SOME NEW EIGENVALUE UPPER BOUNDS FOR EUCLIDEAN HYPERSURFACES

We first prove a new lower bound for the moment of inertia of a hypersurface of the Euclidean space. Then, using it, we derive some new upper bounds for the first eigenvalue of a wide class of differential and pseudodifferential operators.

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Bibliographic Details
Published inAnnali di matematica pura ed applicata Vol. 204; no. 1; pp. 307 - 326
Main Authors Roth, Julien, Upadhyay, Abhitosh
Format Journal Article
LanguageEnglish
Published Springer Verlag 14.07.2024
Subjects
Mathematics
2010 Mathematics Subject Classification. 53C42 53A07 49Q10
2010 Mathematics Subject Classification. 53C42
53A07
49Q10
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Summary:We first prove a new lower bound for the moment of inertia of a hypersurface of the Euclidean space. Then, using it, we derive some new upper bounds for the first eigenvalue of a wide class of differential and pseudodifferential operators.
ISSN:0373-3114
1618-1891
DOI:10.1007/s10231-024-01485-5