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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2017
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| 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 |
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| Sumario: | 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. |
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