled elastomers: from linearization to elastic enhancement

   Arch. Rational Mech. Anal. 249 (2025), no. 5, 40pp.

   Link to the published paperOpen Access

6. R. Cristoferi, M.G. Mora, L. Scardia

   Shape optimisation for nonlocal anisotropic energies

   Comm. Partial Differential Equations 49 (2024), 780-804.

7. M.G. Mora

   Nonlocal anisotropic interactions of Coulomb type

   Proc. Roy. Soc. Edinburgh Sect. A 155 (2025), 1677-1707.

   Link to the published paperOpen Access

8. J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera

   Explicit minimisers for anisotropic Coulomb energies in 3D

   Adv. Math. 434 (2023), no. 109333, 28pp.

   Link to the published paperOpen Access

9. J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera

   Energy minimisers of perturbed dislocation energies

   Nonlinear Anal. 231 (2023), no. 113014, 13pp.

10. M.G. Mora, F. Riva

    Pressure live loads and the variational derivation of linear elasticity

    Proc. Roy. Soc. Edinburgh Sect. A 153 (2023), 1929-1964.

    Link to the published paperOpen Access

11. J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera

    Stability of ellipsoids as the energy minimizers of perturbed Coulomb energies

    SIAM J. Math. Anal. 55 (2023), 3650-3676.

12. L. Freddi, P. Hornung, M.G. Mora, R. Paroni

    Stability of boundary conditions for the Sadowsky functional

    J. Nonlinear Sci. 32 (2022), no. 72, 30pp.

    Link to the published paperOpen Access

13. M.G. Mora, A. Scagliotti

    Equilibrium measure for a nonlocal dislocation energy with physical confinement

    Adv. Calc. Var. 15 (2022), 929-938.

14. C. Maor, M.G. Mora

    Reference configurations versus optimal rotations: a derivation of linear elasticity from finite elasticity for all traction forces

    J. Nonlinear Sci. 31 (2021), no. 62, 28pp.

    Link to the published paperOpen Access

15. J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera

    Explicit minimizers of some non-local anisotropic energies: a short proof

    Izv. Math. 85 (2021), 468-482.

16. J.A. Carrillo, J. Mateu, M.G. Mora, L. Scardia, J. Verdera

    The equilibrium measure for an anisotropic nonlocal energy

    Calc. Var. Partial Differential Equations 60 (2021), no. 109, 28pp.

    Link to the published paperOpen Access

17. J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera

    A maximum-principle approach to the minimisation of a nonlocal dislocation energy

    Mathematics in Engineering 2 (2020), 253-263.

18. J.A. Carrillo, J. Mateu, M.G. Mora, L. Scardia, J. Verdera

    The ellipse law: Kirchhoff meets dislocations

    Commun. Math. Phys. 373 (2020), 507-524.

    Link to the published paperOpen Access

19. I. Fonseca, G. Leoni, M.G. Mora

    A second order minimality condition for a free-boundary problem

    Ann. Sc. Norm. Super. Pisa Cl. Sci. 19 (2019), 1303-1358.

20. M.G. Mora, L. Rondi, L. Scardia

    The equilibrium measure for a nonlocal dislocation energy

    Comm. Pure Appl. Math. 72 (2019), 136-158.

21. G.B. Maggiani, M.G. Mora

    Quasistatic evolution of perfectly plastic shallow shells: a rigorous variational derivation

    Ann. Mat. Pura Appl. 197 (2018), 775-815.

22. J.-F. Babadjian, M.G. Mora

    Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion

    J. Differential Equations 264 (2018), 5109-5151.

23. G.A. Francfort, M.G. Mora

    Quasistatic evolution in non-associative plasticity revisited

    Calc. Var. Partial Differential Equations 57 (2018), no. 11, 22pp.

24. L. Freddi, P. Hornung, M.G. Mora, R. Paroni

    One-dimensional von Kármán models for elastic ribbons

    Meccanica 53 (2018), 659-670.

25. M.G. Mora, M.A. Peletier, L. Scardia

    Convergence of interaction-driven evolutions of dislocations with Wasserstein dissipation and slip-plane confinement

    SIAM J. Math. Anal. 49 (2017), 4149-4205.

26. M.G. Mora

    Relaxation of the Hencky model in perfect plasticity

    J. Math. Pures Appl. 106 (2016), 725-743.

27. G.B. Maggiani, M.G. Mora

    A dynamic evolution model for perfectly plastic plates

    Math. Models Methods Appl. Sci. 26 (2016), 1825-1864.

28. L. Freddi, P. Hornung, M.G. Mora, R. Paroni

    A corrected Sadowsky functional for inextensible elastic ribbons

    J. Elasticity 123 (2016), 125-136.

29. L. Freddi, P. Hornung, M.G. Mora, R. Paroni

    A variational model for anisotropic and naturally twisted ribbons

    SIAM J. Math. Anal. 48 (2016), 3883-3906.

30. E. Davoli, M.G. Mora

    Stress regularity for a new quasistatic evolution model of perfectly plastic plates

    Calc. Var. Partial Differential Equations 54 (2015), 2581-2614.

31. J.-F. Babadjian, M.G. Mora

    Approximation of dynamic and quasi-static evolution problems in elasto-plasticity by cap models

    Q. Appl. Math. 73 (2015), 265-316.

32. L. Freddi, M.G. Mora, R. Paroni

    Nonlinear thin-walled beams with a rectangular cross-section - Part II

    Math. Models Methods Appl. Sci. 23 (2013), 743-775.

