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

Autor: Benguria, Rafael D., Brandolini, Barbara, Chiacchio, Francesco
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $\mathbb{S}^N$.
Databáze: arXiv