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Multiscale
Calculus
of Variations
and PDEs
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Preprints

  • 64
    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)
  • 63
    C. Gavioli
    P. P.Krejčí
    Long time behavior of a porous medium model with degenerate hysteresis
    Submitted, 2023 (preprint)
  • 62
    L. D'Elia
    M. Eleuteri
    E. Zappale
    Homogenization of supremal functionals in vectorial setting (via power-law approximation)
    Submitted, 2023 (preprint)
  • 61
    G. Bonfanti
    E. Davoli
    R. Rossi
    A coupled rate-dependent/rate-independent system for adhesive contact in Kirchhoff-Love plates
    Submitted, 2023 (preprint)
  • 60
    E. Davoli
    L. D'Elia
    J. Ingmanns
    Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions
    Submitted, 2023 (preprint)
  • 59
    E. Davoli
    R. Ferreira
    I. Fonseca
    J.A. Iglesias
    Dyadic partition-based training schemes for TV/TGV denoising
    Submitted, 2023 (preprint)
  • 58
    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)
  • 57
    S. Almi
    E. Tasso
    Generalized bounded deformation in non-Euclidean settings
    Submitted, 2023 (preprint)
  • 56
    C. Gavioli
    P.Krejčí
    Degenerate diffusion with Preisach hysteresis
    Submitted, 2023 (preprint)
  • 55
    E. Davoli
    G. Di Fratta
    V. Pagliari
    Sharp conditions for the validity of the Bourgain-Brezis-Mironescu formula
    Submitted, 2023 (preprint)
  • 54
    S. Almi
    E. Tasso
    A general criterion for jump set slicing and applications
    Submitted, 2023 (preprint)
  • 53
    M. Buzancic
    E. Davoli
    I. Velcic
    Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure
    Submitted, 2022 (preprint)
  • 52
    E. Tasso
    Rectifiability of a class of integralgeometric measures and applications
    Submitted, 2022 (preprint)
  • 51
    E. Davoli
    C. Gavioli
    V. Pagliari
    Homogenization of high-contrast media in finite-strain elastoplasticity
    Submitted, 2022 (preprint)
  • 50
    E. Davoli
    C. Gavioli
    V. Pagliari
    A homogenization result in finite plasticity
    Submitted, 2022 (preprint)
  • 49
    S. Almi
    E. Tasso
    A new proof of compactness in G(S)BD
    Submitted, 2021 (preprint)

Published and accepted papers of the group since 2019

  • 48
    S.Almi
    S. Kroemer
    A. Molchanova
    A new example for the Lavrentiev phenomenon in Nonlinear Elasticity
    Zeitschrift für Angewandte Mathematik und Physik (ZAMP) (2023), to appear. (preprint)
  • 47
    S.Riccò
    A. Torricelli
    A necessary condition for extremality of solutions to autonomous obstacle problems with general growth (link)
    Nonlinear Analysis: Real World Applications, 76 (2023), 104005 (preprint)
  • 46
    M. Buzancic
    E. Davoli
    I. Velcic
    Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: the limiting regimes
    Adv. Calc. Var. (2023), to appear. (preprint)
  • 45
    M. Bresciani
    Quasistatic evolution in magnetoelasticity under subcritical coercivity assumptions (link)
    Calc. Var. 62 (2023), no. 7, Article no. 181. (preprint)
  • 44
    E. Davoli
    R. Ferreira
    C. Kreisbeck
    H. Schönberger
    Structural changes in nonlocal denoising models arising through bi-level parameter learning (link)
    Applied Mathematics and Optimization 88 (2023), Art. 9 (preprint)
  • 43
    A. Braides
    L. D'Elia
    Homogenization of discrete thin structures (link)
    Nonlinear Analysis (2022), to appear
  • 42
    S. Almi
    E. Davoli
    M. Friedrich
    Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture (link)
    J. Math. Pure Appl. (preprint)
  • 41
    B. Detmann
    C. Gavioli
    P. Krejčí
    J. Lamač
    Y. Namlyeyeva
    A model for lime consolidation of porous solids (link)
    Nonlinear Anal. Real World Appl., 65 (2022), 103483
  • 40
    C. Gavioli
    P. Krejčí
    Phase transitions in porous media (link)
    Nonlinear Differential Equations and Applications NoDEA, 29 (2022), 72 (preprint)
  • 39
    V. Pagliari
    K. Papafitsotros
    B. Raita
    A. Vikelis
    Bilevel training schemes in imaging for total-variation-type functionals with convex integrands (link)
    SIAM Journal on Imaging Sciences Vol. 15, Iss. 4 (2022) (preprint)
  • 38
    E. Davoli
    K. Nik
    U. Stefanelli
    Existence results for a morphoelastic model (link)
    ZAMM- Zeitschrift für Angewandte Mathematik und Mechanik (2022), to appear.
