Akdim, Y.Azroul, E.Benkirane, A.2020-01-072020-01-072001-11-26Akdim, Y., Azroul, E., & Benkirane, A. (2001). Existence of solutions for quasilinear degenerate elliptic equations. <i>Electronic Journal of Differential Equations, 2000</i>(71), pp. 1-19.1072-6691https://hdl.handle.net/10877/9151In this paper, we study the existence of solutions for quasilinear degenerate elliptic equations of the form A(u) + g(x, u, ∇u) = h, where A is a Leray-Lions operator from W1,p0 (Ω, w) to its dual. On the nonlinear term g(x, s, ξ), we assume growth conditions on ξ, not on s, and a sign condition on s.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalWeighted Sobolev spacesHardy inequalityQuasilinear degenerate elliptic operatorsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.