Biblioteca de la Universidad Complutense de Madrid

The best Sobolev trace constant as limit of the usual Sobolev constant for small strips near the boundary

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Arrieta Algarra, José María y Rodríguez Bernal, Aníbal y Rossi, Julio D. (2008) The best Sobolev trace constant as limit of the usual Sobolev constant for small strips near the boundary. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 138 (2). 223-237 . ISSN 0308-2105

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URL Oficial: http://journals.cambridge.org/action/displayJournal?jid=PRM



Resumen

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.


Tipo de documento:Artículo
Palabras clave:Nonlinear boundary conditions, Sobolev trace embedding, Symmetry of extremals
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:13423
Depositado:17 Oct 2011 14:59
Última Modificación:06 Feb 2014 09:48

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