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Upper bounds for the ratio of the first two eigenvalues of the Robin Laplacian

Dai, Guowei et al.
arXiv (All) · Papers
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analysis-of-pdes
We sharpen upper bounds for the ratio of the first two Robin eigenvalues by matching the first eigenvalue on a comparison ball with an independently chosen boundary parameter. The bound depends on the interior superlevel sets of the first eigenfunction and improves the fixed-parameter comparison. Fo
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