Here we prove an isoperimetric inequality for the harmonic mean of the first N −1 nontrivial Neumann eigenvalues of the Laplace-Beltrami operator for domains contained in a hemisphere of $mathbb{S}^N$.
A SHARP ESTIMATE FOR NEUMANN EIGENVALUES OF THE LAPLACE-BELTRAMI OPERATOR FOR DOMAINS IN A HEMISPHERE / Benguria, Rafael D.; Brandolini, Barbara; Chiacchio, Francesco. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - 22:3(2020), pp. 1-9. [10.1142/S0219199719500184]
A SHARP ESTIMATE FOR NEUMANN EIGENVALUES OF THE LAPLACE-BELTRAMI OPERATOR FOR DOMAINS IN A HEMISPHERE
Barbara Brandolini;Francesco Chiacchio
2020
Abstract
Here we prove an isoperimetric inequality for the harmonic mean of the first N −1 nontrivial Neumann eigenvalues of the Laplace-Beltrami operator for domains contained in a hemisphere of $mathbb{S}^N$.File in questo prodotto:
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