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Bibliographic Details
Main Authors: Gao, Yi, Wang, Kui
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.15813
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Table of Contents:
  • We prove a sharp isoperimetric inequality for the harmonic mean of the first $m-1$ nonzero Neumann eigenvalues for bounded Lipschitz domains symmetric about the origin in Gauss space. Our result generalizes the Szegö-Weinberger type inequality in Gauss space, as proved in [8, Theorem 4.1].