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

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.

Keywords

• Principal and nonprincipal eigenvalues
• elliptic systems
• p-Laplacian operator
• approximation method