TY - JOUR AU - Arrieta Algarra, José María AU - Rodríguez Bernal, Aníbal AU - Rossi, Julio D. PY - 2008 DO - 10.1017/S0308210506000813 SN - 0308-2105 UR - https://hdl.handle.net/20.500.14352/49743 T2 - Proceedings of the Royal Society of Edinburgh: Section A Mathematics 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 :... LA - eng M2 - 223 PB - Cambridge University Press KW - Nonlinear boundary conditions KW - Sobolev trace embedding KW - Symmetry of extremals TI - The best Sobolev trace constant as limit of the usual Sobolev constant for small strips near the boundary TY - journal article VL - 138 ER -