Profile expansion for the first nontrivial Steklov eigenvalue in Riemannian manifolds
Profile expansion for the first nontrivial Steklov eigenvalue in Riemannian manifolds
We study the problem of maximizing the first nontrivial Steklov eigenvalue of the Laplace-Beltrami Operator among subdomains of fixed volume of a Riemannian manifold. More precisely, we study the expansion of the corresponding profile of this isoperimetric (or isochoric) problem as the volume tends to zero. The main difficulty encountered …