On the Sobolev trace Theorem for variable exponent spaces in the critical range

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In this paper, we study the Sobolev trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals. Then, we give local conditions on the exponents and on the domain (in the spirit of Adimurthy and Yadava) i...

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Autores principales:	Fernandez Bonder, Julian, Silva, Analia Concepcion
Publicado:	2014
Materias:	Concentration compactness Critical exponents Sobolev embedding Variable exponents
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03733114_v193_n6_p1607_FernandezBonder http://hdl.handle.net/20.500.12110/paper_03733114_v193_n6_p1607_FernandezBonder
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_03733114_v193_n6_p1607_FernandezBonder
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spelling	paper:paper_03733114_v193_n6_p1607_FernandezBonder2023-06-08T15:37:55Z On the Sobolev trace Theorem for variable exponent spaces in the critical range Fernandez Bonder, Julian Silva, Analia Concepcion Concentration compactness Critical exponents Sobolev embedding Variable exponents In this paper, we study the Sobolev trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals. Then, we give local conditions on the exponents and on the domain (in the spirit of Adimurthy and Yadava) in order to satisfy such conditions and therefore to ensure the existence of extremals. © 2013, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg. Fil:Fernández Bonder, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Silva, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03733114_v193_n6_p1607_FernandezBonder http://hdl.handle.net/20.500.12110/paper_03733114_v193_n6_p1607_FernandezBonder
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Concentration compactness Critical exponents Sobolev embedding Variable exponents
spellingShingle	Concentration compactness Critical exponents Sobolev embedding Variable exponents Fernandez Bonder, Julian Silva, Analia Concepcion On the Sobolev trace Theorem for variable exponent spaces in the critical range
topic_facet	Concentration compactness Critical exponents Sobolev embedding Variable exponents
description	In this paper, we study the Sobolev trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals. Then, we give local conditions on the exponents and on the domain (in the spirit of Adimurthy and Yadava) in order to satisfy such conditions and therefore to ensure the existence of extremals. © 2013, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg.
author	Fernandez Bonder, Julian Silva, Analia Concepcion
author_facet	Fernandez Bonder, Julian Silva, Analia Concepcion
author_sort	Fernandez Bonder, Julian
title	On the Sobolev trace Theorem for variable exponent spaces in the critical range
title_short	On the Sobolev trace Theorem for variable exponent spaces in the critical range
title_full	On the Sobolev trace Theorem for variable exponent spaces in the critical range
title_fullStr	On the Sobolev trace Theorem for variable exponent spaces in the critical range
title_full_unstemmed	On the Sobolev trace Theorem for variable exponent spaces in the critical range
title_sort	on the sobolev trace theorem for variable exponent spaces in the critical range
publishDate	2014
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03733114_v193_n6_p1607_FernandezBonder http://hdl.handle.net/20.500.12110/paper_03733114_v193_n6_p1607_FernandezBonder
work_keys_str_mv	AT fernandezbonderjulian onthesobolevtracetheoremforvariableexponentspacesinthecriticalrange AT silvaanaliaconcepcion onthesobolevtracetheoremforvariableexponentspacesinthecriticalrange
_version_	1768544598569779200

On the Sobolev trace Theorem for variable exponent spaces in the critical range

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