The behavior of the best Sobolev trace constant and extremals in thin domains

Simple item page
dc.contributor.authorBonder, JF
dc.contributor.authorMartínez, S
dc.contributor.authorRossi, JD
dc.date.accessioned2025-01-21T01:08:13Z
dc.date.available2025-01-21T01:08:13Z
dc.date.issued2004
dc.description.abstractIn this paper, we study the asymptotic behavior of the best Sobolev trace constant and extremals for the immersion W-1,W-p (Omega) hooked right arrow L-q (partial derivativeOmega) in a bounded smooth domain when it is contracted in one direction. We find that the limit problem, when rescaled in a suitable way, is a Sobolev-type immersion in weighted spaces over a projection of Omega, W-1,W-p (P(Omega),alpha) hooked right arrow L-q (P(Omega), beta).
dc.description.abstractFor the special case p = q, this problem leads to an eigenvalue problem with a nonlinear boundary condition. We also study the convergence of the eigenvalues and eigenvectors in this case. (C) 2003 Elsevier Inc. All rights reserved.
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.jde.2003.07.011
dc.identifier.eissn1090-2732
dc.identifier.issn0022-0396
dc.identifier.urihttps://doi.org/10.1016/j.jde.2003.07.011
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/96441
dc.identifier.wosidWOS:000220029700006
dc.issue.numero1
dc.language.isoen
dc.pagina.final148
dc.pagina.inicio129
dc.revistaJournal of differential equations
dc.rightsacceso restringido
dc.subjectSobolev trace constants
dc.subjectp-Laplacian
dc.subjectnonlinear boundary conditions
dc.subjecteigenvalue problems
dc.titleThe behavior of the best Sobolev trace constant and extremals in thin domains
dc.typeartículo
dc.volumen198
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
Files
Collections
Artículos de revistas