Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 84, pp. 1-6.

Title: Existence and uniqueness results of positive solutions
       for nonvariational quasilinear elliptic systems

Authors: Dimitrios A. Kandilakis  (Technical Univ. of Crete, Greece)
         Nikolaos E. Sidiropoulos (Technical Univ. of Crete, Greece)
	 
Abstract: 
 We provide conditions for the existence and uniqueness of positive
 solutions to the quasilinear elliptic system
 $$\displaylines{
 -\Delta _{p}u=f(x,u,v) \cr
 -\Delta _{q}v=g(x,u,v)
 }$$
 with Dirichlet boundary conditions on a bounded domain
 $\Omega \subseteq \mathbb{R}^N$.

Submitted April 6, 2006. Published July 27, 2006.
Math Subject Classifications: 35B50, 35D05, 35J55.
Key Words: Quasilinear elliptic system; nonvariational system;
           maximum principle; uniqueness; positive solution.