On the Neumann Problem for Monge--Ampere type equations revisited
报告题目：On the Neumann Problem for Monge--Ampere type equations revisited
报告专家：蒋飞达（东南大学数学学院与丘成桐中心）
报告时间：2022年12月14日周三下午2:30--3:30
报告地点：腾讯会议：170-947-222，会议密码：1214
报告摘要：In this talk, we will study the classical solvability of the Neumann problem for Monge--Ampere type equations in Euclidean space, which has applications in the fully nonlinear Yamabe problem with prescribed boundary mean curvature in conformal geometry. The global second derivative estimates will be mainly discussed under a regularity condition of the matrix function. Both the nondegenerate and the degenerate cases will be covered.
专家简介：蒋飞达，东南大学数学学院与丘成桐中心教授，博士生导师，曾获得江苏省数学成就奖。研究兴趣包括完全非线性偏微分方程及其边值问题、最优质量传输问题和几何光学问题等。已主持完成国家自然科学基金项目2项、博士后科学基金项目2项、江苏省自然科学基金项目1项，目前正在主持一项国家自然科学基金面上项目。论文发表于Archive for Rational Mechanics and Analysis, Advances in Mathematics, Calculus of Variations and Partial Differential Equations, Communications in Partial Differential Equations等期刊。
邀请人：熊昌伟