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

Abstract

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.

Keywords

• Sobolev critical exponent
• Neumann boundary
• Positive solution
• p-Laplacian system