바카라 홍보题目：On The Planar Gaussian-Minkowski Problem

报 告 人： 胡胜男 博士

바카라 홍보时间：2024年1月22日上午10:00-

바카라 홍보地点：格物楼数学研究中心 528바카라 홍보厅

바카라 홍보摘要： The current work focuses on the Gaussian-Minkowski problem in dimension 2. In particular, we show that if the Gaussian surface area measure is proportional to the spherical Lebesgue measure, then the corresponding convex body has to be a centered disk. As an application, this “uniqueness” result is used to prove the existence of smooth small solutions to the Gaussian-Minkowski problem via a degree-theoretic approach.

바카라 홍보人简介：胡胜男，中国科学技术大学数学科学学院博士研究生，致力于偏微分方程方向的研究，主要围绕凸几何里面的Minkowski型问题，其研究结果已在《Advances in Mathematics》、《Calculus of Variations and Partial Differential Equations》、《Journal of Differential Equations》等国际著名期刊上发表。