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The existence of positive solutions for the Neumann problem of p-Laplacian elliptic systems with Sobolev critical exponent

The existence of positive solutions for the Neumann problem of p-Laplacian elliptic systems with Sobolev critical exponent

Abstract The paper aims to consider a class of p -Laplacian elliptic systems with a double Sobolev critical exponent. We obtain the existence result of the above problem under the Neumann boundary for some suitable range of the parameters in the systems.