Asymptotics for Nonlinear Geometric PDEs
timetable:
Wed 5 Nov, 9:30 - 10:20, Aula Dini
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On isoperimetric profiles for the first nontrivial Neumann and Steklov eigenvalues in Riemannian manifolds
speaker: Tobia Wethabstract: 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
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