Assistant Professor, RTD-B, Università di Torino

Email: giorgio.tortone AT unito.it

Home-page: https://sites.google.com/view/giorgiotortone/

Available papers (17):

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• A. Pacati - G. Tortone - B. Velichkov (preprint)
  Some remarks on singular capillary cones with free boundary (2025)
• F. P. Maiale - G. Tortone - B. Velichkov (Annali della Scuola Normale Superiore di Pisa, Classe di Scienze)
  The boundary Harnack principle on optimal domains (2024)
• S. Terracini - G. Tortone - S. Vita (preprint)
  A priori regularity estimates for equations degenerating on nodal sets (2024)
• D. Mazzoleni - G. Tortone - B. Velichkov (J. Convex Analysis: volume dedicated to Giuseppe Buttazzo on the occasion of his 70th birthday.)
  On the dimension of the singular set in optimization problems with measure constraint (2024)
• 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 (2024)
• N. Soave - G. Tortone (Arch. Rat. Mech. Anal.)
  On the nodal set of solutions to some sublinear equations without homogeneity (2024)
• S. Terracini - G. Tortone - S. Vita (Arch. Rat. Mech. Anal.)
  Higher order boundary Harnack principle via degenerate equations (2024)
• G. Tortone (Proceedings of the London Mathematical Society)
  Liouville theorems and optimal regularity in elliptic equations (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)
• F. P. Maiale - G. Tortone - B. Velichkov (Revista Matemática Iberoamericana)
  Epsilon-regularity for the solutions of a free boundary system (2023)
• 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:

• 9 jan 2025 - 10 jan 2025: Calculus of Variations and Free Boundary Problems X
• 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