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 |
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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: | 12 Dic 2018 15:07 |
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