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arXiv · 2610.20097

A note on the failure of Payne's inequality on manifolds with boundary

Davide Buoso·Vladimir Lotoreichik
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Abstract

We show that Payne's conjecture on the comparison between Dirichlet Laplacian eigenvalues and buckling eigenvalues does not hold on flat and hyperbolic cylindrical surfaces and on (round) hemispheres.

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Davide Buoso, Vladimir Lotoreichik. 2026-10-14. A note on the failure of Payne's inequality on manifolds with boundary. https://arxiv.org/abs/2610.20097

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