Existence and nonexistence of entire positive solutions for (p, q)-Laplacian elliptic system with a gradient term

Abstract

This work is concerned with the entire positive solutions for a (p, q)-Laplacian elliptic system of equations with a gradient term. We find the sufficient condition for nonexistence of entire large positive solutions and existence of infinitely many entire solutions, which are large or bounded. © 2013 Fang and Yi; licensee Springer.