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Seminario di Equazioni Differenziali e Applicazioni: “Remark on a Sobolev type inequality in the unit ball”

Lunedì 26 Marzo 2018, ore 14:30 - Aula 2BC30 - Norisuke Ioku

ARGOMENTI: Seminari

Lunedì 26 Marzo 2018 alle ore 14:30 in Aula 2BC30, Norisuke Ioku (Ehime University, Giappone) terrà un seminario dal titolo “Remark on a Sobolev type inequality in the unit ball”.

Abstract
It is well known that the sharp constant of the Sobolev inequality in the whole space is attained by the Talenti function, but not in bounded domains since a scale invariance is breaking. In this talk, we introduce a scale invariant form of the Sobolev inequality in the unit ball, and show that the sharp constant is attained by a Talenti like function.

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