Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 82, pp. 1-13.

Title: Maximum principle and existence results for nonlinear cooperative
       systems on a  bounded domain
       
Authors: Liamidi Leadi    (Univ. d'Abomey Calavi, Benin)
         Aboubacar Marcos (Univ. d'Abomey Calavi, Benin)

Abstract:
 In this work we give necessary and sufficient conditions for
 having a maximum principle for cooperative elliptic
 systems involving p-Laplacian operator on a bounded domain.
 This principle is then used to yield solvability for the considered
 cooperative elliptic systems by an approximation method.

Submitted November 11, 2010. Published June 24, 2011.
Math Subject Classifications: 35B50, 35J57, 35J60
Key Words: Maximum Principle; elliptic systems;  p-Laplacian operator;
           sub-super solutions; approximation method.