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

Authors:	Ying Shen Jihui Zhang

Affiliation:	Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, 210046, Jiangsu, PR China

Abstract:	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) belongs to a certain subset of R².

Keywords:	Semilinear p-Laplacian system Nehari manifold Sobolev critical exponent
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