Monday, 8 February 2016, 3 p.m. (sharp), Dr. Davide Zucco, University of Torino, at the conference room of IMATI-CNR in Pavia, will give a lecture titled:
ON THE GEOMETRY OF OPTIMAL SHAPES FOR SPECTRAL FUNCTIONALS
as part of the Applied Mathematics Seminar (IMATI-CNR e Dipartimento di Matematica, Pavia).
At the end a refreshment will be organized.
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
Pagina web del Seminario di Matematica Applicata: