PI of the GNAMPA project 2026: "Functional and spectral analysis for differential operators"
Mathematical modelling of the time-evolution of Alzheimer disease
Spectral geometry for Maxwell in unbounded domains
Thin domain analysis (also in the Riemannian setting) for systems of PDEs
Hypocoercivity, semigroups, and the linearised Navier-Stokes system
Steklov-type problems for polyharmonic operators and related elliptic systems
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 note on Maxwell's eigenvalues on thin sets, with L. Provenzano, accepted for publication in Proceedings of the Royal Society of Edinburgh Section A, 24pp., 2026. ArXiv version.
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.
A model for the diffusion of Aβ-amyloids in the brain: existence, uniqueness, and qualitative analysis, with F. Gladiali, accepted for publication in the Journal of Mathematical Analysis and Applications, 33pp., 2026.
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