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arXiv · 1809.05695

A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere

Rafael D. Benguria·Barbara Brandolini·Francesco Chiacchio
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Abstract

Here we prove an isoperimetric inequality for the harmonic mean of the first $N-1$ non-trivial Neumann eigenvalues of the Laplace-Beltrami operator for domains contained in a hemisphere of $\mathbb{S}^N$.

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Rafael D. Benguria, Barbara Brandolini, Francesco Chiacchio. 2018-09-15. A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere. https://arxiv.org/abs/1809.05695

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