《北京数学杂志》学术会议5月17日邀请报告——Harmonic Functions and Beyond
报告人：李岩岩 (Rutgers University)
时间：2024-05-17 09:00-10:00
地点：304am永利集团镜春园82号甲乙丙楼报告厅
报告摘要：A harmonic function of one variable is a linear function. A harmonic function of two variables is the real or imaginary part of an analytic function. A harmonic function of $n$ variables is a function $u$ satisfying $$\frac{\partial^2 u}{\partial x_1^2}+\cdots+\frac{\partial^2 u}{\partial x_n^2}=0.$$ We will frst recall some basic results on harmonic functions: the mean value property, the maximum principle, the Liouville theorem, the Harnack inequality, the Bôcher theorem, the capacity and removable singularities. We will then present a number of more recent results on some conformally invariant elliptic and degenerate elliptic equations arising from conformal geometry. These include results on Liouville theorems, Harnack inequalities, and Bôcher theorems.
