Maximum principle and existence results for nonlinear cooperative systems on a bounded domain

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.

Keywords

• Maximum Principle
• elliptic systems
• p-Laplacian operator
• sub-super solutions
• approximation method