Preprints

1. B. Brandolini, I. De Bonis, V. Ferone, G. Piscitelli, B. Volzone. First Eigenvalue and Torsional Rigiditiy: Isoperimetric Inequalities for the Fractional Laplacian. Preprint (2025), 1-24. Arχiv 

2. G. Piscitelli. Symmetry results for a nonlocal nonlinear Poincaré-Wirtinger inequality. Z. Anal. Anwend. (in press), 1-19. Arχiv.

Papers

3. A. Tamburrino, A. Corbo Esposito, G. Piscitelli. Monotonicity of the Laplace Transform for Tomography in dissipative systems. Inverse Problems 42.3.035001 (2026), 1-16. Arχiv.

4. G. Piscitelli. On the second anisotropic Cheeger constant and related questions. J. Convex Anal. 33.1&2 (2026), 303-324. Arχiv.

5. S. Cito, G. Paoli, G. Piscitelli. A stability result for the first Robin-Neumann eigenvalue: A double perturbation approach. Comm. Cont. Math. 27.06.2450039 (2025), 1-35. Arχiv.

6. V. Mottola, A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino. The inverse obstacle problem for nonlinear inclusions. Inverse Problems 41.055002 (2025), 1-44. Arχiv.

7. N. Gavitone, G. Piscitelli. A sharp bound for the first Robin-Dirichlet eigenvalue. J. Optim. Theory Appl. 203 (2024), 745-766. Arχiv.

8. V. Ferone, G. Piscitelli, B. Volzone. Symmetrization results for general nonlocal linear ellipitic and parabolic problems. J. Math. Pures Appl. 190.103597 (2024), 1-35. Arχiv.

9. R. Barbato, F. Della Pietra, G. Piscitelli. On the first Robin eigenvalue of the Finsler p-Laplace operator as p → 1. J. Math. Anal. Appl. 540.128660 (2024), 1-25. Arχiv.

10. A. Corbo Esposito, L. Faella, V. Mottola, G. Piscitelli, R. Prakash, A. Tamburrino. Piecewise Nonlinear Materials and Monotonicity Principle. Inverse Problems 40.085001 (2024), 1-31. Arχiv.

11. N. Gavitone, G. Piscitelli. A Monotonicity result for the first Steklov-Dirichlet Laplacian eigenvalue. Rev. Math. Complut. 37 (2024), 509-523. Arχiv.

12. V. Mottola, A. Corbo Esposito, G. Piscitelli, A. Tamburrino. Tomography of nonlinear materials via Monotonicity Principle. Int. J. Appl. Electromag. Mech. 74.4 (2024), 307-312. Arχiv.

13. A. Corbo Esposito, L. Faella, V. Mottola, G. Piscitelli, R. Prakash, A. Tamburrino. The p0-Laplace “Signature” for quasilinear Inverse Problems. Siam J. Imaging Sci. 17.1 (2024), 351-388. Arχiv.

14. V. Mottola, A. Corbo Esposito, G. Piscitelli, A. Tamburrino. Imaging of nonlinear materials via the Monotonicity Principle. Inverse Problems 40.035007 (2024), 1-27. Arχiv.

15. A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino. The p-Laplace “Signature” for quasilinear Inverse Problems with large boundary data. Siam J. Math. Anal. 56.1 (2024), 275-303. Arχiv.

16. F. Della Pietra, G. Piscitelli. Sharp estimates for the first Robin eigenvalue of nonlinear elliptic operators. J. Differential Equations 386 (2024), 269-293. Arχiv. 

17. N. Gavitone, G. Paoli, G. Piscitelli, R. Sannipoli. An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole. Pacific J. Math. 320.2 (2022), 241-259. Arχiv.

18. A. Corbo Esposito, G. Piscitelli. The pseudo-orthogonality for graph 1-Laplacian eigenvectors and applications to Higher Cheeger Constants and Data Clustering. Front. Math. China 17.4 (2022), 591-623. Arχiv.

19. A. Tamburrino, G. Piscitelli, Z. Zhou. The Monotonicity Principle for Magnetic Induction Tomography. Inverse Problems 37.095003 (2021), 1-20. Arχiv.

20. A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino. Monotonicity Principle in Tomography of Nonlinear Conducting Materials. Inverse Problems 37.045012 (2021), 1-25. Arχiv.

21. G. Paoli, G. Piscitelli, R. Sannipoli. A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle. Comm. Pure Appl. Anal. 20.1 (2021), 145-158. Arχiv.

22. F. Della Pietra, G. Piscitelli. An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes. Milan J. Math. 88 (2020), 373-384. Arχiv.

23. G. Paoli, G. Piscitelli, L. Trani. Sharp estimates for the first p-Laplacian eigenvalue and for the p-torsional rigidity on convex sets with holes. ESAIM Control Optim. Calc. Var. 26.111 (2020), 1-15. Arχiv.

24. F. Della Pietra, G. Piscitelli. Saturation phenomena for some classes of nonlinear nonlocal eigenvalue problems. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 30.1 (2020), 131-150. Arχiv.

25. G. Piscitelli. The anisotropic ∞-Laplacian eigenvalue problem with Neumann boundary conditions. Differential Integral Equations 32.11-12 (2019), 705-734. Arχiv.

26. F. Della Pietra, N. Gavitone, G. Piscitelli. On the second eigenvalue of some nonlinear anisotropic elliptic operators. Bull. Sci. Math. 155 (2019), 10-32. Arχiv.

27. F. Della Pietra, N. Gavitone, G. Piscitelli. A sharp weighted anisotropic Poincare' inequality for convex domains. C. R. Acad. Sci. Paris 355.7 (2017), 748-752. Arχiv.

28. F. Della Pietra, G. Piscitelli. A saturation phenomenon for a nonlinear nonlocal eigenvalue problem. NoDEA Nonlinear Differential Equations Appl. 23.6.62 (2016), 1-18. Arχiv.

29. G. Piscitelli. A nonlocal anisotropic eigenvalue problem. Differential Integral Equations 29.11-12 (2016), 1001-1020. Arχiv.

30. G. Piscitelli. Convex symmetrization for anisotropic elliptic equation with a lower order term. Rend. Acc. Sc. fis. mat. Napoli Vol. LXXXI 2 (2014), 249-264. Arχiv.

Proceedings

31. G. Piscitelli, Z. Su, L. Udpa, A. Tamburrino. Magnetic Induction via the Monotonicity Principle. J. Phys. Conf. Ser. 2444.012005 (2023), 16pp.

32. A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino. Monotonicity Principle for Tomography in Nonlinear Conducting Materials. J. Phys. Conf. Ser. 2444.012004 (2023), 12pp.

Didactics

33. D. A. La Manna, G. Piscitelli. Precorsi di Matematica. Area Didattica Ingegneria (2020), 44 pp. ISBN: 9788890974816. Preprint.

Thesis

34. G. Piscitelli. Optimization problems for nonlinear eigenvalues. Ph.D. thesis in Mathematics and Computer Science (2017). FedOA UniNa, BDIM.

35. G. Piscitelli. Percorso didattico di base sulla meccanica quantistica. Thesis for the National Italian license as certified teacher in high schools in Mathematics, Physics and Applied Mathematics (2015).

36. G. Piscitelli. On the regularity of solutions of second order elliptic equations. Ms.D. thesis in Mathematics (2013).

37. G. Piscitelli. Sull'equazione del calore: teoremi di esistenza, unicità e regolarità. B.D. thesis in Mathematics (2010).