Preprints

  1. E. Davoli, E. Rocca, L. Scarpa, L. Trussardi
    Local asymptotics and optimal control for a viscous Cahn-Hilliard-reaction-diffusion model for tumor growth
    Eingereicht, 2023 (Preprint)
  2. G. Bonfanti, E. Davoli, R. Rossi
    A coupled rate-dependent/rate-independent system for adhesive contact in Kirchhoff-Love plates
    Eingereicht, 2023 (Preprint)
  3. E. Davoli, L. D'Elia, J. Ingmanns
    Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions
    Eingereicht, 2023 (Preprint)
  4. E. Davoli, R. Ferreira, I. Fonseca, J.A. Iglesias
    Dyadic partition-based training schemes for TV/TGV denoising
    Eingereicht, 2023 (Preprint)
  5. E. Davoli, G. Di Fratta, A. Fiorenza, L. Happ
    A modular Poincaré-Wirtinger type inequality on Lipschitz domains for Sobolev spaces with variable exponents
    Eingereicht, 2023 (Preprint)
  6. E. Davoli, G. Di Fratta, V. Pagliari
    Sharp conditions for the validity of the Bourgain-Brezis-Mironescu formula
    Eingereicht, 2023 (Preprint)
  7. M. Buzancic, E. Davoli, I. Velcic
    Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure
    Eingereicht, 2022 (Preprint)
  8. E. Davoli, C. Gavioli, V. Pagliari
    Homogenization of high-contrast media in finite-strain elastoplasticity
    Eingereicht, 2022 (Preprint)
  9. E. Davoli, C. Gavioli, V. Pagliari
    A homogenization result in finite plasticity
    Eingereicht, 2022 (Preprint)

