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Isoperimetric inequalities on RN with respect to homogeneous weights

Presented by: 
Friedemann Brock Swansea University
Wednesday 23rd January 2019 - 15:00 to 16:00
INI Seminar Room 2
We solve a class of isoperimetric problems in the whole spacewith respect to monomial weights.  Our results imply that the optimizers  in some Caffarelli-Kohn-Nirenberg inequalities are radial. Further, they are used to obtain sharp apriori-bounds for solutions to some weighted elliptic BVPs.  \\ This is joint work with A. Alvino, F. Chiacchio and M.R. Posteraro (Napoli). 

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons