RT Journal Article
T1 The best Sobolev trace constant as limit of the usual Sobolev constant for small strips near the boundary
A1 Arrieta Algarra, José María
A1 Rodríguez Bernal, Aníbal
A1 Rossi, Julio D.
AB In this paper we prove that the best constant in the Sobolev trace embedding H1() ,! Lq(@) in a bounded smooth domain can be obtained as the limit as " ! 0 of the best constant of the usual Sobolev embedding H1() ,! Lq(!", dx/") where !" = {x 2  : dist(x, @) < "} is a small neighborhood of the boundary. We also analyze symmetry properties of extremals of this last embedding when  is a ball.
PB Cambridge University Press
SN 0308-2105
YR 2008
FD 2008
LK https://hdl.handle.net/20.500.14352/49743
UL https://hdl.handle.net/20.500.14352/49743
LA eng
NO CONICET
NO ANPCyT PICT
DS Docta Complutense
RD 7 may 2024