Artículos de revistas
Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians
Date
2017-11Registration in:
Kaufmann, Uriel; Rossi, Julio Daniel; Vidal, Raúl Emilio; Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians; Univ Szeged; Electronic Journal Of Qualitative Theory Of Differential Equations; 2017; 11-2017; 1-10
1417-3875
CONICET Digital
CONICET
Author
Kaufmann, Uriel
Rossi, Julio Daniel
Vidal, Raúl Emilio
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.