A TWO-PHASE FREE BOUNDARY PROBLEM FOR HARMONIC MEASURE

被引：0
|
作者：
Engelstein, Max [1 ]
机构：
[1] Univ Chicago, Dept Math, 5734 S Univ Ave, Chicago, IL 60637 USA
来源：
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2016年 / 49卷 / 04期
关键词：
REGULARITY; SETS; POLYNOMIALS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a 2-phase free boundary problem for harmonic measure first considered by Kenig and Toro [21] and prove a sharp Holder regularity result. The central difficulty is that there is no a priori non-degeneracy in the free boundary condition. Thus we must establish non-degeneracy by means of monotonicity formulae.
引用
收藏
页码：859 / 905
页数：47
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