This is the old version of the CRM site. Please use the new site on the page crmdegiorgi.sns.it

Asymptotics for Nonlinear Geometric PDEs

On isoperimetric profiles for the first nontrivial Neumann and Steklov eigenvalues in Riemannian manifolds

speaker: Tobia Weth

abstract: We consider the geometric variational problems of maximizing the first nontrivial Neumann and Steklov eigenvalues of the Laplace-Beltrami operator among subdomains of a Riemannian manifold under a fixed volume constraint. We will mainly be concerned with the corresponding local isoperimetric (or, more precisely, isochoric) profiles. As a corollary of our analysis, we deduce local isoperimetric comparison principles depending only on the scalar curvature.

timetable:
Wed 5 Nov, 9:30 - 10:20, Aula Dini
<< Go back