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

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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Bibliographic Details
Main Authors: Uriel Kaufmann, Julio Rossi, Raul Vidal
Format: Article
Language:English
Published: University of Szeged 2017-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
variable exponents
sobolev spaces
fractional laplacian
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6068

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