Existence and uniqueness results for a class of obstacle problem via Young's measure theory

M Allalou, M El Ouaarabi, A Raji - Analysis and Mathematical Physics, 2024 - Springer
The purpose of this article is to prove the existence and uniqueness of weak solutions to the
following obstacle problem of p-Laplace-type:∫ Ω σ 1 (z, D uF (u)): D (vu)+ σ 2 (z, D u):(vu)+ …

Elliptic Kirchhoff-type system with two convections terms and under Dirichlet boundary conditions

N Moujane, OM El, C Allalou - Filomat, 2023 - doiserbia.nb.rs
This work discusses the existence of weak solutions for a system of Kirchhoff-type involving
variable exponent (α1 (m), α2 (m))-Laplacian operators and under the Dirichlet boundary …

On a class of nonhomogeneous anisotropic elliptic problem with variable exponents

M Allalou, M El Ouaarabi, A Raji - … Circolo Matematico di Palermo Series 2, 2024 - Springer
In this investigation, we study the existence of weak solution for a class of nonhomogeneous
anisotropic elliptic problem. These problems involve the anisotropic operators with variable …

Study of some elliptic system of (p (x), q (x))-Kirchhoff type with convection

N Moujane, M El Ouaarabi, C Allalou - Journal of Elliptic and Parabolic …, 2023 - Springer
In this paper, we study the existence of weak solutions for a nonlocal elliptic system
involving the (p (x), q (x))-Kirchhoff–Laplacian operators with Dirichlet boundary conditions …

Infinitely many solutions for a bi‐nonlocal problem of s (m)‐Kirchhoff‐type without Ambrosetti–Rabinowitz condition

H Bouaam, M El Ouaarabi… - Mathematical Methods in …, 2025 - Wiley Online Library
This paper deals with the existence and multiplicity results for a bi‐nonlocal problem without
the Ambrosetti–Rabinwitz condition, in the context of variable exponents of Sobolev spaces …

On a Class of p(z)-Biharmonic Kirchhoff Type Problems with Indefinite Weight and No-Flow Boundary Condition

M Allalou, M El Ouaarabi, A Raji - Iranian Journal of Science, 2025 - Springer
In this paper we study the existence of weak solutions for a fourth order variable exponent
Kirchhoff type problem involving p (z)-biharmonic operator with indefinite weight and no flux …

Existence of three solutions to a p(z)-Laplacian-Like Robin problem

M El Ouaarabi, N Moujane, S Melliani - ANNALI DELL'UNIVERSITA'DI …, 2024 - Springer
This paper deals with the existence of solutions for a Robin boundary problem involving the
p (z)-Laplacian-Like operator. Using Ricceri's variational method, we prove the existence …

Nonlocal τ (m)‐Laplacian‐like problem with logarithmic nonlinearity and without Ambrosetti–Rabinowitz condition on compact Riemannian manifolds

H Bouaam, M El Ouaarabi, C Allalou… - … Methods in the …, 2024 - Wiley Online Library
By means of variational methods, we study the existence and multiplicity of nontrivial weak
solutions for a nonlocal τ (m) τ (m)‐Laplacian‐like problem, arising from a capillarity …

On a class of nonlinear elliptic problem of convolution type via topological degree theory

M Allalou, M El Ouaarabi, A Raji - Monatshefte für Mathematik, 2025 - Springer
In this manuscript, we investigate a boundary value problem governed by a complex system
of partial differential equations given by:-div [L ϑ z, ϑ,∇ ϑ]+ M^| ϑ| p-2 ϑ= L σ (z, ħ∗ σ …

Nonlinear degenerate Navier problem involving the weighted biharmonic operator with measure data in weighted Sobolev spaces

Y Fadil, M El Ouaarabi, C Allalou… - Boletín de la Sociedad …, 2024 - Springer
In this paper, we prove the existence and uniqueness of weak solution for a nonlinear
degenerate Navier problem involving the weighted biharmonic operator of the following …