39 citations · 45 across the 9 of their papers we have counts for
9 papers
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…
Nonlocal problems with Neumann and Robin boundary condition in fractional Musielak-Sobolev spaces
Elhoussine Azroul, Abdelmoujib Benkirane, Mohammed Srati
In this paper, we develop some properties of the -Neumann derivative for the fractional -Laplacian operator. Therefore we prove the basic proprieties of the…
Embedding and extension results in Fractional Musielak-Sobolev spaces
Elhoussine Azroul, Abdelmoujib Benkirane, Mohammed Shimi +1
In this paper, we are concerned with some qualitative properties of the new fractional Musielak-Sobolev spaces such that the generalized Poincaré type inequa…
Quasi-linear elliptic equations with data in on a compact Riemannian manifold
E. Azroul, A. Abnoune, M. T. K. Abbassi
This work is dedicated to the study of quasi-linear elliptic problems with data, the simple model will be the next equation on a compact Riemannian manifold. $$-Δ_{…
Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces
Elhoussine Azroul, Abdelmoujib Benkirane, Mohammed Srati
In this paper, we investigate the existence of weak solution for a fractional type problems driven by a nonlocal operator of elliptic type in a fractional Orlicz-Sobolev space, wit…
Nonlinear parabolic equations with soft measure data
Mohammed Abdellaoui, Elhoussine Azroul
In this paper we prove existence and uniqueness results for nonlinear parabolic problems with Dirichlet boundary values whose model is \[ \left\{ \begin{aligned} &b(u)_t-Δ_{p}u=μ\;…