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Abstract:

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.

Registro:

Documento: Artículo
Título:A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces
Autor:Fernández Bonder, J.; Saintier, N.; Silva, A.
Filiación:IMAS - CONICET and Departamento de Matemática, FCEyN - Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
CONICET and Dpto Matemática, FCEyN - Univ. de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
IMASL - CONICET and Departamento de Matemática, Universidad Nacional de San Luis, San Luis, 5700, Argentina
Palabras clave:Concentration compactness; Critical exponents; Sobolev embedding; Variable exponents
Año:2016
Volumen:442
Número:1
Página de inicio:189
Página de fin:205
DOI: http://dx.doi.org/10.1016/j.jmaa.2016.04.021
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v442_n1_p189_FernandezBonder

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Citas:

---------- APA ----------
Fernández Bonder, J., Saintier, N. & Silva, A. (2016) . A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces. Journal of Mathematical Analysis and Applications, 442(1), 189-205.
http://dx.doi.org/10.1016/j.jmaa.2016.04.021
---------- CHICAGO ----------
Fernández Bonder, J., Saintier, N., Silva, A. "A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces" . Journal of Mathematical Analysis and Applications 442, no. 1 (2016) : 189-205.
http://dx.doi.org/10.1016/j.jmaa.2016.04.021
---------- MLA ----------
Fernández Bonder, J., Saintier, N., Silva, A. "A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces" . Journal of Mathematical Analysis and Applications, vol. 442, no. 1, 2016, pp. 189-205.
http://dx.doi.org/10.1016/j.jmaa.2016.04.021
---------- VANCOUVER ----------
Fernández Bonder, J., Saintier, N., Silva, A. A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces. J. Math. Anal. Appl. 2016;442(1):189-205.
http://dx.doi.org/10.1016/j.jmaa.2016.04.021