Eigenvalue comparisons in Steklov eigenvalue problem and some other eigenvalue estimates
Differential Geometry
2019-09-10 v5
Abstract
In this paper, two interesting eigenvalue comparison theorems for the first non-zero Steklov eigenvalue of the Laplacian have been established for manifolds with radial sectional curvature bounded from above. Besides, sharper bounds for the first non-zero eigenvalue of the Wentzell eigenvalue problem of the weighted Laplacian, which can be seen as a natural generalization of the classical Steklov eigenvalue problem, have been obtained.
Cite
@article{arxiv.1810.08281,
title = {Eigenvalue comparisons in Steklov eigenvalue problem and some other eigenvalue estimates},
author = {Yan Zhao and Chuanxi Wu and Jing Mao and Feng Du},
journal= {arXiv preprint arXiv:1810.08281},
year = {2019}
}
Comments
Comments are welcome. 24 pages. A revised version will appear in Revista Matem\'{a}tica Complutense