Papers

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

  2. A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino. Monotonicity Principle in Tomography of Nonlinear Conducting Materials. Inverse Problems 37.045012 (2021), 25pp. ArXiv.

  3. 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. ArXiv.

  4. 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. ArXiv.

  5. 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), 15 pp. ArXiv.

  6. 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. ArXiv.

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

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

  9. 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. ArXiv.

  10. F. Della Pietra, G. Piscitelli. A saturation phenomenon for a nonlinear nonlocal eigenvalue problem. NoDEA Nonlinear Differential Equations Appl. 23.6.62 (2016), 18 pp. ArXiv.

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

  12. 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. ArXiv.

  13. Preprints

  14. F. Della Pietra, G. Piscitelli. Sharp estimates for the first Robin eigenvalue of nonlinear elliptic operators. ArXiv.

  15. A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino. The p-Laplace "signature" for quasilinear electrical conductivity problems. Preprint.

  16. N. Gavitone, G. Piscitelli. A Monotonicity result for the first Steklov-Dirichlet Laplacian eigenvalue. ArXiv.

  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. (in press). ArXiv.

  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 (in press). ArXiv.

  19. Proceedings

  20. G. Piscitelli, Z. Su, L. Udpa, A. Tamburrino. Magnetic Induction via the Monotonicity Principle. J. Phys. Conf. Ser. (in press). Preprint.

  21. A. Corbo Esposito, L. Faella, G. Piscitelli, R. Prakash, A. Tamburrino. Monotonicity Principle for Tomography in Nonlinear Conducting Materials. J. Phys. Conf. Ser. (in press). Preprint.

  22. Didactics

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

  24. Thesis

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

  26. 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).

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

  28. G. Piscitelli. Sull'equazione del calore: teoremi di esistenza, unicita' e regolarita'. B.D. thesis in Mathematics (2010).