Can I read Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces on EtoBox?

Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces by Karpukhin, Mikhail; Kokarev, Gerasim; Polterovich, Iosif is a scholarly article available to read on EtoBox.

What is Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces about?

We prove two explicit bounds for the multiplicities of Steklov eigenvalues $\sigma_k$ on compact surfaces with boundary. One of the bounds depends only on the genus of a surface and the index $k$ of an eigenvalue, while the other depends as well on the number of boundary components. We also show that on any given smooth Riemannian surface with boundary, the multiplicities of Steklov eigenvalues $\sigma_k$ are uniformly bounded in $k$.

Author

Karpukhin, Mikhail; Kokarev, Gerasim; Polterovich, Iosif

Published

2012

Language

EN