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A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere
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A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere
classification
math.AP
keywords
domainseigenvalueshemispherelaplace-beltramineumannoperatorcontainedestimate
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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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