Asymptotic behaviour of the positive solutions to semilinear parabolic systems
Mathematical modelling of the time-evolution of Alzheimer disease
Dissipative Maxwell systems with indefinite coefficients
Thin domain analysis (also in the Riemannian setting) for systems of PDEs
Hypocoercivity, semigroups, and the linearised Navier-Stokes system
Norm resolvent convergence in varying Hilbert spaces
Hadamard formulae for Maxwell and shape optimization
Spectral analysis of 3x3 J-self-adjoint block operator matrices, with C. Tretter, in preparation, 46pp.
Well-posedness of a model for the progression of Alzheimer's disease with a chemotactic term, with E. Brocchieri and F. Gladiali, in preparation 10pp.
Essential spectrum of the Maxwell system in unbounded domains, with M. Marletta, in preparation, 16pp.
Hadamard formulae for Steklov-type electromagnetic problems, with P. Luzzini, M. Zaccaron, in preparation, 10pp.
On the spectrum of a dissipative Maxwell system in the presence of Faraday layers, with M. Marletta, submitted, 38pp.
A model for the diffusion of Aβ-amyloids in the brain: existence, uniqueness, and qualitative analysis, with F. Gladiali, submitted, 33pp.
A note on Maxwell's eigenvalues on thin sets, with L. Provenzano, submitted, 24pp.
Steklov vs Steklov: a fourth order affair related to the Babuška paradox, with P.D. Lamberti, Nonlinear Analysis: Real World Applications 87, 16pp, https://doi.org/10.1016/j.nonrwa.2025.104464, 2026.
Spectral convergence for the Reissner-Mindlin system in arbitrary dimension, with D. Buoso, Journal of Differential Equations, Volume 422, Pages 386-425, ISSN 0022-0396, https://doi.org/10.1016/j.jde.2024.12.025, 2025.
Can dissipative Maxwell systems have open disks of eigenvalues? , Integral Equations and Operator Theory 97(1), Paper n° 3, 8pp., https://doi.org/10.1007/s00020-024-02788-1, 2025.
Essential spectrum for dissipative Maxwell equations in domains with cylindrical ends, with M. Marletta, published in Journal of Mathematical Analysis and Applications, 19pp, DOI: https://doi.org/10.1016/j.jmaa.2024.128174, 2024.
On the eigenvalues of the biharmonic operator on a thin set with Neumann boundary conditions, with L. Provenzano, Bulletin of the London Mathematical Society, 55(3), pp. 1154--1177, https://doi.org/10.1112/blms.12781, 2023.
On a Steklov spectrum in electromagnetics, with P.D. Lamberti, I.G. Stratis, 25 pp., contributed chapter in the book `Adventures in Contemporary Electromagnetic Theory', editors: Mackay T.G. and Lakhtakia A., https://doi.org/10.1007/978-3-031-24617-3_9, 2023.
Spectral analysis and domain truncation for Maxwell's equations, with S. Bögli, M. Marletta, C. Tretter, Journal de Mathématiques Pures et Appliquées, Vol 170, 96-135, DOI: doi.org/10.1016/j.matpur.2022.12.004, 2023.
Spectral properties of the inhomogeneous Drude-Lorentz model with dissipation, with M. Marletta, Journal of Differential Equations 346, Pages 313-346, DOI: https://doi.org/10.1016/j.jde.2022.11.052, 2023.
On the spectral instability for weak intermediate triharmonic problems, Math. Methods Appl. Sci. 45, no. 10, 5864-5891, doi:10.1002/mma.8144 , 2022.
On a Babuška paradox for polyharmonic operators: spectral stability and boundary homogenization for intermediate problems , with P.D. Lamberti, Integral Equations Operator Theory, no. 6, Paper No. 55, 42 pp., https://doi.org/10.1007/s00020-019-2552-0, 2019.
Boundary homogenization for a triharmonic intermediate problem, with J.M. Arrieta, P.D. Lamberti, Math. Methods Appl. Sci. 41, no. 3, 979–985, doi: 10.1002/mma.4025, 2018.
Spectral analysis of the biharmonic operator subject to Neumann boundary conditions on dumbbell domains, with J.M. Arrieta, P.D. Lamberti, Integral Equations Operator Theory 89, no. 3, 377–408, https://doi.org/10.1007/s00020-017-2391-9, 2017.
Singular perturbation Dirichlet problem in a double-periodic perforated plane, with J. Taskinen, Ann. Univ. Ferrara Sez. VII Sci. Mat. 61, no. 2, 277–290, https://doi.org/10.1007/s11565-014-0222-3, 2015.
Articles in the context of the European Project ECS 00000038 - NRRP MISSION 4 COMPONENT 2 - Spoke 06
Optimal control of monomers and oligomers degradation in an Alzheimer's disease model, with I.M. Bulai and F. Gladiali, Journal of Mathematical Biology 91(3), Paper No. 27, pp.29, https://doi.org/10.1007/s00285-025-02256-3, 2025.
On the spectral stability of polyharmonic operators on singularly perturbed domains, PhD thesis, 2018, available at University of Padua's research archive
Singular perturbation problems for a class of partial differential equations in a double-periodic perforated plane, MSc thesis, 2014
L’ equazione del p-laplaciano: un problema non lineare agli autovalori [The p-Laplace equation: a non-linear eigenvalue problem], BSc thesis, 2012