Sharp upper bound and a comparison theorem for the first nonzero Steklov eigenvalue
Differential Geometry
2012-08-09 v1
Abstract
In this paper we prove that given a volume, among all domains with smooth boundary in rank-1 symmetric spaces of noncompact type, geodesic balls maximizes the first nonzero Steklov eigenvalue. We also prove a comparison result for the first nonzero Steklov eigenvalue for domains in simply connected Riemannian manifolds with certain curvature bounds.
Cite
@article{arxiv.1208.1690,
title = {Sharp upper bound and a comparison theorem for the first nonzero Steklov eigenvalue},
author = {Binoy and G. Santhanam},
journal= {arXiv preprint arXiv:1208.1690},
year = {2012}
}