ICTP Math Associates Seminar (Zoom Meeting) - Thursday 18 February at 14:00 (Leandro da Freitas Pessoa)

[Leandro de Freitas Pessoa UFPI]

Dear friends,

Just a little correction. My name is Leandro de Freitas Pessoa, not ''da
Freitas''. Anyway, in the articles I write Leandro F. Pessoa.

best regards,

Leandro

Em ter., 9 de fev. de 2021 às 10:24, ICTP Math Section <math at ictp.it>
escreveu:

> ICTP Math Associates Seminar
>
>
> Thursday 18 February, at 14:00, Central European Time
>
>
>
> Please register in advance for this meeting:
> https://zoom.us/meeting/register/tJEofumvpzIiEtEhIVjOZtFbunjZOcsg-_bP
>
> After registering, you will receive a confirmation email containing
> information about joining the meeting.
>
>
>
>
> Speaker: Leandro da Freitas Pessoa (UFPI)
>
>
> Title:  Detecting the completeness of a Finsler manifold via potential
> theory for its infinity Laplacian
>
>
> Abstract: In this talk we will present some potential-theoretic aspects of
> the eikonal and infinity Laplace operator on a Finsler manifold M. Our main
> result shows that the forward completeness of M can be detected in terms of
> Liouville properties and maximum principles at infinity for subsolutions of
> suitable in homogeneous inequalities. Also, an ∞-capacity criterion and a
> viscosity version of Ekeland principle are proved to be equivalent to the
> forward completeness of M. Part of the proof hinges on a new
> boundary-to-interior Lipschitz estimate for solutions of an inhomogeneous
> equation for the infinity Laplacian on compact sets, that implies a uniform
> Lipschitz estimate for certain entire, bounded solutions without requiring
> the completeness of M.
>
>