Remarks on minimizers for (p, q)-Laplace equations with two parameters

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dc.contributor.authorBobkov, Vladimír
dc.contributor.authorTanaka, Mieko
dc.date.accessioned2018-10-21T10:00:13Z
dc.date.available2018-10-21T10:00:13Z
dc.date.issued2018
dc.description.abstract-translatedWe study in detail the existence, nonexistence and behavior of global minimizers, ground states and corresponding energy levels of the (p,q)-Laplace equation in a bounded domain under zero Dirichlet boundary condition, where p>q>1. A curve on the plane of parameters which allocates a set of the existence of ground states and the multiplicity of positive solutions is constructed. Additionally, we show that eigenfunctions of the p-and q-Laplacians under zero Dirichlet boundary condition are linearly independent.en
dc.format35 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.doi10.3934/cpaa.2018059
dc.identifier.issn1534-0392
dc.identifier.obd43921221
dc.identifier.uri2-s2.0-85044421608
dc.identifier.urihttp://hdl.handle.net/11025/30443
dc.language.isoenen
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnostcs
dc.publisherAmerican Institute of Mathematical Sciencesen
dc.rightsPlný text není přístupný.cs
dc.rights© American Institute of Mathematical Sciencesen
dc.rights.accessclosedAccessen
dc.subject.translatedp-Laplacianen
dc.subject.translated(p,q)-Laplacianen
dc.subject.translatednonlinear eigenvalue problemen
dc.subject.translatedglobal minimizeren
dc.subject.translatedground statesen
dc.subject.translatedNehari manifolden
dc.subject.translatedfibered functionalen
dc.subject.translatedimproved Poincaré inequality.en
dc.titleRemarks on minimizers for (p, q)-Laplace equations with two parametersen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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