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Tuesday March 20, 2018 (2.00 pm, Sala di Rappresentanza)

Norisuke Ioku
(Ehime University)

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.


Click here to download the poster of the seminar