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.
Benguria R.D., Brandolini B., Chiacchio F. (2020). A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 22(3), 1-9 [10.1142/S0219199719500184].
A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere
Brandolini B.;
2020-05-01
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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