Full Professor, Dipartimento di Scienze Matematiche, Politecnico di Torino

Email: paolo.tilli AT polito.it

Available papers (23):

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• L. Tentarelli - P. Tilli (J. Differential Equations)
  An existence result for dissipative nonhomogeneous hyperbolic equations via a minimization approach (2019)
• P. Tilli - D. Zucco (Accepted Paper: Journal of Differential Equations)
  Optimal partitioning of an interval and applications to Sturm-Liouville eigenvalues (2019)
• P. Tilli - D. Zucco (Accepted Paper: Proc. Roy. Soc. Edinburgh Sect. A)
  Spectral partitions for Sturm-Liouville problems (2018)
• L. Tentarelli - P. Tilli (Comm. Partial Differential Equations)
  De Giorgi's approach to hyperbolic Cauchy problems: the case of nonhomogeneous equations (2018)
• P. Tilli - D. Zucco (SIAM J. Math. Anal.)
  Where Best to Place a Dirichlet Condition in an Anisotropic Membrane? (2015)
• P. Tilli - D. Zucco (SIAM J. Math. Anal.)
  Asymptotics of the first Laplace eigenvalue with Dirichlet regions of prescribed length (2013)
• C. Canuto - F. Fagnani - P. Tilli (SIAM J. Control Optim.)
  An Eulerian approach to the analysis of Krause's consensus models (2012)
• E. Serra - P. Tilli (Annals of Mathematics)
  Nonlinear wave equations as limits of convex minimization problems: proof of a conjecture by De Giorgi (2012)
• P. Tilli (Netw. Heterog. Media)
  Compliance estimates for two-dimensional problems with Dirichlet region of prescribed length (2012)
• E. Serra - P. Tilli (Ann. Inst. H. Poincaré Anal. Non Linéaire)
  Monotonicity constraints and supercritical Neumann problems (2011)
• P. Tilli (J. Convex Anal.)
  Some explicit examples of minimizers for the irrigation problem (2010)
• P. Tilli (Trans. Amer. Math. Soc.)
  Isoperimetric inequalities for convex hulls and related questions (2010)
• C. Canuto - F. Fagnani - P. Tilli (Accepted Paper: Proceedings of the IFAC World Congress 2008)
  A Eulerian Approach to the Analysis of Rendez-Vous Algorithms (2008)
• P. Tilli (Preprint)
  Some explicit examples of minimizers for the irrigation problem (2008)
• P. Tilli (Accepted Paper: Transactions of the American Mathematical Society)
  Isoperimetric inequalitites for convex hulls and related questions (2007)
• G. P. Leonardi - P. Tilli (J. Math. Pures Appl.)
  On a constrained variational problem in the vector-valued case (2006)
• G. Scianna - P. Tilli (Communications in Partial Differential Equations)
  A variational approach to the Hele--Shaw flow with injection (2005)
• F. Santambrogio - P. Tilli (J. Geom. Anal.)
  Blow-up of Optimal Sets in the Irrigation Problem (2005)
• S. J. N. Mosconi - P. Tilli (Accepted Paper)
  $\Gamma$-convergence for the irrigation problem (2003)
• E. Stepanov - P. Tilli (Proc. Royal Soc. Edinburgh - Ser. A. (Mathematics))
  On the Dirichlet problem with several volume constraints on the level sets (2002)
• S. J. N. Mosconi - P. Tilli (Calculus of Variations)
  Variational problems with several volume constraints on the level sets (2001)
• C. De Lellis - C. R. Grisanti - P. Tilli (Annali di Matematica Pura ed Applicata)
  Regular selection for multiple valued functions (2000)
• P. Tilli (Interfaces and Free Boundaries)
  On a Constrained Variational Problem with an Arbitrary Number of Free Boundaries (1998)

Seminars:

• 2 mar 2016: "Ground states per energie tipo NLS su grafi metrici"
• 16 mar 2011: Equazioni delle onde non lineari come limite di problemi convessi: una congettura di De Giorgi
• 19 sep 2001: Alcuni problemi di ottimizzazione con frontiere libere e vincoli di volume
• 1 feb 2001: Evoluzione di insiemi secondo l'equazione di Hele-Shaw: un approccio basato sui movimenti minimizzanti

Speaker:

• 9 jun 2025 - 13 jun 2025: Analytical Methods in Quantum and Classical Mechanics
• 31 jan 2024 - 2 feb 2024: Calculus of Variations in Siena

Organizer:

• 15 sep 2016 - 16 sep 2016: Recent trends in the analysis of spectral problems and applications