CORDIS Project
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This project explores geometric and functional inequalities, particularly focusing on optimal sets and constants. It aims to answer longstanding questions in mathematics using advanced techniques from symmetrization and mass transportation.
The analysis of geometric and functional inequalities naturally leads to consider the extremal cases, thuslooking for optimal sets, or optimal functions, or optimal constants.
The most classical examples are the (different versions of the) isoperimetric inequality and the Sobolev-like inequalities.
Much is known about equality cases and best constants, but there are still many questions which seem quite natural but yet have no answer.
For instance, it is not known, even in the 2-dimensional spac…
FRIEDRICH-ALEXANDER-UNIVERSITAET ERLANGEN-NUERNBERG
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