Analytic Techniques for Geometric and Functional Inequalities

Project Information

ANTEGEFI

Grant agreement ID: 226234

Project closed

Start date 1 January 2009

End date 31 December 2013

Funded under

• Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Total cost € 600 000,00

EU contribution € 600 000,00

Coordinated by

UNIVERSITA DEGLI STUDI DI NAPOLI FEDERICO II
Italy

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.

Fields of science

• natural sciences › mathematics › pure mathematics › arithmetics › logarithmic functions

Keywords

• Isoperimetric inequalities
• Mass Transportation
• Sobolev inequalities
• Symmetrization

Programme(s)

• FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Topic(s)

• ERC-AG-PE1 - ERC Advanced Grant - Mathematical foundations

Call for proposal

ERC-2008-AdG
See other projects for this call

Funding Scheme

ERC-AG - ERC Advanced Grant

Host institution

UNIVERSITA DEGLI STUDI DI NAPOLI FEDERICO II

• EU contribution: € 540 000,00
• Address: CORSO UMBERTO I, 40 ; 80138 Napoli ; Italy
• Region: Sud › Campania › Napoli
• Activity type: Higher or Secondary Education Establishments
• Principal investigator: Nicola Fusco (Prof.)
• Administrative Contact: Immacolata Diez (Dr.)
• Total cost: No data

Beneficiaries (3)

UNIVERSITA DEGLI STUDI DI NAPOLI FEDERICO II

Italy

• EU contribution: € 540 000,00
• Address: CORSO UMBERTO I, 40 ; 80138 Napoli
• Region: Sud › Campania › Napoli
• Activity type: Higher or Secondary Education Establishments
• Principal investigator: Nicola Fusco (Prof.)
• Administrative Contact: Immacolata Diez (Dr.)
• Total cost: No data

UNIVERSITA DEGLI STUDI DI FIRENZE

Italy

• EU contribution: € 30 000,00
• Address: Piazza San Marco 4 ; 50121 Florence
• Region: Centro (IT) › Toscana › Firenze
• Activity type: Higher or Secondary Education Establishments
• Administrative Contact: Patrizia Cecchi (Dr.)
• Total cost: No data

UNIVERSITA DEGLI STUDI DI PAVIA

Italy

• EU contribution: € 30 000,00
• Address: STRADA NUOVA 65 ; 27100 Pavia
• Region: Nord-Ovest › Lombardia › Pavia
• Activity type: Higher or Secondary Education Establishments
• Administrative Contact: Simona Albini (Dr.)
• Total cost: No data