题目：Power convexity of solution to special Lagrangian equation in dimension two
报告人：张伟（兰州大学）
时间：5月10日15:00-16:00
地点：36-507
摘要：In this talk, we will discuss power convexity result of solution to Dirichlet problem of special Lagrangian equation in dimension two. This provides new example of fully nonlinear elliptic boundary value problem whose solution shares power convexity property previously only knew for 2-Hessian equation in dimension three. The key ingredients consist of microscopic convexity principles and deformation methods. We will also review several open problems in this direction.
报告人简介：张伟，兰州大学数学与统计学院副教授。于2011年在中国科学技术大学获得基础数学方向博士学位，主要研究领域为几何非线性偏微分方程，特别是与水平集凸性相关的一些问题。先后主持完成国家自然科学基金青年项目和面上项目各一项，部分研究成果发表在Comm. Pure Appl. Math.、Journal Funct. Anal.、J. Differtial Equations、Proc. Amer. Math. Soc. 等国际学术期刊。
