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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Bibliografiske detaljer

Principais autores:	Uriel Kaufmann, Julio Rossi, Raul Vidal
Format:	Artigo
Sprog:	Inglês
Udgivet:	University of Szeged 2017-11-01
Serier:	Electronic Journal of Qualitative Theory of Differential Equations
Fag:	variable exponents sobolev spaces fractional laplacian
Online adgang:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6068
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