Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians

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...

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Guardado en:
Detalles Bibliográficos
Publicado: 2017
Materias:
Fractional Laplacian
Sobolev spaces
Variable exponents
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v2017_n_p1_Kaufmann
http://hdl.handle.net/20.500.12110/paper_14173875_v2017_n_p1_Kaufmann
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_14173875_v2017_n_p1_Kaufmann
record_format dspace
spelling paper:paper_14173875_v2017_n_p1_Kaufmann2023-06-08T16:13:31Z Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians Fractional Laplacian Sobolev spaces Variable exponents 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. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v2017_n_p1_Kaufmann http://hdl.handle.net/20.500.12110/paper_14173875_v2017_n_p1_Kaufmann
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Fractional Laplacian
Sobolev spaces
Variable exponents
spellingShingle Fractional Laplacian
Sobolev spaces
Variable exponents
Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians
topic_facet Fractional Laplacian
Sobolev spaces
Variable exponents
description 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.
title Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians
title_short Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians
title_full Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians
title_fullStr Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians
title_full_unstemmed Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians
title_sort fractional sobolev spaces with variable exponents and fractional p(x)-laplacians
publishDate 2017
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v2017_n_p1_Kaufmann
http://hdl.handle.net/20.500.12110/paper_14173875_v2017_n_p1_Kaufmann
_version_ 1768544427231412224

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