Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | On the Sobolev trace Theorem for variable exponent spaces in the critical range |
Autor: | Fernández Bonder, J.; Saintier, N.; Silva, A. |
Filiación: | IMAS-CONICET, Buenos Aires, Argentina Departamento de Matemática, FCEyN-Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina Universidad Nacional General Sarmiento, Juan María Gutierrez, 1150 Los Polvorines, Pcia de Bs. As, Argentina
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Palabras clave: | Concentration compactness; Critical exponents; Sobolev embedding; Variable exponents |
Año: | 2014
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Volumen: | 193
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Número: | 6
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Página de inicio: | 1607
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Página de fin: | 1628
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DOI: |
http://dx.doi.org/10.1007/s10231-013-0346-6 |
Título revista: | Annali di Matematica Pura ed Applicata
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Título revista abreviado: | Ann. Mat. Pura Appl.
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ISSN: | 03733114
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03733114_v193_n6_p1607_FernandezBonder |
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Citas:
---------- APA ----------
Fernández Bonder, J., Saintier, N. & Silva, A.
(2014)
. On the Sobolev trace Theorem for variable exponent spaces in the critical range. Annali di Matematica Pura ed Applicata, 193(6), 1607-1628.
http://dx.doi.org/10.1007/s10231-013-0346-6---------- CHICAGO ----------
Fernández Bonder, J., Saintier, N., Silva, A.
"On the Sobolev trace Theorem for variable exponent spaces in the critical range"
. Annali di Matematica Pura ed Applicata 193, no. 6
(2014) : 1607-1628.
http://dx.doi.org/10.1007/s10231-013-0346-6---------- MLA ----------
Fernández Bonder, J., Saintier, N., Silva, A.
"On the Sobolev trace Theorem for variable exponent spaces in the critical range"
. Annali di Matematica Pura ed Applicata, vol. 193, no. 6, 2014, pp. 1607-1628.
http://dx.doi.org/10.1007/s10231-013-0346-6---------- VANCOUVER ----------
Fernández Bonder, J., Saintier, N., Silva, A. On the Sobolev trace Theorem for variable exponent spaces in the critical range. Ann. Mat. Pura Appl. 2014;193(6):1607-1628.
http://dx.doi.org/10.1007/s10231-013-0346-6