Strongly nonlinear degenerated elliptic unilateral problems via convergence of truncations.
Akdim, Youssef, Azroul, Elhoussine, Benkirane, Abdelmoujib (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Strongly nonlinear degenerated elliptic unilateral problems via convergence of truncations.
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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).
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