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SUMMARY:Isoperimetric inequalities and free discontinuity problems - Bucur
 \, D (Universit de Savoie)
DTSTART:20140625T142000Z
DTEND:20140625T145000Z
UID:TALK53156@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The Faber-Krahn inequality for the first eigenvalue of the Lap
 lace operator with Robin boundary conditions was recently proved by D. Dan
 ers in the context of Lipschitz sets. This talk introduces a new approach 
 to deal with this type of isoperimetric inequalities and is based on recen
 t advances on the regularity theory for general free discontinuity problem
 s\, in particular on a new monotonicity formula jointly obtained with S. L
 uckhaus. As a consequence\, we not only extend isoperimetric inequalities 
 to arbitrary sets\, but also obtain a range of new ones (joint work with A
 . Giacomini).\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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