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Extrinsic Eigenvalues Estimates for Hypersurfaces in Product Spaces

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Abstract

We prove extrinsic upper bounds for the first eigenvalue of second order operator of divergence type as well as for Paneitz-like operators and two generalized Steklov problems on hypersurfaces of product spaces \(N\times {\mathbb {R}}\). Examples of equality cases are given.

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  1. Laboratoire d’Analyse et de Mathématiques Appliquées, UGE-UPEC, CNRS, 77454, Marne-la-Vallée, France

    Julien Roth

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  1. Julien Roth
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Roth, J. Extrinsic Eigenvalues Estimates for Hypersurfaces in Product Spaces. Mediterr. J. Math. 17, 84 (2020). https://doi.org/10.1007/s00009-020-01522-6

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  • DOI: https://doi.org/10.1007/s00009-020-01522-6

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