Estimates for eigenvalues of the Neumann and Steklov problems
We prove Li-Yau-Kröger-type bounds for Neumann-type eigenvalues of the biharmonic operator on bounded domains in a Euclidean space. We also prove sharp estimates for lower order eigenvalues of a biharmonic Steklov problem and of the Laplacian, which directly implies two sharp Reilly-type inequalitie...
| 出版年: | Advances in Nonlinear Analysis |
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| 主要な著者: | , , , , |
| フォーマット: | 論文 |
| 言語: | 英語 |
| 出版事項: |
De Gruyter
2023-07-01
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| 主題: | |
| オンライン･アクセス: | https://doi.org/10.1515/anona-2022-0321 |
| 要約: | We prove Li-Yau-Kröger-type bounds for Neumann-type eigenvalues of the biharmonic operator on bounded domains in a Euclidean space. We also prove sharp estimates for lower order eigenvalues of a biharmonic Steklov problem and of the Laplacian, which directly implies two sharp Reilly-type inequalities for the corresponding first nonzero eigenvalue. |
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| ISSN: | 2191-950X |