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<p>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 pseudo-differential operators.</p>

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Some New Eigenvalue Upper Bounds for Euclidean Hypersurfaces

  • 期刊论文

  • 发表日期：

    2025年10月3日

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  • Julien Roth

摘要

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 pseudo-differential operators.