Preprints

[30] 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 

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

Papers

[28] 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.

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

[26] 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.

[25] 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.

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

[23] 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.

[22] 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.

[21] 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.

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

[19] 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.

[18] 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.

[17] 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.

[16] 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.

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

[14] 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.

[13] 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.

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

[11] 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.

[10] 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.

[9] 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.

[8] 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.

[7] 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.

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

[5] 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.

[4] 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.

[3] 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.

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

[1] 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.


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