Youssfi, Ahmed2021-08-062021-08-062007-04-10Youssfi, A. (2007). Existence of bounded solutions for nonlinear degenerate elliptic equations in Orlicz spaces. <i>Electronic Journal of Differential Equations, 2007</i>(54), pp. 1-13.1072-6691https://hdl.handle.net/10877/14215We prove the existence of bounded solutions for the nonlinear elliptic problem -div α(x, u, ∇u) = ƒ in Ω, with u ∈ W1 0 LM(Ω) ∩ L∞(Ω), where α(x, s, ξ) ∙ ξ ≥ M̄-1 M(h(|s|))M(|ξ), and h : ℝ+ →]0, 1] is a continuous monotone decreasing function with unbounded primitive. As regards the N-function M, no Δ2-condition is needed.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalOrlicz-Sobolev spacesDegenerate coercivityL-infity-estimatesRearrangementsArticle