2 papers
math.AP2025
Embedding Results and Fractional -Laplacian Problem in Unbounded Domains
Abdelkrim Barbara, Ahmed Bousmaha, Mohammed Shimi
In this paper, we prove a new continuous embedding theorem for fractional Sobolev spaces with variable exponents into variable exponent Lebesgue spaces on unbounded domains. As an…
math.AP2024
Anisotropic fractional Sobolev spaces with variable exponent and application to nonlocal problems
Elhoussine Azroul, Abdelkrim Barbara, Nezha Kamali +1
The main goal of this paper is to introduce a new fractional anisotropic Sobolev space with variable exponent where the basic qualitative properties (completeness, separability, re…