Benali, AharrouchJaouad, Bennouna2021-10-052021-10-052020-10-12Benali, A., & Jaouad, B. (2020). Nonlinear degenerate elliptic equations in weighted Sobolev spaces. <i>Electronic Journal of Differential Equations, 2020</i>(105), pp. 1-15.1072-6691https://hdl.handle.net/10877/14612We study the existence of solutions for the nonlinear degenerated elliptic problem -div α(x, u, ∇u) = ƒ in Ω u = 0 on ∂Ω, where Ω is a bounded open set in ℝN, N ≥ 2, α is a Carathéodory function having degenerate coercivity α(x, u, ∇u)∇u ≥ v(x)b(|u|)|∇u|p, 1 < p < N, v(∙) is the weight function, b is continuous and ƒ ∈ Lr(Ω).Text15 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear degenerated elliptic operatorsWeighted Sobolev spaceMonotony and rearrangement methodsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.