Please use this identifier to cite or link to this item: https://hdl.handle.net/10316/4603
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dc.contributor.authorSanchón, Manel-
dc.date.accessioned2008-09-01T11:35:06Z-
dc.date.available2008-09-01T11:35:06Z-
dc.date.issued2007en_US
dc.identifier.citationNonlinear Analysis: Theory, Methods & Applications. 67:1 (2007) 281-294en_US
dc.identifier.urihttps://hdl.handle.net/10316/4603-
dc.description.abstractIn this article we consider the p-Laplace equation on a smooth bounded domain of with zero Dirichlet boundary conditions. Under adequate assumptions on f we prove that the extremal solution of this problem is in the energy class independently of the domain. We also obtain Lq and W1,q estimates for such a solution. Moreover, we prove its boundedness for some range of dimensions depending on the nonlinearity f.en_US
dc.description.urihttp://www.sciencedirect.com/science/article/B6V0Y-4KFV38H-1/1/cea49519619442ca6f3831d7928ae4e4en_US
dc.format.mimetypeaplication/PDFen
dc.language.isoengeng
dc.rightsopenAccesseng
dc.subjectp-Laplacianen_US
dc.subjectExtremal solutionen_US
dc.subjectRegularityen_US
dc.titleBoundedness of the extremal solution of some p-Laplacian problemsen_US
dc.typearticleen_US
dc.identifier.doi10.1016/j.na.2006.05.010-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypearticle-
item.cerifentitytypePublications-
item.grantfulltextopen-
item.fulltextCom Texto completo-
item.languageiso639-1en-
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais
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