Author

Kui Wang

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Preprint Sep 2026

The Faber-Krahn inequality for $p$-Hermite operators

We prove a Faber-Krahn inequality for the first eigenvalue of the $p$-Hermite operator (the weighted $p$-Laplacian with Gaussian weight) on Lipschitz domains in $\R^n$ under Robin boundary conditions with positive Robin parameter. The main result states that, among all domains of given Gaussian measure, the first eigen...

Xiaomei Sun, Kui Wang, An-Qiang Zhu · 0 citations

Preprint Jul 2026

Faber Krahn inequality of Robin eigenvalue of the Weighted Laplacian

In this paper, we study the isoperimetric inequalities for the Robin eigenvalues of the weighted Laplacian with positive Robin parameter in the Euclidean space $\R^n$ and the hyperbolic space $\mathbb{H}^n$, respectively. More precisely, we prove that among all bounded Lipschitz domains with fixed weighted volume, the...

Daguang Chen, Kui Wang, An-Qiang Zhu · 0 citations

Preprint Aug 2026

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures

We prove a sharp isoperimetric inequality for the harmonic mean of the first $n$ nonzero Neumann eigenvalues of the Witten-Laplacian on origin-symmetric Lipschitz domains in space forms, endowed with radial log-concave measures. The main novelty is that we establish the sharp harmonic mean inequality under general radi...

Kui Wang, Xiaomei Sun, An-Qiang Zhu · 0 citations