数苑经纬讲坛（69）：Global and Exterior Solutions to the Minimal Surface Equation
来源：
发布时间：2026-03-03
报告时间：- 2026年3月12日（周四）16:00-17:00
- 报告地点：
- 国交2号楼315会议室
- 报告人：
- 韩青
- 报告人单位：
- 美国圣母大学
- 邀请人：
- 唐岚
- 摘要：
- A characterization of global solutions to the minimal surface equation has been known by the efforts of Bernstein (1914), De Giorgi (1965), Almgren (1966), Simons (1968), and Bombieri, De Giorgi, and Giusti (1969). In this talk, we first review relevant results. Then, we switch to exterior solutions and aim to present a complete characterization of solutions to the minimal surface equation near infinity. It is well-known that Dirichlet boundary value problems in exterior domains do not always admit solutions. We demonstrate that prescribing asymptotic behaviors forms a new type of problems leading to all solutions near infinity. The harmonic functions determining the asymptotic behaviors play the role of “free data” as the boundary values in the boundary value problems.
韩青（美国圣母大学）
