3 problems

Let $n \ge 2$ be an integer, and let the $k$th Steklov eigenvalue be associated with critical lengths for hypersurfaces of revolution in Euclidean space. Eventual finite-critical-l…

Let a hypersurface of revolution in Euclidean space have two boundary components, and consider the critical lengths associated with its Steklov eigenvalues. Finite-infinite-length…

Let $\Omega$ be a polygonal domain, let $p$ be the parameter in the Dirichlet-to-Neumann operator, and let $V_k^{(p)}$ be a first Steklov eigenfunction with eigenvalue…