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Seminario: Hidden convexity in eigenvalue problems, Fisher Information and Picone-type Inequalities

Venerdì 21 Marzo 2014, ore 15:00 - Aula 2AB40 - Giovanni Franzina

ARGOMENTI: Seminari

SEMINARIO

Venerdì 21 Marzo 2014 alle ore 15:00 in aula 2AB40 della Torre Archimede il Dott. Giovanni Franzina (Friedrich-Alexander Universität Erlangen Nürnberg) terrà un seminario dal titolo "Hidden convexity in eigenvalue problems, Fisher Information and Picone-type Inequalities".

Abstract
We show that some well-known convexity principles are equivalent to a geodesic convexity of Dirichlet integrals with applications in non-linear eigenvalue problems. We survey the link with an elementary inequality named after Picone, useful to get Hardy-type inequalities and similar estimates. The results are obtained in collaboration with Lorenzo Brasco.