报告人：毛井

时 间：2026-05-14 11:00:00

地 点：理科楼 L2620

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