Research Papers

1. M.G. Mora, L. Rondi, L. Scardia, E.G. Tolotti
   Nonlocal anisotropic Riesz interactions with a physical confinement.
   Preprint July 2025, download
   
   
2. R.L. Frank, M.G. Mora, J. Mateu, L. Rondi, L. Scardia, J. Verdera
   Explicit minimisers for anisotropic Riesz energies.
   Preprint April 2025, download
   
   
3. C. Maor, M.G. Mora
   Rigorous analysis of shape transitions in frustrated elastic ribbons.
   Preprint March 2025, download
   
   
4. J.-F. Babadjian, A. Giacomini, M.G. Mora
   Spatial regularity for general yield criteria in dynamic and quasi-static perfect plasticity.
   Preprint November 2024, download
   
   
5. J. Casado-Díaz, G.A. Francfort, O. Lopez-Pamies, M.G. Mora
   Liquid filled elastomers: from linearization to elastic enhancement.
   Archive for Rational Mechanics and Analysis 249 (2025), Art. 5, 40pp.
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6. R. Cristoferi, M.G. Mora, L. Scardia
   Shape optimisation for nonlocal anisotropic energies.
   Communications in Partial Differential Equations 49 (2024), 780-804.
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7. M.G. Mora
   Nonlocal anisotropic interactions of Coulomb type.
   Proceedings of the Royal Society of Edinburgh Section A Mathematics, to appear.
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8. M.G. Mora, F. Riva
   Pressure live loads and the variational derivation of linear elasticity.
   Proceedings of the Royal Society of Edinburgh Section A Mathematics 153 (2023), 1929-1964.
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9. J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
   Explicit minimisers for anisotropic Coulomb energies in 3D.
   Advances in Mathematics 434 (2023), 109333.
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10. J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
    Energy minimisers of perturbed dislocation energies.
    Nonlinear Analysis: Theory, Methods & Applications 231 (2023), 113014.
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11. J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
    Stability of ellipsoids as the energy minimizers of perturbed Coulomb energies.
    SIAM Journal on Mathematical Analysis 55 (2023), 3650-3676.
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12. M.G. Mora, A. Scagliotti
    Equilibrium measure for a nonlocal dislocation energy with physical confinement.
    Advances in Calculus of Variations 15 (2022), 929-938.
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13. L. Freddi, P. Hornung, M.G. Mora, R. Paroni
    Stability of Boundary Conditions for the Sadowsky Functional.
    Journal of Nonlinear Science 32 (2022), 72.
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14. C. Maor, M.G. Mora
    Reference Configurations Versus Optimal Rotations: A Derivation of Linear Elasticity from Finite Elasticity for all Traction Forces.
    Journal of Nonlinear Science 31 (2021), 62.
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15. J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera
    Explicit minimizers of some non-local anisotropic energies: A short proof.
    Izvestiya Mathematics 85 (2021), 468-482.
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16. J.A. Carrillo, J. Mateu, M.G. Mora, L. Scardia, J. Verdera
    The equilibrium measure for an anisotropic nonlocal energy.
    Calculus of Variations and Partial Differential Equations 60 (2021), 109.
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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.
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18. J.A. Carrillo, J. Mateu, M.G. Mora, L. Scardia, J. Verdera
    The Ellipse Law: Kirchhoff Meets Dislocations.
    Communications in Mathematical Physics 373 (2020), 507-524.
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19. I. Fonseca, G. Leoni, M.G. Mora
    A second order minimality condition for a free-boundary problem.
    Annali della Scuola Normale Superiore di Pisa Classe di Scienze 19 (2019), 1303-1358.
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20. M.G. Mora, L. Rondi, L. Scardia
    The Equilibrium Measure for a Nonlocal Dislocation Energy.
    Communications on Pure and Applied Mathematics 72 (2019), 136-158.
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21. G.B. Maggiani, M.G. Mora
    Quasistatic evolution of perfectly plastic shallow shells: a rigorous variational derivation.
    Annali di Matematica Pura ed Applicata 197 (2018), 775-815.
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22. J.-F. Babadjian, M.G. Mora
    Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion.
    Journal of Differential Equations 264 (2018), 5109-5151.
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23. G.A. Francfort, M.G. Mora
    Quasistatic evolution in non-associative plasticity revisited.
    Calculus of Variations and Partial Differential Equations 57 (2018), 11.
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24. L. Freddi, P. Hornung, M.G. Mora, R. Paroni
    One-dimensional von Kármán models for elastic ribbons.
    Meccanica 53 (2018), 659-670.
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25. M.G. Mora, M.A. Peletier, L. Scardia
    Convergence of interaction-driven evolutions of dislocations with Wasserstein dissipation and slip-plane confinement.
    SIAM Journal on Mathematical Analysis 49 (2017), 4149-4205.
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26. M.G. Mora
    Relaxation of the Hencky model in perfect plasticity.
    Journal des Mathématiques Pures et Appliquées 106 (2016), 725-743.
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27. G.B. Maggiani, M.G. Mora
    A dynamic evolution model for perfectly plastic plates.
    Mathematical Models and Methods in Applied Sciences 26 (2016), 1825-1864.
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28. L. Freddi, P. Hornung, M.G. Mora, R. Paroni
    A Corrected Sadowsky Functional for Inextensible Elastic Ribbons.
    Journal of Elasticity 123 (2016), 125-136.
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29. L. Freddi, P. Hornung, M.G. Mora, R. Paroni
    A variational model for anisotropic and naturally twisted ribbons.
    SIAM Journal on Mathematical Analysis 48 (2016), 3883-3906.
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30. E. Davoli, M.G. Mora
    Stress regularity for a new quasistatic evolution model of perfectly plastic plates.
    Calculus of Variations and Partial Differential Equations 54 (2015), 2581-2614.
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31. E. Davoli, M.G. Mora
    Approximation of dynamic and quasi-static evolution problems in elasto-plasticity by cap models.
    Quarterly of Applied Mathematics 73 (2015), 265-316.
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32. L. Freddi, P. Hornung, M.G. Mora, R. Paroni
    Nonlinear thin-walled beams with a rectangular cross-section - Part II.
    Mathematical Models and Methods in Applied Sciences 23 (2013), 743-775.
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33. E. Davoli, M.G. Mora
    A quasistatic evolution model for perfectly plastic plates derived by Gamma-convergence.
    Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire 30 (2013), 615-660.
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34. E. Davoli, M.G. Mora
    Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density.
    Proceedings of the Royal Society of Edinburgh Section A Mathematics 142 (2012), 501-524.
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35. J.-F. Babadjian, G.A. Francfort, M.G. Mora
    Quasi-static evolution in nonassociative plasticity: The cap model.
    SIAM Journal on Mathematical Analysis 44 (2012), 245-292.
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36. L. Freddi, P. Hornung, M.G. Mora, R. Paroni
    Nonlinear thin-walled beams with a rectangular cross-section - Part I.
    Mathematical Models and Methods in Applied Sciences 22 (2012), 1150016.
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37. M.G. Mora, L. Scardia
    Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density.
    Journal of Differential Equations 252 (2012), 35-55.
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38. H. Abels, M.G. Mora, S. Müller
    Large Time Existence for Thin Vibrating Plates.
    Communications in Partial Differential Equations 36 (2011), 2062-2102.
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39. M. Lewicka, M.G. Mora, M.R. Pakzad
    The Matching Property of Infinitesimal Isometries on Elliptic Surfaces and Elasticity of Thin Shells.
    Archive for Rational Mechanics and Analysis 200 (2011), 1023-1050.
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40. H. Abels, M.G. Mora, S. Müller
    The time-dependent von Kármán plate equation as a limit of 3D nonlinear elasticity.
    Calculus of Variations and Partial Differential Equations 41 (2011), 241-259.
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41. H. Abels, M.G. Mora, S. Müller
    Thin vibrating plates: Long time existence and convergence to the von Kármán plate equations.
    GAMM Mitteilungen 34 (2011), 97-101.
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42. M. Lewicka, M.G. Mora, M.R. Pakzad
    Shell theories arising as low energy Gamma-limit of 3D nonlinear elasticity.
    Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 9 (2010), 253-295.
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43. M. Lewicka, M.G. Mora, M.R. Pakzad
    A nonlinear theory for shells with slowly varying thickness.
    Comptes Rendus Mathématique 347 (2009), 211-216.
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44. F. Cagnetti, M.G. Mora, M. Morini
    A second order minimality condition for the Mumford-Shah functional.
    Calculus of Variations and Partial Differential Equations 33 (2008), 37-74.
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45. G. Dal Maso, A. DeSimone, M.G. Mora, M. Morini
    A vanishing viscosity approach to quasistatic evolution in plasticity with softening.
    Archive for Rational Mechanics and Analysis 189 (2008), 469-544.
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46. M.G. Mora, S. Müller
    Convergence of equilibria of three-dimensional thin elastic beams.
    Proceedings of the Royal Society of Edinburgh Section A Mathematics 138 (2008), 873-896.
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47. G. Dal Maso, A. DeSimone, M.G. Mora, M. Morini
    Globally stable quasistatic evolution in plasticity with softening.
    Networks and Heterogeneous Media 3 (2008), 567-614.
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48. M.G. Mora, S. Müller, M.G. Schultz
    Convergence of equilibria of planar thin elastic beams.
    Indiana University Mathematics Journal 56 (2007), 2413-2438.
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49. M.G. Mora, S. Müller
    Derivation of a rod theory for multiphase materials.
    Calculus of Variations and 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.
    Networks and Heterogeneous Media 2 (2007), 1-36.
    
