Preprints (5)
L. Cossetti, L. D'Arca: A unified approach to Hardy-type inequalities with Bessel pairs. (2025)
N. Arrizabalaga, L. Cossetti, M. Morales: On the point spectrum of electromagnetic Dirac operators. (2025)
M. Á. Alejo, L. Cossetti, L. Fanelli, C. Muñoz, N. Valenzuela: Error bounds for Physics Informed Neural Networks in Nonlinear Schródinger equations placed on unbounded domanis. (2025)
L. Cossetti, L. Fanelli and F. Linares: On uniqueness of solutions to the surface electromigration equation. (2023)
L. Cossetti: On solutions to the two-dimensional Zakharov-Kuznetsov equation. (2019)
Articles in Journals (12)
L. Cossetti, L. D. Krejcirik: The virial theorem and the method of multipliers in spectral theory
Mathematical Models for Interacting Dynamics on Networks (Braga 2024),
Trends in Mathematics (to appear)
L. Cossetti, L. Fanelli, D. Krejcirik: Uniform resolvent estimates and absence of eigenvalues of biharmonic operators with complex potential
J. Funct. Anal. 287 (2024) 110646
Available on Elsevier (published version)L. Cossetti, L. Fanelli, N. M. Schiavone: Recent developments in spectral theory for non-self-adjoint Hamiltonians.
B. Cassano, L. Cossetti, L. Fanelli: Improved Hardy-Rellich inequalities.
Commun. Pure Appl. Anal. 21 (2022), 3, 867-889.
Available on AIMS Press (prepublished version)B. Cassano, L. Cossetti, L. Fanelli: Spectral enclosures for the damped elastic wave equation.
Math. Eng. 4 (2021), 6, 1-10.
Available on AIMS Press (published version)L. Cossetti: Bounds on eigenvalues for perturbed Lamé operators with complex potentials.
Math. Eng. 4 (2021), 5, 1-29.
Available on AIMS Press (published version).L. Cossetti, R. Mandel: A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations.
J. Funct. Anal. 281 (2021), 11, 109233.
Available on ScienceDirect (published version).B. Cassano, L. Cossetti, L. Fanelli: Eigenvalue bounds and spectral stability of Lamé operator with complex potentials.
Journal of Differential Equations 298 (2021), 528-559.
Available on ScienceDirect (published version).L. Cossetti, L. Fanelli and D. Krejcirik: Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers.
Comm. Math. Phys. 379 (2020), 633-691.
Available on SpringerLink (published version).L. Cossetti and D. Krejcirik: Absence of eigenvalues of non-self-adjoint Robin Laplacians on half-space.
Proc. Lond. Math. Soc. 121 (2020), 584-616.
Available on LMS (published version).L. Cossetti, L. Fanelli and F. Linares: Uniqueness results for Zakharov-Kuznetsov equations.
Comm. Partial Differential Equations 44 (2019), 504-544.
Available on Taylor & Francis (published version).L. Cossetti: Uniform resolvent estimates and absence of eigenvalues for Lamé operator with complex potentials.
J. Math. Anal. Appl. 455 (2017), 336-360.
Available on ScienceDirect (published version).