On the Sobolev embedding theorem for variable exponent spaces in the critical range
In this paper we study the Sobolev embedding theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals. The proof is based on a suitable refinement of the estimates in the Concentration-Compactness Theorem fo...
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00220396_v253_n5_p1604_FernandezBonder |
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todo:paper_00220396_v253_n5_p1604_FernandezBonder2023-10-03T14:25:35Z On the Sobolev embedding 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 embedding theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals. The proof is based on a suitable refinement of the estimates in the Concentration-Compactness Theorem for variable exponents and an adaptation of a convexity argument due to P.L. Lions, F. Pacella and M. Tricarico. © 2012 Elsevier Inc.. 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_00220396_v253_n5_p1604_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 embedding 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 embedding theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals. The proof is based on a suitable refinement of the estimates in the Concentration-Compactness Theorem for variable exponents and an adaptation of a convexity argument due to P.L. Lions, F. Pacella and M. Tricarico. © 2012 Elsevier Inc.. |
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 embedding theorem for variable exponent spaces in the critical range |
title_short |
On the Sobolev embedding theorem for variable exponent spaces in the critical range |
title_full |
On the Sobolev embedding theorem for variable exponent spaces in the critical range |
title_fullStr |
On the Sobolev embedding theorem for variable exponent spaces in the critical range |
title_full_unstemmed |
On the Sobolev embedding theorem for variable exponent spaces in the critical range |
title_sort |
on the sobolev embedding theorem for variable exponent spaces in the critical range |
url |
http://hdl.handle.net/20.500.12110/paper_00220396_v253_n5_p1604_FernandezBonder |
work_keys_str_mv |
AT fernandezbonderj onthesobolevembeddingtheoremforvariableexponentspacesinthecriticalrange AT saintiern onthesobolevembeddingtheoremforvariableexponentspacesinthecriticalrange AT silvaa onthesobolevembeddingtheoremforvariableexponentspacesinthecriticalrange |
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1782029576932687872 |