    
51. G. Dal Maso, A. DeSimone, M.G. Mora
    Quasistatic evolution problems for linearly elastic-perfectly plastic materials.
    Archive for Rational Mechanics and Analysis 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.
    Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire 21 (2004), 271-293.
    
    
53. M.G. Mora, S. Müller
    Derivation of the nonlinear bending-torsion theory for inextensible rods by Gamma-convergence.
    Calculus of Variations and 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.
    Comptes Rendus Mathématique 336 (2003), 697-702.
    
    
55. M.G. Mora
    Local calibrations for minimizers of the Mumford-Shah functional with a triple junction.
    Communications in Contemporary Mathematics 4 (2002), 297-326.
    
    
56. M.G. Mora
    The calibration method for free-discontinuity problems on vector-valued maps.
    Journal of Convex Analysis 9 (2002), 1-29.
    
    
57. M.G. Mora, M. Morini
    Local calibrations for minimizers of the Mumford-Shah functional with a regular discontinuity set.
    Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire 18 (2001), 403-436.
    
    
58. M. Gobbino, M.G. Mora
    Finite-difference approximation of free-discontinuity problems.
    Proceedings of the Royal Society of Edinburgh Section A Mathematics 131 (2001), 567-595.
    
    
59. M.G. Mora, M. Morini
    Functionals depending on curvatures with constraints.
    Rendiconti del Seminario Matematico dell'Università di 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.
    Journal des Mathématiques Pures et Appliquées 79 (2000), 141-162.
    
    

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