Resumen de Strauss and Lions Type Theorems for the Fractional Sobolev Spaces with Variable Exponent and Applications to Nonlocal Kirchhoff–Choquard Problem

Sabri Bahrouni, Hichem Ounaies

• This paper deals with Strauss and Lions-type theorems for fractional Sobolev spaces with variable exponent Ws,p(.),p~(.,.)(Ω), when p and p~ satisfy some conditions. As application, we study the existence of solutions for a class of Kirchhoff–Choquard problem in RN.