Breadcrumb
Isoperimetric inequalities and free discontinuity problems
Mon 07 January 2013, 13:30
Dorin Bucur
Universite de Savoie
Organiser: Michiel van den Berg
ABSTRACT
The isoperimetric inequality for the first eigenvalue of the Laplace operator with Robin boundary conditions was recently proved by Daners in the context of Lipschitz sets. This talk introduces a new approach to attack this type of isoperimetric inequalities and is based on recent advances on the regularity theory for general free discontinuity problems. As a consequence, we not only extend isoperimetric inequalities to arbitrary sets, but also obtain a range of new ones.