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Your search keyword '"El Hachimi, Abderrahmane"' showing total 3 results
Start Over Author "El Hachimi, Abderrahmane" Topic mathematical variables
3 results on '"El Hachimi, Abderrahmane"'

1. Existence and Stability of Solutions to Nonlocal Parabolic Problems with Variable Exponent.

Author

Alaoui, Abdelilah Lamrani, Jamea, Ahmed, and El Hachimi, Abderrahmane

Subjects
STABILITY theory, PARABOLIC differential equations, COMPACT spaces (Topology), MATHEMATICAL variables, PROBLEM solving
Abstract

We are studying a nonlinear nonlocal Dirichlet parabolic problem associated with the following p(x)-laplacian equation ∂u/∂t - a(∫Ω |∇u|p(x)/p(x)) Δ p(x)u = f(x,t). We apply Galerkin’s approximation technique, some uniform estimates and a compactness arguments to prove the existence result. Then we investigate the uniqueness of solutions, finally we give an answer to the asymptotic behavior question. [ABSTRACT FROM AUTHOR]

Published
2019
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2. Qualitative Properties of Nonnegative Solutions for a Doubly Nonlinear Problem with Variable Exponents.

Author

Chaouai, Zakariya and El Hachimi, Abderrahmane

Subjects
*NONLINEAR theories, *NONNEGATIVE matrices, *MATHEMATICAL variables, *EXPONENTS, *QUALITATIVE research
Abstract

We consider the Dirichlet initial boundary value problem ∂tum(x)-div⁡∇upx,t-2∇u=ax,tuq(x,t), where the exponents p(x,t)>1, q(x,t)>0, and m(x)>0 are given functions. We assume that a(x,t) is a bounded function. The aim of this paper is to deal with some qualitative properties of the solutions. Firstly, we prove that if ess⁡sup⁡p(x,t)-10, in the case where a(x,t)

Published
2018
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3. EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR ANISOTROPIC ELLIPTIC PROBLEMS WITH VARIABLE EXPONENT AND NONLINEAR ROBIN BOUNDARY CONDITIONS.

Author

ELLAHYANI, BRAHIM and EL HACHIMI, ABDERRAHMANE

Subjects
*EXISTENCE theorems, *MULTIPLICITY (Mathematics), *ELLIPTIC equations, *MATHEMATICAL variables, *NONLINEAR systems, *BOUNDARY value problems
Abstract

This article presents suffcient conditions for the existence of solutions of the anisotropic quasilinear elliptic equation with variable exponent and nonlinear Robin boundary conditions, -ΣNi=1φ/φxi (|φu/φxi)NΣi=1|u|pi(x)-2u + λ|u|m(x)-2u = γg(x,u) in Ω NΣi=1|φu/φxi|pi(x)-2 φu/φxi vi = μ|u|q(x-2)u on ∂Ω Under appropriate assumptions on the data, we prove some existence and multiplicity results. The methods are based on Mountain Pass and Fountain theorems. [ABSTRACT FROM AUTHOR]

Published
2017

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