报告人：毛井（湖北大学）

时间：5月27日，10:30-11:30

地点：2307

题目：Several isoperimetric inequalities of Dirichlet and Neumann eigenvalues of the Witten-Laplacian 

摘要：

In this talk, by mainly using the rearrangement technique and suitably constructing trial functions, under the constraint of flxed weighted volume, we can successfully obtain several isoperimetric inequalities for the flrst and the second Dirichlet eigenvalues, the flrst nonzero Neumann eigenvalue of the Witten-Laplacian on bounded domains in space forms. These spectral isoperimetric inequalities extend those classical ones (i.e. the Faber-Krahn inequality, the Hong-Krahn-Szeg}o inequality and the Szeg}o-Weinberger inequality) of the Laplacian. This talk is mainly based on a joint-work with my doctoral student Ruifeng Chen.