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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…