单位法向量的Reifenberg平坦性与振动性
Reifenberg Flatness and Oscillation of the Unit Normal Vector
摘要：
我们表明（在温和的拓扑假设下），单位法向量的小振荡意味着Reifenberg平坦。然后，我们将这一观察弦弧域的研究和定量版本的两相自由边界问题的调和测度以前研究的Kenig-托罗。
英文摘要：
We show (under mild topological assumptions) that small oscillation of the unit normal vector implies Reifenberg flatness. We then apply this observation to the study of chord-arc domains and to a quantitative version of a two-phase free boundary problem for harmonic measure previously studied by Kenig-Toro.
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