Baalal, AzeddineRhouma, Nedra BelHaj2020-08-182020-08-182002-10-02Baalal, A., Rhouma, N. B. (2002). Dirichlet problem for quasi-linear elliptic equations. <i>Electronic Journal of Differential Equations, 2002</i>(82), pp. 1-18.1072-6691https://hdl.handle.net/10877/12415We study the Dirichlet Problem associated to the quasilinear elliptic problem -Σni=1 ∂/ ∂xi Ai(x, u(x), ∇u(x)) + B(x, u(x), ∇u(x)) = 0. Then we define a potential theory related to this problem and we show that the sheaf of continuous solutions satisfies the Bauer axiomatic theory.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalSupersolutionDirichlet problemObstacle problemNonlinear potential theoryArticle