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math.SP2026
The Faber-Krahn inequality for -Hermite operators
Xiaomei Sun, Kui Wang, Anqiang Zhu
We prove a Faber-Krahn inequality for the first eigenvalue of the -Hermite operator (the weighted -Laplacian with Gaussian weight) on Lipschitz domains in under Robin…
math.SP2026
An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures
Kui Wang, Xiaomei Sun, Anqiang Zhu
We prove a sharp isoperimetric inequality for the harmonic mean of the first nonzero Neumann eigenvalues of the Witten-Laplacian on origin-symmetric Lipschitz domains in space…
math.SP2026
Faber Krahn inequality of Robin eigenvalue of the Weighted Laplacian
Daguang Chen, Kui Wang, Anqiang Zhu
In this paper, we study the isoperimetric inequalities for the Robin eigenvalues of the weighted Laplacian with positive Robin parameter in the Euclidean space and the hyper…