Seminari del Dipartimento
Analisi Critical domains for the first nonzero Neumann eigenvalue in Riemannian manifolds
Mouhamed Moustapha Fall 18-09-2018 - 15:00 Largo San Leonardo Murialdo,1 - Pal.C - Aula 311
We will discuss the first order optimality condition for the first nonzero Neumann eigenvalue in Riemannian manifolds, as set dependent functional. We then consider the shapes of domains maximizing the first nonzero Neumann eigenvalue on cylindrical manifolds, under small and large volume constraints. A rigidity result related to an overdetermined problem arising from the Hadamard formula for this eigenvalue will be also presented. Joint work with Tobias Weth. |