Abstract:
In this article we extend the Sobolev spaces with variable exponents to include the fractional case, and we prove a compact embedding theorem of these spaces into variable exponent Lebesgue spaces. As an application we prove the existence and uniqueness of a solution for a nonlocal problem involving the fractional p(x)-Laplacian. © 2017, University of Szeged. All rights reserved.
Registro:
Documento: |
Artículo
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Título: | Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians |
Autor: | Kaufmann, U.; Rossi, J.D.; Vidal, R. |
Filiación: | FaMAF, Universidad Nacional de Cordoba, Cordoba, 5000, Argentina Departamento de Matemática, FCEyN, Universidad de Buenos Aires Ciudad Universitaria Pab 1, Buenos Aires, 1428, Argentina
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Palabras clave: | Fractional Laplacian; Sobolev spaces; Variable exponents |
Año: | 2017
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Volumen: | 2017
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Página de inicio: | 1
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Página de fin: | 10
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DOI: |
http://dx.doi.org/10.14232/ejqtde.2017.1.76 |
Título revista: | Electronic Journal of Qualitative Theory of Differential Equations
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Título revista abreviado: | Electron. J. Qual. Theor. Differ. Equ.
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ISSN: | 14173875
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v2017_n_p1_Kaufmann |
Referencias:
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Citas:
---------- APA ----------
Kaufmann, U., Rossi, J.D. & Vidal, R.
(2017)
. Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians. Electronic Journal of Qualitative Theory of Differential Equations, 2017, 1-10.
http://dx.doi.org/10.14232/ejqtde.2017.1.76---------- CHICAGO ----------
Kaufmann, U., Rossi, J.D., Vidal, R.
"Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians"
. Electronic Journal of Qualitative Theory of Differential Equations 2017
(2017) : 1-10.
http://dx.doi.org/10.14232/ejqtde.2017.1.76---------- MLA ----------
Kaufmann, U., Rossi, J.D., Vidal, R.
"Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians"
. Electronic Journal of Qualitative Theory of Differential Equations, vol. 2017, 2017, pp. 1-10.
http://dx.doi.org/10.14232/ejqtde.2017.1.76---------- VANCOUVER ----------
Kaufmann, U., Rossi, J.D., Vidal, R. Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians. Electron. J. Qual. Theor. Differ. Equ. 2017;2017:1-10.
http://dx.doi.org/10.14232/ejqtde.2017.1.76