Rafael D. Benguria, Barbara Brandolini, Francesco Chiacchio
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 N.
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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 N.
Key concepts: Mathematics, Laplace–Beltrami operator, Eigenvalues and eigenvectors, Eigenfunction, Operator (biology), Laplace operator, Isoperimetric inequality, Mathematical analysis