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:	Fernández Bonder, J., Saintier, N., Silva, A.
Formato:	JOUR
Materias:	Concentration compactness Critical exponents Sobolev embedding Variable exponents
Acceso en línea:	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

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spelling	todo:paper_03733114_v193_n6_p1607_FernandezBonder2023-10-03T15:30:19Z On the Sobolev trace Theorem for variable exponent spaces in the critical range Fernández Bonder, J. Saintier, N. Silva, A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Fernández Bonder, J. Saintier, N. Silva, A. 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.
format	JOUR
author	Fernández Bonder, J. Saintier, N. Silva, A.
author_facet	Fernández Bonder, J. Saintier, N. Silva, A.
author_sort	Fernández Bonder, J.
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
url	http://hdl.handle.net/20.500.12110/paper_03733114_v193_n6_p1607_FernandezBonder
work_keys_str_mv	AT fernandezbonderj onthesobolevtracetheoremforvariableexponentspacesinthecriticalrange AT saintiern onthesobolevtracetheoremforvariableexponentspacesinthecriticalrange AT silvaa onthesobolevtracetheoremforvariableexponentspacesinthecriticalrange
_version_	1782027769212829696

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

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