Electronic Journal of Differential Equations, Vol. 2011 (2011), No. 47, pp. 1-14. Title: Multiplicity of positive solutions for a Navier boundary-value problem involving the p-biharmonic with critical exponent Authors: Ying Shen (Nanjing Normal Univ., Jiangsu, China) Jihui Zhang (Nanjing Normal Univ., Jiangsu, China) Abstract: By using the Nehari manifold and variational methods, we prove that a p-biharmonic system has at least two positive solutions when the pair the parameters satisfy certain inequality. Submitted December 18, 2010. Published April 06, 2011. Math Subject Classifications: 35J40, 35J67. Key Words: p-biharmonic system; Navier condition; Nehari manifold; critical exponent.