MAXIMUM PRINCIPLE AND EXISTENCE OF WEAK SOLUTIONS FOR NONLINEAR WEIGHTED P-LAPLACIAN SYSTEM ON RN
SALAH KHAFAGY *
Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt
HASSAN SERAG
Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt
*Author to whom correspondence should be addressed.
Abstract
In this work we give sucient conditions for having a maximum principle for nonlinear elliptic systems involving p-Laplacian operators with several weights on an unbounded domain. This principle is then used to yield solvability for the considered systems by an approximation method.
Keywords: Maximum principle, weak solution, nonlinear elliptic system, p-Laplacian