A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces
In this paper, we study the critical Sobolev embeddings W1,p(.)(Ω)⊂Lp*(.)(Ω) for variable exponent Sobolev spaces from the point of view of the Γ-convergence. More precisely we determine the Γ-limit of subcritical approximation of the best constant associated with this embedding. As an application w...
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0022247X_v442_n1_p189_FernandezBonder |
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todo:paper_0022247X_v442_n1_p189_FernandezBonder2023-10-03T14:29:22Z A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces Fernández Bonder, J. Saintier, N. Silva, A. Concentration compactness Critical exponents Sobolev embedding Variable exponents In this paper, we study the critical Sobolev embeddings W1,p(.)(Ω)⊂Lp*(.)(Ω) for variable exponent Sobolev spaces from the point of view of the Γ-convergence. More precisely we determine the Γ-limit of subcritical approximation of the best constant associated with this embedding. As an application we provide a sufficient condition for the existence of extremals for the best constant. © 2016 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_0022247X_v442_n1_p189_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. A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces |
topic_facet |
Concentration compactness Critical exponents Sobolev embedding Variable exponents |
description |
In this paper, we study the critical Sobolev embeddings W1,p(.)(Ω)⊂Lp*(.)(Ω) for variable exponent Sobolev spaces from the point of view of the Γ-convergence. More precisely we determine the Γ-limit of subcritical approximation of the best constant associated with this embedding. As an application we provide a sufficient condition for the existence of extremals for the best constant. © 2016 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 |
A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces |
title_short |
A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces |
title_full |
A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces |
title_fullStr |
A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces |
title_full_unstemmed |
A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces |
title_sort |
gamma convergence approach to the critical sobolev embedding in variable exponent spaces |
url |
http://hdl.handle.net/20.500.12110/paper_0022247X_v442_n1_p189_FernandezBonder |
work_keys_str_mv |
AT fernandezbonderj agammaconvergenceapproachtothecriticalsobolevembeddinginvariableexponentspaces AT saintiern agammaconvergenceapproachtothecriticalsobolevembeddinginvariableexponentspaces AT silvaa agammaconvergenceapproachtothecriticalsobolevembeddinginvariableexponentspaces AT fernandezbonderj gammaconvergenceapproachtothecriticalsobolevembeddinginvariableexponentspaces AT saintiern gammaconvergenceapproachtothecriticalsobolevembeddinginvariableexponentspaces AT silvaa gammaconvergenceapproachtothecriticalsobolevembeddinginvariableexponentspaces |
_version_ |
1782029679376465920 |