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

DOI: 10.1186/1687-2770-2013-18

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Abstract:

This work is concerned with the entire positive solutions for a -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.

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