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Abstract:

In this paper, the existence problem is studied for extremals of the Sobolev trace inequality W1,p(Ω) → L p(∂Ω), where Ω is abounded smooth domain in ℝN, p* = p(N - 1)/(N - p) is the critical Sobolev exponent, and 1 < p < N. © 2005 London Mathematical Society.

Registro:

Documento: Artículo
Título:On the existence of extremals for the Sobolev trace embedding theorem with critical exponent
Autor:Bonder, J.F.; Rossi, J.D.
Filiación:Departemento de Matemática, FCEyN, UBA (1428), Buenos Aires, Argentina
Departamento de Matemática, Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
Año:2005
Volumen:37
Número:1
Página de inicio:119
Página de fin:125
DOI: http://dx.doi.org/10.1112/S0024609304003819
Título revista:Bulletin of the London Mathematical Society
Título revista abreviado:Bull. Lond. Math. Soc.
ISSN:00246093
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00246093_v37_n1_p119_Bonder

Referencias:

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  • Bonder, J.F., Dozo, E.L., Rossi, J.D., Symmetry properties for the extremals of the Sobolev trace embedding in small balls Ann. Inst. H. Poincaré Anal. Non Linéaire, , to appear
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Citas:

---------- APA ----------
Bonder, J.F. & Rossi, J.D. (2005) . On the existence of extremals for the Sobolev trace embedding theorem with critical exponent. Bulletin of the London Mathematical Society, 37(1), 119-125.
http://dx.doi.org/10.1112/S0024609304003819
---------- CHICAGO ----------
Bonder, J.F., Rossi, J.D. "On the existence of extremals for the Sobolev trace embedding theorem with critical exponent" . Bulletin of the London Mathematical Society 37, no. 1 (2005) : 119-125.
http://dx.doi.org/10.1112/S0024609304003819
---------- MLA ----------
Bonder, J.F., Rossi, J.D. "On the existence of extremals for the Sobolev trace embedding theorem with critical exponent" . Bulletin of the London Mathematical Society, vol. 37, no. 1, 2005, pp. 119-125.
http://dx.doi.org/10.1112/S0024609304003819
---------- VANCOUVER ----------
Bonder, J.F., Rossi, J.D. On the existence of extremals for the Sobolev trace embedding theorem with critical exponent. Bull. Lond. Math. Soc. 2005;37(1):119-125.
http://dx.doi.org/10.1112/S0024609304003819