  • 37
    M. Bresciani
    M. Kružík
    A reduced model for plates arising as low energy $\Gamma$-limit in nonlinear magnetoelasticity (link)
    SIAM J. Math. Anal. 55 (2023), no. 4, 3108-3168 (preprint)
  • 36
    E. Davoli
    I. Mazari
    U. Stefanelli
    Spectral optimization of inhomogeneous plates (link)
    SIAM Journal on Control and Optimization (SICON) 61 (2023), 852-871 (preprint)
  • 35
    E. Davoli
    M. Kružík
    V. Pagliari
    Homogenization of high-contrast composites under differential constraints (link)
    Advances in Calculus of Variations (2022). (preprint)
  • 34
    M. Bresciani
    E. Davoli
    M. Kružík
    Existence results in large-strain magnetoelasticity (link)
    Ann. Inst. H. Poincare Anal. Nonlineaire 40 (2023),no. 3, 557-592 (preprint)
  • 33
    E. Davoli
    G. Di Fratta
    D. Praetorius
    M. Ruggeri
    Micromagnetics of thin films in the presence of Dzyaloshinskii-Moriya interaction (link)
    Math. Models Methods Appl. Sci. 32 (2022), 911-939.
  • 32
    E. Davoli
    M. Friedrich
    Two-well linearization for solid-solid phase transitions
    JEMS (2022), to appear (preprint)
  • 31
    E. Davoli
    I. Fonseca
    P. Liu
    Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme (link)
    Journal of Nonlinear Science 33 (2023), Art.41 (preprint)
  • 30
    I. Mazari
    D. Ruiz-Balet
    E. Zuazua
    Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous models
    Ann. Inst. H. Poincaré Anal. Non Linéaire (2022), to appear. (preprint)
  • 29
    I. Mazari
    D. Ruiz-Balet
    Quantitative stability for eigenvalues of Schrödinger operator, Quantitative bathtub principle & Application to the turnpike property for a bilinear optimal control problem (link)
    SIAM Journal on Mathematical Analysis 54 (2022), 3848--3883. (preprint)
  • 28
    E. Davoli
    C. Kreisbeck
    On static and evolutionary homogenization in crystal plasticity for stratified composites (link)
    In: Research in the Mathematics of Materials Science. Springer AWM series (2022), to appear (preprint)
  • 27
    E. Davoli
    A. Molchanova
    U. Stefanelli
    Equilibria of charged hyperelastic solids (link)
    SIAM Journal of Mathematical Analysis 54 (2022), 1470--1487 (preprint)
  • 26
    I. Mazari
    Quantitative estimates for parabolic optimal control problems under $L^{\infty}$ and $L^1$ constraints in the ball: Quantifying parabolic isoperimetric inequalities (link)
    Nonlinear Analysis 215 (2022), 112649
  • 25
    I. Mazari
    G. Nadin
    Y. Privat
    Shape optimization of a weighted two phase Dirichlet eigenvalue (link)
    Archive for Rational Mechanics and Analysis 243 (2022), 95 – 137
  • 24
    E. Davoli
    M. Kružík
    P. Pelech
    Separately global solutions to rate-independent processes in large-strain inelasticity (link)
    Nonlinear Analysis 215 (2022), 112668
  • 23
    A. Menovschikov
    A. Molchanova
    L. Scarpa
    An extended variational theory for nonlinear evolution equations via modular spaces (link)
    SIAM J. Math. Anal., 53(4) (2021), 4865 – 4907
  • 22
    A. Molchanova
    T. Roskovec
    F. Soudský
    Regularity of the inverse mapping in Banach function spaces (link)
    Mathematische Nachrichten 294(12) (2021), 2382 – 2395
  • 21
    M. Bresciani
    Linearized von Kármán theory for incompressible magnetoelastic plates (link)
    M3AS 31(10) (2021), 1987 – 2037
  • 20
    I. Mazari
    G. Nadin
    A.I. Toledo Marrero
    Optimisation of the total population size with respect to the initial condition for semilinear parabolic equations: Two-scale expansions and symmetrisations (link)
