Transcript Seminario di Analisi - Dipartimento di Matematica e Applicazioni

Seminario di Analisi
Dipartimento di Matematica e Applicazioni
“Renato Caccioppoli”
Università degli Studi di Napoli Federico II
Mercoledı̀ 26 Ottobre 2016 – Sala Professori I Livello, h. 15.30
S UNRA M OSCONI
A SYMPTOTICS FOR OPTIMIZERS IN FRACTIONAL S OBOLEV TYPE INEQUALITY
A BSTRACT. The problem we will discuss is to determine the explicit form of the optimizers in fractional Sobolev and Hardy–Sobolev inequalities (the so called Aubin–Talenti
functions).
Except in the Hilbertian case, their analytic expression is only conjectured. We will
present the problem, discussing possible strategies to attack it, and describing partial
results on the asymptotic behavior of the minimizers.
D IPARTIMENTO DI M ATEMATICA – U NIVERSIT À DI C ATANIA
E-mail address: [email protected]