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

2018/09/15 by Rafael D. Benguria, Barbara Brandolini, Benguria, Rafael D. +3 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1809.05695

openalex publication_date 2018/09/15 · openalex created_date 2022/09/20 · openalex updated_date 2026/07/28

Abstract

Here we prove an isoperimetric inequality for the harmonic mean of the first\nN-1 non-trivial Neumann eigenvalues of the Laplace-Beltrami operator for\ndomains contained in a hemisphere of mathbbS^N.\n

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