On the first Steklov-Dirichlet eigenvalue on eccentric annuli in general dimensions
Analysis of PDEs
2023-09-19 v1
Abstract
We consider the Steklov-Dirichlet eigenvalue problem on eccentric annuli in Euclidean space of general dimensions. In recent work by the same authors of this paper [21], a limiting behavior of the first eigenvalue, as the distance between the two boundary circles of an annulus approaches zero, was obtained in two dimensions. We extend this limiting behavior to general dimensions by employing bispherical coordinates and expressing the first eigenfunction as a Fourier-Gegenbauer series.
Keywords
Cite
@article{arxiv.2309.09587,
title = {On the first Steklov-Dirichlet eigenvalue on eccentric annuli in general dimensions},
author = {Jiho Hong and Mikyoung Lim and Dong-Hwi Seo},
journal= {arXiv preprint arXiv:2309.09587},
year = {2023}
}
Comments
19 pages, 3 figures