Veröffentlichte und akzeptierte Paper

  1. M. Buzancic, E. Davoli, I. Velcic
    Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: the limiting regimes
    Adv. Calc. Var. (2023), zu erscheinen. (Preprint)
  2. E. Davoli, R. Ferreira, C. Kreisbeck, H. Schönberger
    Structural changes in nonlocal denoising models arising through bi-level parameter learning
    Applied Mathematics and Optimization 88 (2023), Art. 9 (Preprint)
  3. S. Almi, E. Davoli, M. Friedrich
    Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture
    J. Math. Pure Appl. (Preprint)
  4. E. Davoli, K. Nik, U. Stefanelli
    Existence results for a morphoelastic model
    ZAMM- Zeitschrift für Angewandte Mathematik und Mechanik (2022), zu erscheinen.
  5. E. Davoli, I. Mazari, U. Stefanelli
    Spectral optimization of inhomogeneous plates
    SIAM Journal on Control and Optimization (SICON) 61 (2023), 852-871 (Preprint)
  6. E. Davoli, M. Kružík, V. Pagliari
    Homogenization of high-contrast composites under differential constraints
    Advances in Calculus of Variations (2022). (Preprint)
  7. M. Bresciani, E. Davoli, M. Kružík
    Existence results in large-strain magnetoelasticity
    Ann. Inst. H. Poincare Anal. Nonlineaire 40 (2023),no. 3, 557-592 (Preprint)
  8. E. Davoli, G. Di Fratta, D. Praetorius, M. Ruggeri
    Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction
    Math. Models Methods Appl. Sci. 32 (2022), 911-939.
  9. E. Davoli, M. Friedrich
    Two-well linearization for solid-solid phase transitions
    JEMS (2022), zu erscheinen (Preprint)
  10. E. Davoli, I. Fonseca, P. Liu
    Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme
    Journal of Nonlinear Science 33 (2023), Art.41 (Preprint)
  11. E. Davoli, C. Kreisbeck
    On static and evolutionary homogenization in crystal plasticity for stratified composites
    In: Research in the Mathematics of Materials Science. Springer AWM series (2022), zu erscheinen (Preprint)
  12. E. Davoli, A. Molchanova, U. Stefanelli
    Equilibria of charged hyperelastic solids
    SIAM Journal of Mathematical Analysis 54 (2022), 1470--1487 (Preprint)
  13. E. Davoli, M. Kružík, P. Pelech
    Separately global solutions to rate-independent processes in large-strain inelasticity
    Nonlinear Analysis 215 (2022), 112668
  14. E. Davoli, L. Scarpa, L. Trussardi
    Local asymptotics for nonlocal convective Cahn-Hilliard equations with \(W^{1,1}\) kernel and singular potential
    Journal of Differential Equations 289 (2021), 35 – 58
  15. E. Davoli, T. Roubíček, U. Stefanelli
    A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains
    Mathematics and Mechanics of Solids 26(10) (2021), 1483 – 1497
  16. E. Davoli, L. Scarpa, L. Trussardi
    Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms
    Archive for Rational Mechanics and Analysis 239(1) (2021), 117 – 149
  17. E. Davoli, M. Kružík, P. Piovano, U. Stefanelli
    Magnetoelastic thin films at large strains
    Continuum Mechanics and Thermodynamics 33 (2021), 327 – 341
  18. E. Davoli, R.A. Ferreira, C.C. Kreisbeck
    Homogenization in BV of a model for layered composites in finite crystal plasticity
    Adv. Calc. Var. 14(3) (2021), 441 – 473
  19. E. Davoli, M. Friedrich
    Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions
    Calc. Var. Partial Differential Equations 59(44) (2020)
  20. E. Davoli, G. Di Fratta
    Homogenization of chiral magnetic materials - A mathematical evidence of Dzyaloshinskii's predictions on helical structures
    Journal of Nonlinear Science 30 (2020), 1229 – 1262
  21. E. Davoli, P. Piovano
    Derivation of a heteroepitaxial thin-film model
    Interfaces and Free Boundaries 22 (2020), 1 – 26
  22. E. Davoli, H. Ranetbauer, L. Scarpa, L. Trussardi
    Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics
    Ann. Inst. H. Poincaré Anal. Non Linéaire 37 (2020), 627 – 651
  23. E. Davoli, P. Piovano
    Analytical validation of the Young-Dupré law for epitaxially-strained thin films
    Math. Models Methods Appl. Sci. 29(12) (2019), 2183 – 2223
  24. M. Bonacini, E. Davoli, M. Morandotti
    Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films
    Nonlinear Differential Equations and Applications (NoDEA) 26(36) (2019)
  25. E. Davoli, T. Roubíček, U. Stefanelli
    Dynamic perfect plasticity and damage in viscoelastic solids
    ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik 99 (2019), e201800161
  26. E. Davoli, U. Stefanelli
    Dynamic perfect plasticity as convex minimization
    SIAM Journal on Mathematical Analysis 52 (2019), 672 – 730
  27. E. Davoli, P. Liu
    One dimensional fractional order TGV: Gamma-convergence and bi-level training scheme
    Commun. Math. Sci. 16 (2018), 213 – 237
  28. E. Davoli, I. Fonseca
    Relaxation of p-growth integral functionals under space-dependent differential constraints
    In: Trends in Applications of Mathematics to Mechanics. Springer INdAM Series 27 (2018)
  29. E. Davoli, P. Piovano, U. Stefanelli
    Sharp \(n^{3/4}\) law for the minimizers of the edge-isoperimetric problem in the triangular lattice
    Journal of Nonlinear Science, 27(2) (2017), 627 – 660
  30. E. Davoli, I. Fonseca
    Periodic homogenization of integral energies under space-dependent differential constraints
    Portugaliae Math., 73 (2016), 279 – 317
  31. E. Davoli, I. Fonseca
    Homogenization of integral energies under periodically oscillating differential constraints
    Calc. Var. Partial Differential Equations, 55 (2016), 1 – 60
  32. E. Davoli, P. Piovano, U. Stefanelli
    Wulff shape emergence in graphene
    Math. Models Methods Appl. Sci., 26 (2016), 12:2277 – 2310
  33. L. Bufford, E. Davoli, I. Fonseca
    Multiscale homogenization in Kirchhoff's nonlinear plate theory
    Math. Models Methods Appl. Sci., 25(09) (2015), 1765 – 1812
  34. E. Davoli, M. G. Mora
    Stress regularity for a new quasistatic evolution model of perfectly plastic plates
    Calc. Var. Partial Differential Equations, 54(3) (2015), 2581 – 2614
  35. E. Davoli, G. A. Francfort
    A Critical Revisiting of Finite Elasto-Plasticity
    SIAM Journal of Mathematical Analysis, 47 (2015), 526 – 565
  36. E. Davoli
    Linearized plastic plate models as Γ-limits of 3D finite elastoplasticity
    ESAIM:Control, Optimisation and calculus of variations, 20 (2014), 725 – 747
  37. E. Davoli
    Quasistatic evolution models for thin plates arising as low energy \(\Gamma\)-limits of finite plasticity
    Math. Models Methods Appl. Sci. 24 (2014), 2085 – 2153
  38. E. Davoli, M. G. Mora
    A quasistatic evolution model for perfectly plastic plates derived by \(\Gamma\)-convergence
    Ann. Inst. H. Poincaré Anal. Non Linéaire, 30 (2013), 615 – 660
  39. E. Davoli
    Thin-walled beams with a cross-section of arbitrary geometry: derivation of linear theories starting from 3D nonlinear elasticity
    Adv. Calc. Var. 6 (2013), 33 – 91
  40. 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

Proceedings

  1. E. Davoli
    Dynamic perfect plasticity as convex minimization
    Oberwolfach Reports, 15, Issue 1 (2018), 265 – 267

Arbeiten

  1. E. Davoli
    Multiscale problems in mechanics of materials
    Habilitationsschrift (in Englisch)
  2. E. Davoli
    Thin structures in nonlinear elasticity and in plasticity: a variational approach
    Dissertation (in Englisch)
  3. E. Davoli
    Convergenza di configurazioni di equilibrio per travi sottili in elasticità nonlineare
    Masterarbeit (in Italienisch)