题    目：The Lp Brunn-Minkowski inequalities for variational functionals with 0≤p<1

主讲人：胡津容

单    位：奥地利维也纳技术大学(TU Wien)

时    间：2025年6月24日 14:30

腾讯ID：821-613-958

密    码：0624

摘    要：The infinitesimal forms of the Lp-Brunn-Minkowski inequalities for variational functionals, such as the q-capacity, torsional rigidity, and the first eigenvalue of the Laplace operator, are investigated for p≥0. These formulations yield Poincare-type inequalities related to these functionals. As an application, the Lp-Brunn-Minkowski inequalities for torsional rigidity with 0≤p<1 are confirmed for small smooth perturbations of the unit ball.

简    介：奥地利维也纳技术大学（TU Wien）博士后，主要从事凸几何、偏微分方程以及几何流的研究。2024年在湖南大学获得博士学位。学术论文发表在 Int. Math. Res. Not. , J. Funct. Anal. , J. Differential Equations, J. Geom. Anal., Proc. Amer. Math. Soc.等国际学术期刊上。