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On the fundamental eigenvalue ratio of the p-Laplacian

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2007Embargo end date: 01 Jan 2004 English Publisher:Elsevier BVJournal:Bulletin des Sciences Mathématiques, volume 131, pages 613-619 (issn: 0007-4497, Copyright policy )Funded by:NSF | Spectra, Geometry, and As...
Authors: Jacqueline Fleckinger; François de Thélin; Evans M. Harrell;

doi: 10.1016/j.bulsci.2006.03.016 , 10.48550/arxiv.math/0411013

arXiv: http://arxiv.org/abs/math/0411013

On the fundamental eigenvalue ratio of the p-Laplacian

Abstract

It is shown that the fundamental eigenvalue ratio ��_2 / ��_1 of the p-Laplacian is bounded by a quantity depending only on the dimension N and p.

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Keywords

Mathematics - Spectral Theory, Mathematics(all), Mathematics - Analysis of PDEs, p-Laplacian, FOS: Mathematics, 35J60; 35J70, Eigenvalue gap, Spectral Theory (math.SP), 35J70, 35J60, Analysis of PDEs (math.AP)

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    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).
    		 4
    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.
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
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!
4
Average
Top 10%
Average
Green
hybrid