A Critical Domain For the First Normalized Nontrivial Steklov Eigenvalue Among Planar Annular Domains
Leoncio Rodriguez Quiñones · arXiv (Cornell University) · 2019
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.