The first Stekloff eigenvalue in weighted Riemannian manifolds
Differential Geometry
2015-04-13 v1 Functional Analysis
Abstract
In study of eigenvalue problems, a classical problem is the Stekloff eigenvalue problem. There are many estimates of the first non- zero Stekloff eigenvalue, including a sharp estimate on surfaces, obtained by Escobar in "The geometry of the first non-zero Stekloff eigenvalue, J. Funct. Anal. 150 (1997)". In this paper we are interested to study this problem in weighted context. Various estimates are obtained, including a sharp estimate on surfaces, similar to that Escobar obtained.
Keywords
Cite
@article{arxiv.1504.02630,
title = {The first Stekloff eigenvalue in weighted Riemannian manifolds},
author = {M. Batista and J. I. Santos},
journal= {arXiv preprint arXiv:1504.02630},
year = {2015}
}
Comments
19 pages