Artículo

Kaufmann, U.; Rossi, J.D.; Vidal, R. "Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians" (2017) Electronic Journal of Qualitative Theory of Differential Equations. 2017:1-10
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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
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
Palabras clave:Fractional Laplacian; Sobolev spaces; Variable exponents
Año:2017
Volumen:2017
Página de inicio:1
Página de fin:10
DOI: http://dx.doi.org/10.14232/ejqtde.2017.1.76
Título revista:Electronic Journal of Qualitative Theory of Differential Equations
Título revista abreviado:Electron. J. Qual. Theor. Differ. Equ.
ISSN:14173875
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v2017_n_p1_Kaufmann

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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