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math.AP2024
Brock-type isoperimetric inequality for Steklov eigenvalues of the Witten-Laplacian
Jing Mao, Shijie Zhang
In this paper, by imposing suitable assumptions on the weighted function, (under the constraint of fixed weighted volume) a Brock-type isoperimetric inequality for Steklov-type eig…
math.AP2024
Several isoperimetric inequalities of Dirichlet and Neumann eigenvalues of the Witten-Laplacian
Ruifeng Chen, Jing Mao
In this paper, by mainly using the rearrangement technique and suitably constructing trial functions, under the constraint of fixed weighted volume, we can successfully obtain seve…
math.AP2024
On the Ashbaugh-Benguria type conjecture about lower-order Neumann eigenvalues of the Witten-Laplacian
Ruifeng Chen, Jing Mao
An isoperimetric inequality for lower order nonzero Neumann eigenvalues of the Witten-Laplacian on bounded domains in a Euclidean space or a hyperbolic space has been proven in thi…