2004-Fez conference on Differential Equations and Mechanics.
Electronic Journal of Differential Equations,
Conference 11, 2004, pp. 1-10. 

Title: Existence and regularity of entropy solutions for some 
       nonlinear elliptic equations

Authors: Lahsen Aharouch (Faculte des Sciences Dhar-Mahraz, Maroc)
  Elhoussine Azroul (Faculte des Sciences Dhar-Mahraz, Maroc)
 
Abstract: 
 This paper concerns the existence and regularity of entropy solutions
 to the Dirichlet problem
 $$\displaylines{
 Au = -\mathop{\rm div} (a(x, u, \nabla u)) 
 = f - \mathop{\rm div}\phi(u) \quad  \hbox{in }\Omega \cr
 u = 0 \quad \hbox{on } \partial \Omega.
 }$$
 In particular, we show the $L^{{\bar q}}$-regularity
 of the solution to this boundary-value problem.

Published October 15, 2004.
Math Subject Classifications: 35J60.
Key Words: Orlicz Sobolev spaces; boundary value problems; 
           Entropy solution.