Graphical solutions to one-phase problems
数学专题报告
报告题目(Title)：Graphical solutions to one-phase problems
报告人(Speaker)：俞晖 (新加坡国立大学)
地点(Place)：后主楼1124
时间(Time)：2023 年 5月 23 日(周二), 13：30-14：30
邀请人(Inviter)：熊金钢
报告摘要
Free boundaries of solutions to the one-phase problem can have rich geometry. Such richness can be reduced by imposing the graphical condition.
In this talk, we show that if homogeneous minimizers are trivial in dimension k, then graphical solutions are trivial in dimension k+1. This works for both the classical one-phase problem as well as its thin counterpart.
This talk is based on a joint work with Max Engelstein (Minnesota) and Xavier Fernandez-Real (EPFL).
