Displaying similar documents to “Pseudo-monotonicity and degenerate elliptic operators of second order.”

Existence and uniqueness of solutions for some degenerate nonlinear elliptic equations

Albo Carlos Cavalheiro (2014)

Archivum Mathematicum

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In this article we are interested in the existence and uniqueness of solutions for the Dirichlet problem associated with the degenerate nonlinear elliptic equations Δ ( v ( x ) | Δ u | p - 2 Δ u ) - ∑ j = 1 n D j [ ω ( x ) 𝒜 j ( x , u , ∇ u ) ] = f 0 ( x ) - ∑ j = 1 n D j f j ( x ) , i n Ω in the setting of the weighted Sobolev spaces.

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).

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 , ∇ 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 * ) .