An isoperimetric inequality for lower order Neumann eigenvalues in Gauss space
Spectral Theory
2026-01-23 v5 Analysis of PDEs
Abstract
We prove a sharp isoperimetric inequality for the harmonic mean of the first nonzero Neumann eigenvalues for bounded Lipschitz domains symmetric about the origin in Gauss space. Our result generalizes the Szeg\"o-Weinberger type inequality in Gauss space, as proved in [8, Theorem 4.1].
Cite
@article{arxiv.2503.15813,
title = {An isoperimetric inequality for lower order Neumann eigenvalues in Gauss space},
author = {Yi Gao and Kui Wang},
journal= {arXiv preprint arXiv:2503.15813},
year = {2026}
}
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