The Neumann problem of special Lagrangian type equations

主讲人：张德凯 上海大学讲师

时间：2024年3月30日16：00

地点：三号楼332室

举办单位：数理学院

主讲人介绍：张德凯博士主要从事非线性偏微分方程与几何分析的研究工作。博士毕业于中科大，2018.07-2021.07在复旦大学上海数学中心做博士后。相关研究成果接受或发表在JDG，JDE，JGA，Pacific J. Math.等期刊，曾入选上海市超级博士后资助，曾获国家自然科学基金青年基金和博士后基金。

内容介绍：The special Lagrangian equation is an fully nonlinear elliptic PDE, which arises from several important geometric problems. In this talk, we study the Neumann problem for special Lagrangian type equations with critical and supercritical phases. These equations naturally generalize the special Lagrangian equation and the k-Hessian equation. By establishing uniform a priori estimates up to the second order, we obtain the existence result.