8 papers · 1 filter
Fractional Sobolev spaces with kernel function on compact Riemannian manifolds
A. Aberqi, A. Ouaziz, D. D. Repovš
In this paper, a new class of Sobolev spaces with kernel function satisfying a Lévy-integrability type condition on compact Riemannian manifolds is presented. We establish the prop…
Homogeneous incompressible Bingham viscoplastic as a limit of bi-viscosity fluids
Wassim Aboussi, Fayssal Benkhaldoun, Ahmed Aberqi +2
In this paper, the existence of a weak solution for homogeneous incompressible Bingham fluid is investigated. The rheology of such a fluid is defined by a yield stress and a…
Existence of solutions for a singular double phase in Sobolev-Orlicz spaces with variable exponents in a complete manifold
Ahmed Aberqi, Jaouad Bennouna, Omar Benslimane +1
The purpose of this paper is to study a class of double phase problems, with a singular term and a superlinear parametric term on the right-hand side. Using the method of Nehari ma…
Existence Results for double phase problem in Sobolev-Orlicz spaces with variable exponents in Complete Manifold
Ahmed Aberqi, Jaouad Bennouna, Omar Benslimane +1
In this paper, we study the existence of non-negative non-trivial solutions for a class of double-phase problems where the source term is a Caratheodory function that satisfies the…
Descret Solution for a Nonlinear Parabolic Equations with Diffusion Terms in Museilak-Spaces
A. Aberqi, M. Elmassoudi, M. Hammoumi
In this paper, we study a class of nonlinear evolution equations with damping arising in fluid dynamics and rheology. The nonlinear term is monotone and possesses a convex potentia…
Nonlinear Elliptic Equations With Variable Exponents Satisfying Cerami Condition
Omar Benslimane, Ahmed Aberqi, Jaouad Bennouna
We are concerned with the study of the existence and multiplicity of solutions for Dirichlet boundary value problems involving the (p(x), q(x))-equation and the nonlinearity is sup…