Extrinsic eigenvalues estimates for hypersurfaces in product spaces

DOI10.1007/s00009-020-01522-6zbMath1452.35124OpenAlexW2955253487MaRDI QIDQ2182746

Julien Roth

Publication date: 26 May 2020

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://hal-upec-upem.archives-ouvertes.fr/hal-02170872/file/upper-bounds-products.pdf

zbMATH Keywords

Reilly-type inequalityproduct manifoldsbiharmonic Steklov operatorsdivergence-type elliptic operatorsPaneitz-like operatorsSteklov-Wentzell operators

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral theory; eigenvalue problems on manifolds (58C40)

Cites Work

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• Reilly's type inequality for the Laplacian associated to a density related with shrinkers for MCF
• Some isoperimetric inequalities and eigenvalue estimates in weighted manifolds
• On the Eigenvalues of a Biharmonic Steklov Problem
• Differential operators cononically associated to a conformal structure.
• On the first Hodge eigenvalue of isometric immersions

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