TY - JOUR T1 - Maximum Principle for Nonlinear Cooperative Elliptic Systems on RN JO - Journal of Partial Differential Equations VL - 3 SP - 264 EP - 280 PY - 2011 DA - 2011/08 SN - 24 DO - http://doi.org/10.4208/jpde.v24.n3.3 UR - https://global-sci.org/intro/article_detail/jpde/5209.html KW - Elliptic systems KW - p-Laplacian operator KW - principal eigenvalues KW - Leray-Schauder fixed point KW - approximation method AB -

We investigate in this work necessary and sufficient conditions for having a Maximum Principle for a cooperative elliptic system on the whole R^N. Moreover, we prove the existence of solutions by an approximation method for the considered system.