Existence and multiplicity results for critical growth polyharmonic elliptic systems |
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| Authors: | Dengfeng Lü |
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| Institution: | School of Mathematics and Statistics, Hubei Engineering University, , Hubei, 432000 China |
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| Abstract: | 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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| Keywords: | polyharmonic elliptic system homogeneous function Sobolev critical exponent multiple solutions |
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