Author

Zuoqin Wang

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Preprint Jul 2026

Spectral and Geometric Stability for the Reciprocal Sum of Neumann Eigenvalues

We establish quantitative stability for the reciprocal-sum isoperimetric inequality for the first $d$ nonzero Neumann eigenvalues, recently proved by He, Li, and Tang. We prove that for bounded Lipschitz domains in $\mathbb{R}^d$, the reciprocal-sum deficit controls quadratically both the normalized eigenvalue displace...

Yulong Li, Zuoqin Wang · 1 citation