The best constant for the Sobolev trace embedding from <i>W</i>1,1 (Ω) into <i>L</i><SUP>1</SUP> (partial derivativeΩ)

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dc.contributor.authorAndreu, F
dc.contributor.authorMazón, JM
dc.contributor.authorRossi, JD
dc.date.accessioned2025-01-21T01:07:28Z
dc.date.available2025-01-21T01:07:28Z
dc.date.issued2004
dc.description.abstractIn this paper we study the best constant, lambda1 (Omega) for the trace map from W-1,W-1 (Omega) into L-1 (partial derivativeOmega). We show that this constant is attained in BV (Omega) when lambda(1) (Omega) < 1. Moreover, we prove that this constant can be obtained as limit when p SE arrow 1 of the best constant of W-1,W-p (Omega) -->. L-p (partial derivativeOmega). To perform the proofs we will look at Neumann problems involving the 1-Laplacian, Delta(1) (u) = div (Du/\Du\). (C) 2004 Published by Elsevier Ltd.
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.na.2004.07.051
dc.identifier.eissn1873-5215
dc.identifier.issn0362-546X
dc.identifier.urihttps://doi.org/10.1016/j.na.2004.07.051
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/96333
dc.identifier.wosidWOS:000225181100008
dc.issue.numero7
dc.language.isoen
dc.pagina.final1145
dc.pagina.inicio1125
dc.revistaNonlinear analysis-theory methods & applications
dc.rightsacceso restringido
dc.subjectSobolev trace embedding
dc.subjectfunctions of bounded variation
dc.titleThe best constant for the Sobolev trace embedding from <i>W</i>1,1 (Ω) into <i>L</i><SUP>1</SUP> (partial derivativeΩ)
dc.typeartículo
dc.volumen59
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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