Solutions to the Minimal Surface Equation and the Monge-Ampere Equation near infinity
数学专题报告
报告题目(Title)：Solutions to the Minimal Surface Equation and the Monge-Ampere Equation near infinity
报告人(Speaker)：Qing Han (University of Notre Dame)
地点(Place)：后主楼1223
时间(Time)：2025年10月10日 （周五）14：30-15：30
邀请人(Inviter)：熊金钢
报告摘要
In this talk, we discuss parametrization of solutions to the minimal surface equation and the Monge-Ampere equation near infinity by harmonic functions. 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.
