On the existence of extremals for the Sobolev trace embedding theorem with critical exponent

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.

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Autor principal: Rossi, Julio Daniel
Publicado: 2005
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00246093_v37_n1_p119_Bonder
http://hdl.handle.net/20.500.12110/paper_00246093_v37_n1_p119_Bonder
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00246093_v37_n1_p119_Bonder
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spelling paper:paper_00246093_v37_n1_p119_Bonder2023-06-08T14:52:30Z On the existence of extremals for the Sobolev trace embedding theorem with critical exponent Rossi, Julio Daniel 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. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2005 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00246093_v37_n1_p119_Bonder http://hdl.handle.net/20.500.12110/paper_00246093_v37_n1_p119_Bonder
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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.
author Rossi, Julio Daniel
spellingShingle Rossi, Julio Daniel
On the existence of extremals for the Sobolev trace embedding theorem with critical exponent
author_facet Rossi, Julio Daniel
author_sort Rossi, Julio Daniel
title On the existence of extremals for the Sobolev trace embedding theorem with critical exponent
title_short On the existence of extremals for the Sobolev trace embedding theorem with critical exponent
title_full On the existence of extremals for the Sobolev trace embedding theorem with critical exponent
title_fullStr On the existence of extremals for the Sobolev trace embedding theorem with critical exponent
title_full_unstemmed On the existence of extremals for the Sobolev trace embedding theorem with critical exponent
title_sort on the existence of extremals for the sobolev trace embedding theorem with critical exponent
publishDate 2005
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00246093_v37_n1_p119_Bonder
http://hdl.handle.net/20.500.12110/paper_00246093_v37_n1_p119_Bonder
work_keys_str_mv AT rossijuliodaniel ontheexistenceofextremalsforthesobolevtraceembeddingtheoremwithcriticalexponent
_version_ 1768546709488533504

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