    Nonlinearity 34 (2021), 7510
  • 19
    I. Mazari
    D. Ruiz-Balet
    A fragmentation phenomenon for a non-energetic optimal control problem: optimisation of the total population size in logistic diffusive models (link)
    SIAM journal on Applied Mathematics 81(1) (2021), 153 – 172
  • 18
    E. Davoli
    L. Scarpa
    L. Trussardi
    Local asymptotics for nonlocal convective Cahn-Hilliard equations with $W^{1,1}$ kernel and singular potential (link)
    Journal of Differential Equations 289 (2021), 35 – 58
  • 17
    E. Davoli
    T. Roubíček
    U. Stefanelli
    A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains (link)
    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 (link)
    Archive for Rational Mechanics and Analysis 239(1) (2021), 117 – 149
  • 15
    P. Jain
    A. Molchanova
    M. Singh
    S. Vodopyanov
    On grand Sobolev spaces and pointwise description of Banach function spaces (link)
    Nonlinear Analysis 202 (2021), 112100
  • 14
    E. Davoli
    M. Kružík
    P. Piovano
    U. Stefanelli
    Magnetoelastic thin films at large strains (link)
    Continuum Mechanics and Thermodynamics 33 (2021), 327 – 341
  • 13
    O. Bouchala
    S. Hencl
    A. Molchanova
    Injectivity almost everywhere for weak limits of Sobolev homeomorphisms (link)
    J. Funct. Anal. 279(7) (2020)
  • 12
    I. Mazari
    G. Nadin
    Y. Privat
    Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate (link)
    Comm. PDEs (2021), to appear
  • 11
    E. Davoli
    R.A. Ferreira
    C.C. Kreisbeck
    Homogenization in BV of a model for layered composites in finite crystal plasticity (link)
    Adv. Calc. Var. 14(3) (2021), 441 – 473
  • 10
    A. Chambolle
    M. Novaga
    V. Pagliari
    On the convergence rate of some nonlocal energies (link)
    Nonlinear Analysis 200 (2020)
  • 9
    E. Davoli
    M. Friedrich
    Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions (link)
    Calc. Var. Partial Differential Equations 59(44) (2020)
  • 8
    E. Davoli
    G. Di Fratta
    Homogenization of chiral magnetic materials - A mathematical evidence of Dzyaloshinskii's predictions on helical structures (link)
    Journal of Nonlinear Science 30 (2020), 1229 – 1262
  • 7
    A. Molchanova
    S. K. Vodopyanov
    Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity (link)
    Calc. Var. Partial Differential Equations 59:17 (2020)
  • 6
    E. Davoli
    P. Piovano
    Derivation of a heteroepitaxial thin-film model (link)
    Interfaces and Free Boundaries 22 (2020), 1 – 26
  • 5
    E. Davoli
    H. Ranetbauer
    L. Scarpa
    L. Trussardi
    Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics (link)
    Ann. Inst. H. Poincaré Anal. Non Linéaire 37 (2020), 627 – 651
  • 4
    E. Davoli
    P. Piovano
    Analytical validation of the Young-Dupré law for epitaxially-strained thin films (link)
    Math. Models Methods Appl. Sci. 29(12) (2019), 2183 – 2223
  • 3
    M. Bonacini
    E. Davoli
    M. Morandotti
    Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films (link)
    Nonlinear Differential Equations and Applications (NoDEA) 26(36) (2019)
  • 2
    E. Davoli
    T. Roubíček
    U. Stefanelli
    Dynamic perfect plasticity and damage in viscoelastic solids (link)
    ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik 99 (2019), e201800161
  • 1
    E. Davoli
    U. Stefanelli
    Dynamic perfect plasticity as convex minimization (link)
    SIAM Journal on Mathematical Analysis 52 (2019), 672 – 730