Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 60, pp. 1-13.

Title: Maximum principle and existence results for elliptic systems on R^N

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 the whole $\mathbb{R}^{N}$.
 This principle is then used to yield solvability  for the
 cooperative elliptic systems by an approximation method.
 
Submitted June 5, 2009. Published May 05, 2010.
Math Subject Classifications: 35B50, 35J20, 35J55.
Key Words: Principal and nonprincipal eigenvalues; elliptic systems;
           p-Laplacian operator; approximation method.