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Lap number properties for p-Laplacian problems investigated by Lyapunov methods

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dc.contributor.authorGentile, Claudia B.
dc.contributor.authorBruschi, Simone M.
dc.contributor.institutionUniversidade Federal de São Carlos (UFSCar)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:23:14Z
dc.date.available2014-05-20T15:23:14Z
dc.date.issued2007-03-01
dc.description.abstractIn this work we consider a one-dimensional quasilinear parabolic equation and we prove that the lap number of any solution cannot increase through orbits as the time passes if the initial data is a continuous function. We deal with the lap number functional as a Lyapunov function, and apply lap number properties to reach an understanding on the asymptotic behavior of a particular problem. (c) 2006 Published by Elsevier Ltd.en
dc.description.affiliationUniv Fed Sao Carlos, BR-13565905 Sao Carlos, SP, Brazil
dc.description.affiliationUniv Estadual Paulista, BR-13506700 Rio Claro, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, BR-13506700 Rio Claro, SP, Brazil
dc.format.extent1005-1015
dc.identifierhttp://dx.doi.org/10.1016/j.na.2006.01.006
dc.identifier.citationNonlinear Analysis-theory Methods & Applications. Oxford: Pergamon-Elsevier B.V., v. 66, n. 5, p. 1005-1015, 2007.
dc.identifier.doi10.1016/j.na.2006.01.006
dc.identifier.issn0362-546X
dc.identifier.urihttp://hdl.handle.net/11449/34069
dc.identifier.wosWOS:000243829800001
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofNonlinear Analysis-theory Methods & Applications
dc.relation.ispartofjcr1.291
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectp-Laplacianpt
dc.subjectreaction-diffusionpt
dc.subjectlap numberpt
dc.subjectomega-limitpt
dc.titleLap number properties for p-Laplacian problems investigated by Lyapunov methodsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication

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