Electron. J. Diff. Equ., Vol. 2011 (2011), No. 47, pp. 1-14.

Multiplicity of positive solutions for a Navier boundary-value problem involving the p-biharmonic with critical exponent

Ying Shen, Jihui Zhang

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 6, 2011.
Math Subject Classifications: 35J40, 35J67.
Key Words: p-biharmonic system; Navier condition; Nehari manifold; critical exponent.

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Ying Shen
Jiangsu Key Laboratory for NSLSCS
School of Mathematical Sciences
Nanjing Normal University, 210046, Jiangsu, China
email: shenying99@126.com
Jihui Zhang
Jiangsu Key Laboratory for NSLSCS
School of Mathematical Sciences
Nanjing Normal University, 210046, Jiangsu, China
email: jihuiz@jlonline.com

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