A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere
Analysis of PDEs
2018-09-18 v1
Abstract
Here we prove an isoperimetric inequality for the harmonic mean of the first non-trivial Neumann eigenvalues of the Laplace-Beltrami operator for domains contained in a hemisphere of .
Keywords
Cite
@article{arxiv.1809.05695,
title = {A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere},
author = {Rafael D. Benguria and Barbara Brandolini and Francesco Chiacchio},
journal= {arXiv preprint arXiv:1809.05695},
year = {2018}
}