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REILLY-TYPE INEQUALITIES FOR PANEITZ AND STEKLOV EIGENVALUES

Abstract : We prove Reilly-type upper bounds for different types of eigen-value problems on submanifolds of Euclidean spaces with density. This includes the eigenvalues of Panetiz-like operators as well as three types of generalized Steklov problems. In the case without density, the equality cases are discussed and we prove some stability results for hypersurfaces which derive from a general pinching result about the moment of inertia.
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https://hal.archives-ouvertes.fr/hal-01539128
Contributor : Julien Roth Connect in order to contact the contributor
Submitted on : Wednesday, June 14, 2017 - 2:42:07 PM
Last modification on : Saturday, January 15, 2022 - 4:03:28 AM
Long-term archiving on: : Tuesday, December 12, 2017 - 5:57:40 PM

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  • HAL Id : hal-01539128, version 1

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Julien Roth. REILLY-TYPE INEQUALITIES FOR PANEITZ AND STEKLOV EIGENVALUES. 2017. ⟨hal-01539128⟩

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