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Optimization of Robin Laplacian Eigenvalue With Indefinite Weight in Spherical Shell

Optimization of Robin Laplacian eigenvalue with indefinite weight in spherical shell
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 06 Jan 2025Embargo end date: 01 Jan 2024 English Publisher:WileyJournal:Mathematical Methods in the Applied Sciences, volume 48, pages 6,586-6,591 (issn: 0170-4214, eissn: 1099-1476, Copyright policy )
Authors: Baruch Schneider; Diana Schneiderová; Yifan Zhang;

doi: 10.1002/mma.10697 , 10.48550/arxiv.2410.03498

arXiv: 2410.03498

Optimization of Robin Laplacian Eigenvalue With Indefinite Weight in Spherical Shell

Abstract

ABSTRACTThis paper is concerned with an optimization problem of Robin Laplacian eigenvalue with respect to an indefinite weight, which is formulated as a shape optimization problem thanks to the known bang–bang distribution of the optimal weight function. The minimization of the principal eigenvalue of the problem in a spherical shell of an arbitrary dimension is fully solved.

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Keywords

Mathematics - Spectral Theory, Mathematics - Functional Analysis, Robin conditions, principal eigenvalue, shape optimization, FOS: Mathematics, General and overarching topics; collections, Spectral Theory (math.SP), spherical shell, Functional Analysis (math.FA)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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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