Here below you can find the list of my papers which are published or submitted for publication. You can find the preprint version of some of them on arxiv. If you are not able to access a paper of mine please write me an email and I will be happy to send you a preprint copy. 

Publications in journals:

1. M. Dalla Riva, P. L, R. Molinarolo, P. Musolino, Multi-parameter perturbations for the space-periodic heat equation, to appear on Commun. Pure Appl. Anal. (2023).

2.  P.L., A mapping property of the volume heat potential. To appear on Boll. Unione Mat. Ital. (2023). (preprint)

3. R. Bramati, M. Dalla Riva, P. Luzzini and P. Musolino. The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation,  Adv. Differential Equations 29 (2024), no. 1-2, 27–68. (preprint)

4. M. Dalla Riva, P.L., Dependence of the layer heat potentials upon support perturbations. Differential Integral Equations 36 (2023), no. 11-12, 971–1003. (preprint)

5. D. Buoso, P.L., L. Provenzano, and J. Stubbe, Semiclassical estimates for eigenvalue means of Laplacians on spheres. J. Geom. Anal. 33 (2023), no. 9, Paper No. 280, 51 pp. (preprint)

6. M. Dalla Riva, P.L., and P. Musolino, Singular behavior for a multi-parameter Dirichlet problem. Asymptot. Anal. 134 (2023), no. 1-2, 193–212. (preprint)

7. P.L., L. Provenzano, and J. Stubbe, The first Grushin eigenvalue on cartesian product domains. To appear on Adv. Calc. Var (2023). (preprint)

8. M. Dalla Riva, P.L., and P. Musolino, Shape analyticity and singular perturbations for layer potential operators. ESAIM Math. Model. Numer. Anal. 56 (2022), no. 6, 1889–1910. (preprint)

9. P.L., M. Zaccaron, A few results on permittivity variatiations in electromagnetic cavities.  J. Differential Equations 334 (2022), 342–367. (preprint)

10. M. Dalla Riva, P.L., and P. Musolino, Multi-parameter analysis of the obstacle scattering problem.  Inverse Problems 38 (2022), no. 5, Paper No. 055004, 17 pp. (preprint)

11. D. Buoso, P.L., L. Provenzano, and  J. Stubbe, On the spectral asymptotics for the Buckling problem. J. Math. Phys. 62 (2021), no. 12, Paper No. 121501. (preprint)

12. P.D. Lamberti, P.L, and P. Musolino, Shape perturbation of Grushin eigenvalues.  J. Geom. Anal.,  31 (2021), no. 11, 10679--10717. (preprint)

13. R. Falconi, P.L., and P. Musolino, Asymptotic behavior of integral functionals for a two-parameter singularly perturbed nonlinear traction problem.  Math. Methods Appl. Sci., 44 (2020), 2111–2129.

14. P. L. and P. Musolino, Perturbation analysis of the effective conductivity of a periodic composite. Netw. Heterog. Media, 15 (2020), no. 4, 581–603.

15. P. L.,  Regularizing properties of space-periodic layer heat potentials and applications to boundary value problems in periodic domains.  Math. Methods Appl. Sci., 43 (2020), 5273–5294.

16. P. L., P. Musolino, and R. Pukhtaievych, Shape analysis of the longitudinal flow along a periodic array of cylinders. J. Math. Anal. Appl., 477 (2019), no. 2, 1369–1395.

17. M. Lanza de Cristoforis  and  P. L., Tangential derivatives and higher order regularizing properties of the double layer heat potential. Analysis (Berlin), 38 (2018), no. 4, 167–193.

18. M. Lanza de Cristoforis and  P. L., Time dependent boundary norm for kernels and regularizing properties of the double layer heat potential. Eurasian Math. J. 8 (2017), no. 1, 76–118.

Publications in books and proceedings:

1. M. Dalla Riva, P.L., and P. Musolino,  A perturbation result for a Neumann problem in a periodic domain.  In Analysis, Applications, and Computations - Selected contributions of the 13th ISAAC Congress, Ghent, Belgium, 2021. Research Perspectives, pages 271-282, Birkhäuser, Cham, 2023.

2. M. Dalla Riva, P.L., P. Musolino, and R. Pukhtaievych, Dependence of effective properties upon regular perturbations.  In I. Andrianov, S. Gluzman, V. Mityushev, Editors, Mechanics and Physics of Structured Media.  pages 271–301, Elsevier, 2022.

3. P. L. and P. Musolino, Domain perturbation for the solution of a periodic Dirichlet problem.  In P. Cerejeiras, M. Reissig. I. Sabadini, J. Toft, Editors, Current Trends in Analysis, its Applications and Computation, Proceedings of the 12th ISAAC congress (Aveiro, 2019). Trends in Mathematics. Research Perspectives, pages 181-189, Birkhäuser, Cham, 2022.

4. P. L., P. Musolino, and R. Pukhtaievyc, Real analyticity of periodic layer potentials upon perturbation of the periodicity parameters and of the support. In P. Cerejeiras, M. Reissig. I. Sabadini, J. Toft, Editors, Current Trends in Analysis, its Applications and Computation, Proceedings of the 12th ISAAC congress (Aveiro, 2019). Trends in Mathematics. Research Perspectives, pages 191-199, Birkhäuser, Cham, 2022.

5. P. L. and P. Musolino, Periodic transmission problems for the heat equation. In C. Constanda and P.J. Harris, editors, Integral Methods in Science and Engineering, Analytic Treatment and Numerical Approximations, Proceedings of the 15th International Conference on Integral Methods in Science and Engineering, IMSE 2018, Brighton, UK, 16-20 July 2018, p. 211–223, Birkhäuser Verlag, Basel, 2019.

Submitted Papers:

1. P.D. Lamberti, P. L. and M. Zaccaron, Permittivity optimization for Maxwell's eigenvalues. Submitted (2023).

Other publications: 

1. P. L. Regular domain perturbation problems, Seminario Dottorato 2018/19, Università degli Studi di Padova, 31--42.