A Critical Domain For the First Normalized Nontrivial Steklov Eigenvalue Among Planar Annular Domains
Optimization and Control
2022-10-07 v4 Analysis of PDEs
Abstract
We describe a shape derivative approach to provide a candidate for an optimal domain among non-simply connected planar domains with two boundary components. This approach is an adaptation of the work on the extremal eigenvalue problem for the Wentzell-Laplace operator developed by Dambrine, Kateb and Lamboley.
Keywords
Cite
@article{arxiv.1909.02121,
title = {A Critical Domain For the First Normalized Nontrivial Steklov Eigenvalue Among Planar Annular Domains},
author = {Leoncio Rodriguez Quinones},
journal= {arXiv preprint arXiv:1909.02121},
year = {2022}
}