Regularity and geometric aspects of nonlinear PDEs

31 Jan 2024 - 2 Feb 2024
Aula Magna of the Department of Mathematics
University of Pisa


Registration is free, but mandatory for all the participants.

Please, fill
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Nicola Abatangelo (Università di Bologna)

Stefano Biagi (Politecnico di Milano)

Denis Bonheure (Université libre de Bruxelles)

Cristiana De Filippis (Università di Parma)

Azahara DelaTorre (Università di Roma La Sapienza)

Isabella Ianni (Università di Roma La Sapienza)

Idriss Mazari-Fouquer (Université Paris Dauphine)

Matteo Muratori (Politecnico di Milano)

Roberto Ognibene (Università di Pisa)

Chiara Saffirio (University of Basel)

Hugo Tavares (Instituto Superior Técnico Lisbona)

Daniele Valtorta (Università di Milano-Bicocca)

Stefano Vita (Università di Torino)


Wednesday 31 January

14:30-15:30   Cristiana De Filippis

Nonlinear potentials at the fractional scale: sharp regularity

15:30-16:30   Daniele Valtorta

Energy identity for stationary harmonic maps

17:00-18:00   Stefano Vita

Degenerate equations on nodal sets

18:00-19:00   Roberto Ognibene

Free boundary regularity in an optimal partition problem

Thursday 1 February

09:30-10:30   Chiara Saffirio

Uniqueness criteria for the Vlasov-Poisson system
and applications to semiclassical problems

11:00-12:00   Hugo Tavares

Classification and stability of positive solutions to the NLS equation on some particular metric graph

12:00-13:00   Idriss Mazari-Fouquer

The Faber-Krahn inequality for the Stokes operator

15:00-16:00   Matteo Muratori

Rigidity results for the Lane-Emden equation on Cartan-Hadamard manifolds

16:00-17:00   Stefano Biagi

A Brezis-Nirenberg type result for mixed local and nonlocal operators

17:30-18:30   Azahara De La Torre

Uniqueness of least-energy solutions to the fractional Lane-Emden equation in the ball

Friday 2 February

09:30-10:30   Isabella Ianni

Uniqueness and nondegeneracy for fractional Dirichlet problems

11:00-12:00   Nicola Abatangelo

An elliptic boundary value problem with fractional nonlinearity

12:00-13:00   Denis Bonheure

An overview on the Born-Infeld equation


Book of abstracts


PRIN 2022 NO3 - Nodal optimization, nonlinear elliptic equations, nonlocal geometric problems, with a focus on regularity

ERC VaReg (European Union - Horizon 2020)

Scientific committee: Eleonora Cinti , Alessandro Iacopetti, Dario Mazzoleni
Benedetta Noris, Nicola Soave, and Bozhidar Velichkov