Strongly nonlinear degenerated elliptic unilateral problems via convergence of truncations.

Akdim, Youssef; Azroul, Elhoussine; Benkirane, Abdelmoujib

Displaying similar documents to “Strongly nonlinear degenerated elliptic unilateral problems via convergence of truncations.”

Strongly nonlinear degenerated unilateral problems with $L^{1}$ data.

Azroul, Elhoussine, Benkirane, Abdelmoujib, Filali, Ouidad (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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

Youssef Akdim, Elhoussine Azroul, Abdelmoujib Benkirane (2004)

Revista Matemática Complutense

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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).

On the spectrum of the $p$ -biharmonic operator.

El Khalil, Abdelouahed, Kellati, Siham, Touzani, Abdelfattah (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Existence of solutions for quasilinear degenerate elliptic equations.

Akdim, Y., Azroul, E., Benkirane, A. (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Existence of Solution for Quasilinear Degenerated Elliptic Unilateral Problems

Youssef Akdim, Elhoussine Azroul, Abdelmoujib Benkirane (2003)

Annales mathématiques Blaise Pascal

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An existence theorem is proved, for a quasilinear degenerated elliptic inequality involving nonlinear operators of the form $A u + g (x, u, \nabla u)$ , 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 $W^{- 1, p^{'}} (Ω, w^{*})$ .