Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 82, pp. 1-18.

Title: Dirichlet problem for quasi-linear elliptic equations 
        
Authors: Azeddine Baalal (Faculte des Sciences Ain Chock, Maroc)
         Nedra BelHaj Rhouma (Inst. Prep. aux Etudes d'Ing. de Tunis, Tunisie)
         
Abstract: 
  We study  the Dirichlet Problem associated to the quasilinear
  elliptic problem
  $$
  -\sum_{i=1}^{n}\frac{\partial }{\partial x_i}\mathcal{A}_i(x,u(x),
  \nabla u(x))+\mathcal{B}(x,u(x),\nabla u(x))=0.
  $$
  Then we define a potential theory related to this problem and we
  show that the sheaf of continuous solutions satisfies the Bauer
  axiomatic theory.
     
Submitted April 9, 2002. Published October 2, 2002.
Math Subject Classifications: 31C15, 35B65, 35J60.
Key Words: Supersolution; Dirichlet problem; obstacle problem;
           nonlinear potential theory.