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A lower bound for
eigenvalues of the poly-Laplacian with arbitrary order
Qing-Ming Cheng, Xuerong Qi and Guoxin Wei |
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Vol. 262 (2013), No. 1, 35–47
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Abstract |
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We study eigenvalues of the poly-Laplacian of arbitrary order on a bounded domain in an n-dimensional Euclidean space. We obtain a lower bound for these eigenvalues, significantly improving on that of Levine and Protter. In particular, the result of Melas (2003) is subsumed. |
Keywords
eigenvalue problem, lower bound for eigenvalues,
poly-Laplacian with arbitrary order
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Mathematical Subject Classification 2010
Primary: 35P15
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Milestones
Received: 14 December 2010
Accepted: 22 October 2012
Published: 27 March 2013
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Authors |
| Qing-Ming Cheng | |
| Department of Applied
Mathematics Faculty of Sciences Fukuoka University Fukuoka 814-0180 Japan |
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| Xuerong Qi | |
| Department of Mathematics Zhengzhou University 450001 Zhengzhou China |
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| Guoxin Wei | |
| School of Mathematical
Sciences South China Normal University 510631 Guangzhou China |
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