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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 × R. Examples of equality cases are given.
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Dates and versions

hal-02170872 , version 1 (02-07-2019)

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  • HAL Id : hal-02170872 , version 1

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Julien Roth. EXTRINSIC EIGENVALUES ESTIMATES FOR HYPERSURFACES IN PRODUCT SPACES. 2019. ⟨hal-02170872⟩
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