CORDIS Project
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This project focuses on developing sharp quantitative versions of various geometric-functional inequalities, including the Faber-Krahn and Gaussian isoperimetric inequalities. By employing advanced mathematical techniques, it aims to enhance understanding of these inequalities and their applications in geometry and ana…
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…
UNIVERSITA DEGLI STUDI DI NAPOLI FEDERICO II
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