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Seminario di equzioni differenziali e applicazioni: “Regularity and rigidity results for nonlocal minimal graphs”

Lunedì 26 Novembre 2018, ore 12:30 - Aula 2AB40 - Matteo Cozzi

ARGOMENTI: Seminars

Lunedì 26 Novembre 2018 alle ore 12:30 in Aula 2AB40, Matteo Cozzi (University of Bath, UK) terrà un seminario dal titolo “Regularity and rigidity results for nonlocal minimal graphs”.

Abstract
Nonlocal minimal surfaces are hypersurfaces of Euclidean space that minimize the fractional perimeter, a geometric functional introduced in 2010 by Caffarelli, Roquejoffre & Savin in connection with phase transition problems displaying long-range interactions.
In this talk, I will introduce these objects, describe the most important progresses made so far in their analysis, and discuss the most challenging open questions.
I will then focus on the particular case of nonlocal minimal graphs and present some recent results obtained on their regularity and classification in collaboration with X. Cabré (ICREA & UPC Barcelona), A. Farina (Université de Picardie), and L. Lombardini (Università di Milano).

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