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Critical points and extremals of the Moser-Trudinger inequality in two dimension


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.
http://cvgmt.sns.it/seminar/573/
When
Thu Feb 16, 2017 4pm – 5pm Coordinated Universal Time
Where
Scuola Normale Superiore, Aula Tonelli (map)