33. E. Davoli, M.G. Mora

    A quasistatic evolution model for perfectly plastic plates derived by Gamma-convergence

    Ann. Inst. H. Poincaré Anal. Nonlin. 30 (2013), 615-660.

34. E. Davoli, M.G. Mora

    Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density

    Proc. Roy. Soc. Edinburgh Sect. A 142 (2012), 501-524.

35. J.-F. Babadjian, G.A. Francfort, M.G. Mora

    Quasi-static evolution in nonassociative plasticity: the cap model

    SIAM J. Math. Anal. 44 (2012), 245-292.

36. L. Freddi, M.G. Mora, R. Paroni

    Nonlinear thin-walled beams with a rectangular cross-section - Part I

    Math. Models Methods Appl. Sci. 22 (2012), no. 1150016, 34pp.

37. M.G. Mora, L. Scardia

    Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density

    J. Differential Equations 252 (2012), 35-55.

38. H. Abels, M.G. Mora, S. Müller

    Large time existence for thin vibrating plates

    Comm. Partial Differential Equations 36 (2011), 2062-2102.

39. M. Lewicka, M.G. Mora, M.R. Pakzad

    The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells

    Arch. Rational Mech. Anal. 200 (2011), 1023-1050.

40. H. Abels, M.G. Mora, S. Müller

    The time-dependent von Kármán plate equation as a limit of 3D nonlinear elasticity

    Calc. Var. Partial Differential Equations 41 (2011), 241-259.

41. H. Abels, M.G. Mora, S. Müller

    Thin vibrating plates: long time existence and convergence to the von Kármán plate equations

    GAMM Mitt. 34 (2011), 97-101.

42. M. Lewicka, M.G. Mora, M.R. Pakzad

    Shell theories arising as low energy Gamma-limit of 3D nonlinear elasticity

    Ann. Sc. Norm. Super. Pisa Cl. Sci. 9 (2010), 253-295.

43. M. Lewicka, M.G. Mora, M.R. Pakzad

    A nonlinear theory for shells with slowly varying thickness

    C. R. Acad. Sci. Paris, Sér. I 347 (2009), 211-216.

44. F. Cagnetti, M.G. Mora, M. Morini

    A second order minimality condition for the Mumford-Shah functional

    Calc. Var. Partial Differential Equations 33 (2008), 37-74.

45. G. Dal Maso, A. DeSimone, M.G. Mora, M. Morini

    A vanishing viscosity approach to quasistatic evolution in plasticity with softening

    Arch. Rational Mech. Anal. 189 (2008), 469-544.

46. M.G. Mora, S. Müller

    Convergence of equilibria of three-dimensional thin elastic beams

    Proc. Roy. Soc. Edinburgh Sect. A 138 (2008), 873-896.

47. G. Dal Maso, A. DeSimone, M.G. Mora, M. Morini

    Globally stable quasistatic evolution in plasticity with softening

    Netw. Heterog. Media 3 (2008), 567-614.

48. M.G. Mora, S. Müller, M.G. Schultz

    Convergence of equilibria of planar thin elastic beams

    Indiana Univ. Math. J. 56 (2007), 2413-2438.

49. M.G. Mora, S. Müller

    Derivation of a rod theory for multiphase materials

    Calc. Var. Partial Differential Equations 28 (2007), 161-178.

50. G. Dal Maso, A. DeSimone, M.G. Mora, M. Morini

    Time-dependent systems of generalized Young measures

    Netw. Heterog. Media 2 (2007), 1-36.

51. G. Dal Maso, A. DeSimone, M.G. Mora

    Quasistatic evolution problems for linearly elastic-perfectly plastic materials

    Arch. Rational Mech. Anal. 180 (2006), 237-291.

52. M.G. Mora, S. Müller

    A nonlinear model for inextensible rods as a low energy Gamma-limit of three-dimensional nonlinear elasticity

    Ann. Inst. H. Poincaré Anal. Nonlin. 21 (2004), 271-293.

53. M.G. Mora, S. Müller

    Derivation of the nonlinear bending-torsion theory for inextensible rods by Gamma-convergence

    Calc. Var. Partial Differential Equations 18 (2003), 287-305.

54. G. Friesecke, R.D. James, M.G. Mora, S. Müller

    Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence

    C. R. Acad. Sci. Paris, Sér. I 336 (2003), 697-702.

55. M.G. Mora

    Local calibrations for minimizers of the Mumford-Shah functional with a triple junction

    Commun. Contemp. Math. 4 (2002), 297-326.

56. M.G. Mora

    The calibration method for free-discontinuity problems on vector-valued maps

    J. Convex Anal. 9 (2002), 1-29.

57. M.G. Mora, M. Morini

    Local calibrations for minimizers of the Mumford-Shah functional with a regular discontinuity set

    Ann. Inst. H. Poincaré Anal. Nonlin. 18 (2001), 403-436.

58. M. Gobbino, M.G. Mora

    Finite-difference approximation of free-discontinuity problems

    Proc. Roy. Soc. Edinburgh Sect. A 131 (2001), 567-595.

59. M.G. Mora, M. Morini

    Functionals depending on curvatures with constraints

    Rend. Sem. Mat. Univ. Padova 104 (2000), 173-199.

60. G. Dal Maso, M.G. Mora, M. Morini

    Local calibrations for minimizers of the Mumford-Shah functional with rectilinear discontinuity sets

    J. Math. Pures Appl. 79 (2000), 141-162.