An isoperimetric inequality for lower order Neumann eigenvalues in Gauss space
Abstract
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 Szeg\"o-Weinberger type inequality in Gauss space, as proved in [8, Theorem 4.1].
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