Transcript Abstract - Scuola Normale Superiore

SEMINARIO DI MATEMATICA
Giovedì 16 febbraio 2017
ore 17:00
Scuola Normale Superiore
Pisa
Aula Tonelli
Luca Martinazzi
(Università di Basilea)
terrà un seminario dal titolo:
“Critical points and extremals of the MoserTrudinger inequality in 2 dimension”
Abstract:
We shall give a new approach to the Moser-Trudinger inequality (a critical version of the Sobolev
inequality) and the existence of extremals on the unit disk in the plane. Subtly estimating the energy of
critical points of subcritical Moser-Trudinger inequalities, we will show that a suitable sequence of such
critical points does not blow up and in fact converges to an extremal of the critical Moser-Trudinger
inequality. Several open questions will be discussed.
This is a joint work with Gabriele Mancini and builds upon a previous work joint with Andrea Malchiodi.
Tutti gli interessati sono invitati a partecipare.
Classe di Scienze Matematiche e Naturali
Piazza dei Cavalieri, 7
56126 Pisa-Italy
tel: +39 050 509111
fax: +39 050 563513
13/02/2017