Estimates for eigenvalues of the Neumann and Steklov problems
Abstract: 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.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Estimates for eigenvalues of the Neumann and Steklov problems ; volume:12 ; number:1 ; year:2023 ; extent:12
Advances in nonlinear analysis ; 12, Heft 1 (2023) (gesamt 12)
- Urheber
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Du, Feng
Mao, Jing
Wang, Qiaoling
Xia, Changyu
Zhao, Yan
- DOI
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10.1515/anona-2022-0321
- URN
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urn:nbn:de:101:1-2023072414033558124164
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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14.08.2025, 10:44 MESZ
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Beteiligte
- Du, Feng
- Mao, Jing
- Wang, Qiaoling
- Xia, Changyu
- Zhao, Yan
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