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Analytic Techniques for Geometric and Functional Inequalities

Objective

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.

Field of science

  • /natural sciences/mathematics/pure mathematics/arithmetic/logarithm

Call for proposal

ERC-2008-AdG
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Funding Scheme

ERC-AG - ERC Advanced Grant

Host institution

UNIVERSITA DEGLI STUDI DI NAPOLI FEDERICO II
Address
Corso Umberto I, 40
80138 Napoli
Italy
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 540 000
Principal investigator
Nicola Fusco (Prof.)
Administrative Contact
Immacolata Diez (Dr.)

Beneficiaries (3)

UNIVERSITA DEGLI STUDI DI NAPOLI FEDERICO II
Italy
EU contribution
€ 540 000
Address
Corso Umberto I, 40
80138 Napoli
Activity type
Higher or Secondary Education Establishments
Principal investigator
Nicola Fusco (Prof.)
Administrative Contact
Immacolata Diez (Dr.)
UNIVERSITA DEGLI STUDI DI FIRENZE
Italy
EU contribution
€ 30 000
Address
Piazza San Marco 4
50121 Florence
Activity type
Higher or Secondary Education Establishments
Administrative Contact
Patrizia Cecchi (Dr.)
UNIVERSITA DEGLI STUDI DI PAVIA
Italy
EU contribution
€ 30 000
Address
Strada Nuova 65
27100 Pavia
Activity type
Higher or Secondary Education Establishments
Administrative Contact
Simona Albini (Dr.)