Multiplicity of positive solutions for a semilinear p-Laplacian system with Sobolev critical exponent Original Research Article

In this paper, we study the semilinear p-Laplacian system with critical growth terms in bounded domains. By using the Nehari manifold and variational methods, we prove that the system has at least two positive solutions when the pair of the parameters (λ,μ)(λ,μ) belongs to a certain subset of R2R2.