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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.

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