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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

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 W01,p(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-1,p'(Ω,ω*) or to L1(Ω).

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