3 papers
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.CA2026
A note on the first variation of the total mass
Xiaomei Sun, Anqiang Zhu
In this paper, we establish a proof for the first variation formula of the total mass within the framework. Our main result removes an extra restrictive determinant condition…