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The sharp estimates for the first eigenvalue of Paneitz operator on 4-dimensional submanifolds - MaRDI portal

The sharp estimates for the first eigenvalue of Paneitz operator on 4-dimensional submanifolds

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Publication:6221262

arXiv1010.3102MaRDI QIDQ6221262

Daguang Chen, Haizhong Li

Publication date: 15 October 2010

Abstract: In this note, we obtain the sharp estimates for the first eigenvalue of Paneitz operator for 4-dimensional compact submanifolds in Euclidean space. Since unit spheres and projective spaces can be canonically imbedded into Euclidean space, the corresponding estimates for the first eigenvalue are also obtained.












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