On the geometry of optimal shapes for spectral functionals
Dr. Davide Zucco, University of Turin
Sala conferenze IMATI-CNR - Monday, February 8, 2016 h.15:00
Abstract. I will discuss some geometrical properties of optimal shapes for
spectral functionals. In particular I will show that, by purely elementary
arguments, based on the minimality condition, it is possible to obtain
informations on the geometry of the minimizers of convex combinations
of the lowest eigenvalues of the Dirichlet-Laplacian, and to recover some
known results on the boundary of the attainable set for the Dirichlet
spectrum.
Dipartimento di Matematica ''F. Casorati''
Università degli Studi di Pavia -
Via Ferrata, 5 - 27100 Pavia
Tel +39.0382.985600 - Fax +39.0382.985602