Nonradiality of second eigenfunctions of the fractional Laplacian in a ball

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dc.contributor.authorBenedikt, Jiří
dc.contributor.authorBobkov, Vladimír
dc.contributor.authorDhara, Raj Narayan
dc.contributor.authorGirg, Petr
dc.date.accessioned2022-12-12T11:00:33Z
dc.date.available2022-12-12T11:00:33Z
dc.date.issued2022
dc.description.abstract-translatedUsing symmetrization techniques, we show that, for every N>=2, any second eigenfunction of the fractional Laplacian in the N-dimensional unit ball with homogeneous Dirichlet conditions is nonradial, and hence its nodal set is an equatorial section of the ball.en
dc.format14 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationBENEDIKT, J. BOBKOV, V. DHARA, RN. GIRG, P. Nonradiality of second eigenfunctions of the fractional Laplacian in a ball. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, roč. 150, č. 12, s. 5335-5348. ISSN: 0002-9939cs
dc.identifier.document-number837634400001
dc.identifier.doi10.1090/proc/16062
dc.identifier.issn0002-9939
dc.identifier.obd43937095
dc.identifier.uri2-s2.0-85140336967
dc.identifier.urihttp://hdl.handle.net/11025/50629
dc.language.isoenen
dc.publisherAmerican Mathematical Societyen
dc.relation.ispartofseriesProceedings Of The American Mathematical Societyen
dc.rightsPlný text není přístupný.cs
dc.rights© American Mathematical Societyen
dc.rights.accessclosedAccessen
dc.subject.translatedfractional Laplacianen
dc.subject.translatedeigenvalue problemen
dc.subject.translatednonradiality of eigenfunctionen
dc.subject.translatedsymmetrization techniqueen
dc.titleNonradiality of second eigenfunctions of the fractional Laplacian in a ballen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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