Currently displaying 1 – 12 of 12

Showing per page

Order by Relevance | Title | Year of publication

Existence results for quasilinear degenerated equations via strong convergence of truncations.

Youssef Akdim;  Elhoussine Azroul;  Abdelmoujib Benkirane — 2004

Revista Matemática Complutense

In this paper we study the existence of solutions for quasilinear degenerated elliptic operators A(u) + g(x,u,∇u) = f, where A is a Leray-Lions operator from W (Ω,ω) into its dual, while g(x,s,ξ) is a nonlinear term which has a growth condition with respect to ξ and no growth with respect to s, but it satisfies a sign condition on s. The right hand side f is assumed to belong either to W(Ω,ω*) or to L(Ω).

Existence of Solution for Quasilinear Degenerated Elliptic Unilateral Problems

Youssef Akdim;  Elhoussine Azroul;  Abdelmoujib Benkirane — 2003

Annales mathématiques Blaise Pascal

An existence theorem is proved, for a quasilinear degenerated elliptic inequality involving nonlinear operators of the form A u + g ( x , u , ∇ u ) , where A is a Leray-Lions operator from W 0 1 , p ( Ω , w ) into its dual, while g ( x , s , ξ ) is a nonlinear term which has a growth condition with respect to ξ and no growth with respect to s , but it satisfies a sign condition on s , the second term belongs to W - 1 , p ′ ( Ω , w * ) .

Entropy solutions for nonlinear unilateral parabolic inequalities in Orlicz-Sobolev spaces

Azeddine Aissaoui Fqayeh;  Abdelmoujib Benkirane;  Mostafa El Moumni — 2014

Applicationes Mathematicae

We discuss the existence of entropy solution for the strongly nonlinear unilateral parabolic inequalities associated to the nonlinear parabolic equations ∂u/∂t - div(a(x,t,u,∇u) + Φ(u)) + g(u)M(|∇u|) = μ in Q, in the framework of Orlicz-Sobolev spaces without any restriction on the N-function of the Orlicz spaces, where -div(a(x,t,u,∇u)) is a Leray-Lions operator and Φ ∈ C ⁰ ( ℝ , ℝ N ) . The function g(u)M(|∇u|) is a nonlinear lower order term with natural growth with respect to |∇u|, without satisfying the sign...

Entropy solutions to parabolic equations in Musielak framework involving non coercivity term in divergence form

Mohamed Saad Bouh Elemine Vall;  Ahmed Ahmed;  Abdelfattah Touzani;  Abdelmoujib Benkirane — 2018

Mathematica Bohemica

We prove the existence of solutions to nonlinear parabolic problems of the following type: ∂ b ( u ) ∂ t + A ( u ) = f + div ( Θ ( x ; t ; u ) ) in Q , u ( x ; t ) = 0 on ∂ Ω × [ 0 ; T ] , b ( u ) ( t = 0 ) = b ( u 0 ) on Ω , where b : ℝ → ℝ is a strictly increasing function of class 𝒞 1 , the term A ( u ) = - div ( a ( x , t , u , ∇ u ) ) is an operator of Leray-Lions type which satisfies the classical Leray-Lions assumptions of Musielak type, Θ : Ω × [ 0 ; T ] × ℝ → ℝ is a Carathéodory, noncoercive function which satisfies the following condition: sup | s | ≤ k | Θ ( · , · , s ) | ∈ E ψ ( Q ) for all k > 0 , where ψ is the Musielak complementary function of Θ , and the second term f belongs to L 1 ( Q ) .

Page 1

Download Results (CSV)