Giorgio Tortone
[tortone]
Post Doc., Università di Pisa
Email: tortone.giorgio AT gmail.com
Home-page: https://sites.google.com/view/giorgiotortone/
Available papers (16):
[plain text]- S. Terracini - G. Tortone - S. Vita (preprint)
A priori regularity estimates for equations degenerating on nodal sets (2024) - L. Ferreri - G. Tortone - B. Velichkov (preprint)
A capillarity one-phase Bernoulli free boundary problem (2023) - D. De Silva - G. Tortone (Calculus of Variations and Partial Differential Equations)
A vectorial problem with thin free boundary (2023) - D. Mazzoleni - G. Tortone - B. Velichkov (J. Convex Analysis)
On the dimension of the singular set in optimization problems with measure constraint (2023) - G. Tortone (preprint)
Liouville theorems and optimal regularity in elliptic equations (2022) - N. Soave - G. Tortone (preprint)
On the nodal set of solutions to some sublinear equations without homogeneity (2022) - S. Terracini - G. Tortone - S. Vita (preprint)
Higher order boundary Harnack principle via degenerate equations (2022) - G. Buttazzo - F. P. Maiale - D. Mazzoleni - G. Tortone - B. Velichkov (Arch. Rat. Mech. Anal.)
Regularity of the optimal sets for a class of integral shape functionals (2022) - F. P. Maiale - G. Tortone - B. Velichkov (Accepted Paper: Revista Matemática Iberoamericana)
Epsilon-regularity for the solutions of a free boundary system (2021) - F. P. Maiale - G. Tortone - B. Velichkov (Accepted Paper: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze)
The boundary Harnack principle on optimal domains (2021) - G. Tortone (Journal of Functional Analysis)
Regularity of shape optimizers for some spectral fractional problems (2021) - Y. Sire - S. Terracini - G. Tortone (Journal de Mathématiques Pures et Appliquées)
On the nodal set of solutions to degenerate or singular elliptic equations with an application to $s-$harmonic functions (2020) - G. Tortone (Calculus of Variations and Partial Differential Equations)
The nodal set of solutions to some nonlocal sublinear problems (2020) - D. De Silva - G. Tortone (Mathematics in Engineering)
Improvement of flatness for vector valued free boundary problems (2020) - G. Tortone - A. Zilio (Nonlinear Analysis)
Regularity results for segregated configurations involving fractional Laplacian (2019) - S. Terracini - G. Tortone - S. Vita (Analysis & PDE)
On s-harmonic functions on cones (2018)
Seminars:
- 11 nov 2020: Vectorial problems with thin free boundaries
Speaker:
- 25 sep 2024 - 27 sep 2024: Young Researchers Meeting on PDEs
- 6 mar 2024 - 7 mar 2024: CalVaFer - Calculus of Variations in Ferrara
- 3 jul 2023 - 7 jul 2023: Geometric measure theory and nonlinear PDE
- 12 feb 2018 - 16 feb 2018: Variational Methods in Analysis, Geometry and Physics
Organizer:
- 11 apr 2024 - 12 apr 2024: Calculus of Variations and Free Boundary Problems VIII
- 28 mar 2023 - 28 mar 2023: Calculus of Variations and Free Boundary Problems V