Research Article
Existence and multiplicity results for critical growth polyharmonic elliptic systems
Dengfeng Lü,
Corresponding Author
Dengfeng Lü
School of Mathematics and Statistics, Hubei Engineering University, Hubei, 432000 China
Correspondence to: Dengfeng Lü, School of Mathematics and Statistics, Hubei Engineering University, Hubei 432000, China.
E-mail: [email protected]
Search for more papers by this authorDengfeng Lü,
Corresponding Author
Dengfeng Lü
School of Mathematics and Statistics, Hubei Engineering University, Hubei, 432000 China
Correspondence to: Dengfeng Lü, School of Mathematics and Statistics, Hubei Engineering University, Hubei 432000, China.
E-mail: [email protected]
Search for more papers by this authorAbstract
In the present paper, we deal with the existence and multiplicity of nontrivial solutions for a class of polyharmonic elliptic systems with Sobolev critical exponent in a bounded domain. Some new existence and multiplicity results are obtained. Our proofs are based on the Nehari manifold and Ljusternik–Schnirelmann theory. Copyright © 2013 John Wiley & Sons, Ltd.
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