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Contenuto archiviato il 2024-06-18

Analytic Techniques for Geometric and Functional Inequalities

Obiettivo

Isoperimetric and Sobolev inequalities are the best known examples of geometric-functional inequalities. In recent years the PI and collaborators have obtained new and sharp quantitative versions of these and other important related inequalities. These results have been obtained by the combined use of classical symmetrization methods, new tools coming from mass transportation theory, deep geometric measure tools and ad hoc symmetrizations. The objective of this project is to further develop thes techniques in order to get: sharp quantitative versions of Faber-Krahn inequality, Gaussian isoperimetric inequality, Brunn-Minkowski inequality, Poincaré and Sobolev logarithm inequalities; sharp decay rates for the quantitative Sobolev inequalities and Polya-Szegö inequality.

Invito a presentare proposte

ERC-2008-AdG
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Meccanismo di finanziamento

ERC-AG - ERC Advanced Grant

Istituzione ospitante

UNIVERSITA DEGLI STUDI DI NAPOLI FEDERICO II
Contributo UE
€ 540 000,00
Indirizzo
CORSO UMBERTO I, 40
80138 Napoli
Italia

Mostra sulla mappa

Regione
Sud Campania Napoli
Tipo di attività
Higher or Secondary Education Establishments
Ricercatore principale
Nicola Fusco (Prof.)
Contatto amministrativo
Immacolata Diez (Dr.)
Collegamenti
Costo totale
Nessun dato

Beneficiari (3)