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On fractional Laplacians $– 2$

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Dec 2016Embargo end date: 01 Jan 2014Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, volume 33, pages 1,667-1,673 (issn: 0294-1449, eissn: 1873-1430, Copyright policy )
Authors: Roberta Musina; Alexander I. Nazarov;

doi: 10.1016/j.anihpc.2015.08.001 , 10.48550/arxiv.1408.3568

arXiv: 1408.3568

handle: 11390/1071100 , 20.500.11767/32928

On fractional Laplacians $– 2$

Abstract

For s > −1 we compare two natural types of fractional Laplacians (−\mathrm{\Delta })^{s} , namely, the “Navier” and the “Dirichlet” ones.

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Keywords

Mathematics - Analysis of PDEs, Fractional Laplacians; nonlocal differential operators; Sobolev spaces, FOS: Mathematics, Fractional Laplacians, nonlocal differential operators, Sobolev spaces, 47A63, 35A23, Analysis of PDEs (math.AP)

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    popularity
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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!
20
Top 10%
Top 10%
Top 10%