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: INPR
Lenguaje:English
Materias:
Concentration compactness
Critical exponents
Sobolev embedding
Variable exponents
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03733114_v_n_p1_FernandezBonder
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03733114_v_n_p1_FernandezBonder
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spelling todo:paper_03733114_v_n_p1_FernandezBonder2023-10-03T15:30:20Z 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. INPR English info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03733114_v_n_p1_FernandezBonder
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language English
orig_language_str_mv English
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 INPR
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_v_n_p1_FernandezBonder
work_keys_str_mv AT fernandezbonderj onthesobolevtracetheoremforvariableexponentspacesinthecriticalrange
AT saintiern onthesobolevtracetheoremforvariableexponentspacesinthecriticalrange
AT silvaa onthesobolevtracetheoremforvariableexponentspacesinthecriticalrange
_version_ 1782023832669782016

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