Preprints                                                                                                                                                                               

1. E. Davoli, K. Nik, U. Stefanelli, G. Tomassetti.  
   An existence result for accretive growth in elastic solids.
   Submitted, 2024 (Preprint) 

2. E. Davoli, C. Gavioli, L. Lombardini.
   Existence results for Cahn-Hilliard-type systems driven by nonlocal integrodifferential operators with singular kernels.
   Submitted, 2024 (Preprint)

3. E. Davoli, G. Di Fratta, R. Giorgio.
   A Bourgain-Brezis-Mironescu formula accounting for nonlocal antisymmetric exchange interactions. 
   Submitted, 2024 (Preprint)                                                                                                                       

4. E. Davoli, U. Stefanelli.
   Level sets of Eikonal functions are John regular.
   Submitted, 2023 (Preprint)   

5. E. Davoli, E. Rocca, L. Scarpa, L. Trussardi
   Local asymptotics and optimal control for a viscous Cahn-Hilliard-reaction-diffusion model for tumor growth
   Submitted, 2023 (preprint)
6. G. Bonfanti, E. Davoli, R. Rossi
   A coupled rate-dependent/rate-independent system for adhesive contact in Kirchhoff-Love plates
   Submitted, 2023 (preprint)
7. E. Davoli, R. Ferreira, I. Fonseca, J.A. Iglesias
   Dyadic partition-based training schemes for TV/TGV denoising
   Submitted, 2023 (preprint)
8. E. Davoli, G. Di Fratta, A. Fiorenza, L. Happ
   A modular Poincaré-Wirtinger type inequality on Lipschitz domains for Sobolev spaces with variable exponents
   Submitted, 2023 (preprint)
9. E. Davoli, C. Gavioli, V. Pagliari
   Homogenization of high-contrast media in finite-strain elastoplasticity
   Submitted, 2022 (preprint)

Published and accepted papers

1. E. Davoli, G. Di Fratta, V. Pagliari
   Sharp conditions for the validity of the Bourgain-Brezis-Mironescu formula
   Proc. Royal Soc. Edinburgh: Section A Mathematics. Published online (2024): 1–24.
2. M. Buzancic, E. Davoli, I. Velcic
   Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure
   Calc. Var. Partial Differential Equations (2024) 63: 93.
3. E. Davoli, C. Gavioli, V. Pagliari
   A homogenization result in finite plasticity
   Calc. Var. Partial Differential Equations (2024) 63: 72.
4. E. Davoli, L. D'Elia, J. Ingmanns
   Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions
   J. Nonlinear Science 34 (2024), Art. 30.
5. M. Buzancic, E. Davoli, I. Velcic
   Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: the limiting regimes
   Adv. Calc. Var. (2024).
6. 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.
7. S. Almi, E. Davoli, M. Friedrich
   Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture
   J. Math. Pure Appl. 175 (2023), 1–36.
8. E. Davoli, K. Nik, U. Stefanelli
   Existence results for a morphoelastic model
   ZAMM- Zeitschrift für Angewandte Mathematik und Mechanik (2022).
9. E. Davoli, I. Mazari, U. Stefanelli
   Spectral optimization of inhomogeneous plates
   SIAM Journal on Control and Optimization (SICON) 61 (2023), 852-871.
10. E. Davoli, M. Kružík, V. Pagliari
    Homogenization of high-contrast composites under differential constraints
    Advances in Calculus of Variations (2022). 
11. M. Bresciani, E. Davoli, M. Kružík
    Existence results in large-strain magnetoelasticity
    Ann. Inst. H. Poincare Anal. Nonlineaire 40 (2023),no. 3, 557-592
12. 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.
13. E. Davoli, M. Friedrich
    Two-well linearization for solid-solid phase transitions
    J. Eur. Math. Soc. (2023).
14. 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.
15. 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).
16. E. Davoli, A. Molchanova, U. Stefanelli
    Equilibria of charged hyperelastic solids
    SIAM Journal of Mathematical Analysis 54 (2022), 1470--1487.
17. E. Davoli, M. Kružík, P. Pelech
    Separately global solutions to rate-independent processes in large-strain inelasticity
    Nonlinear Analysis 215 (2022), 112668
18. 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
19. 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
20. 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
21. E. Davoli, M. Kružík, P. Piovano, U. Stefanelli
    Magnetoelastic thin films at large strains
    Continuum Mechanics and Thermodynamics 33 (2021), 327 – 341
22. 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
23. 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)
24. 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
25. E. Davoli, P. Piovano
    Derivation of a heteroepitaxial thin-film model
    Interfaces and Free Boundaries 22 (2020), 1 – 26
26. 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
27. 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
28. 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)
29. E. Davoli, T. Roubíček, U. Stefanelli
    Dynamic perfect plasticity and damage in viscoelastic solids
    ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik 99 (2019), e201800161
30. E. Davoli, U. Stefanelli
    Dynamic perfect plasticity as convex minimization
    SIAM Journal on Mathematical Analysis 52 (2019), 672 – 730
31. E. Davoli, P. Liu
    One dimensional fractional order TGV: Gamma-convergence and bi-level training scheme
    Commun. Math. Sci. 16 (2018), 213 – 237
32. 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)
33. 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
34. E. Davoli, I. Fonseca
    Periodic homogenization of integral energies under space-dependent differential constraints
    Portugaliae Math., 73 (2016), 279 – 317
35. E. Davoli, I. Fonseca
    Homogenization of integral energies under periodically oscillating differential constraints
    Calc. Var. Partial Differential Equations, 55 (2016), 1 – 60
36. E. Davoli, P. Piovano, U. Stefanelli
    Wulff shape emergence in graphene
    Math. Models Methods Appl. Sci., 26 (2016), 12:2277 – 2310
37. L. Bufford, E. Davoli, I. Fonseca
    Multiscale homogenization in Kirchhoff's nonlinear plate theory
    Math. Models Methods Appl. Sci., 25(09) (2015), 1765 – 1812
38. 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
39. E. Davoli, G. A. Francfort
    A Critical Revisiting of Finite Elasto-Plasticity
    SIAM Journal of Mathematical Analysis, 47 (2015), 526 – 565
40. E. Davoli
    Linearized plastic plate models as Γ-limits of 3D finite elastoplasticity
    ESAIM:Control, Optimisation and calculus of variations, 20 (2014), 725 – 747
41. 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
42. 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
43. 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
44. 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

Theses

1. E. Davoli
   Multiscale problems in mechanics of materials
   Habilitation Thesis (in English)
2. E. Davoli
   Thin structures in nonlinear elasticity and in plasticity: a variational approach
   PhD Thesis (in English)
3. E. Davoli
   Convergenza di configurazioni di equilibrio per travi sottili in elasticità nonlineare
   Master Thesis (in Italian)