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arXiv.org e-Print Archive
Preprint . 2019
Data sources: arXiv.org e-Print Archive
https://doi.org/10.2139/ssrn.4...
Article . 2023 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2019
License: CC BY NC SA
Data sources: Datacite
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A Critical Domain for the First Normalized Nontrivial Steklov Eigenvalue Among Planar Annular Domains

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2023Embargo end date: 01 Sep 2019Publisher:Elsevier BV
Authors: Quinones, Leoncio Rodriguez;

doi: 10.2139/ssrn.4581728 , 10.48550/arxiv.1909.02121

arXiv: 1909.02121

A Critical Domain for the First Normalized Nontrivial Steklov Eigenvalue Among Planar Annular Domains

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.

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Keywords

Mathematics - Analysis of PDEs, Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Optimization and Control, Analysis of PDEs (math.AP)

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citations
The total number of citations received by all articles of the researcher of interest.
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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