Seminari di equazioni differenziali e applicazioni: A variational approach to isoperimetric inequalities with quantitative terms

Mercoledì 10 Aprile 2013 ore 12:30 - Aula 2BC30 - Gian Paolo Leonardi


Mercoledì 10 Aprile 2013 alle ore 12:30 esatte in aula 2BC30, Gian Paolo Leonardi (Università di Modena) terrà un seminario dal titolo "A variational approach to isoperimetric inequalities with quantitative terms".

The issue of quantifying stability in the isoperimetric inequality has attracted the interest of mathematicians since the beginning of the last century. Even though several problems still remain unsolved, there have been some remarkable achievements in the very last years, obtained via several techniques like symmetrization and optimal mass transport. I will present a third technique, that is, a variational method called "Selection Principle" which can be successfully applied to the study of quantitative isoperimetric-type inequalities. The method is based on a penalization argument combined with the regularity theory for quasiminimizers of the perimeter. Some applications of the method will be presented.

Rif. Int. M. Bardi, C. Marchi, D. Vittone.

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