论文标题
无限谐波电位的梯度流
The Gradient Flow of Infinity-Harmonic Potentials
论文作者
论文摘要
我们研究了平面凸环中$ \ infty $ harmonic功能的流线。我们包括凸多边形。流线可以满足的点是表征的:它们位于某些曲线上。该梯度沿着精简的界线(Infinity-ridge)之外的流线路有恒定的规范。
We study the streamlines of $\infty$-harmonic functions in planar convex rings. We include convex polygons. The points where streamlines can meet are characterized: they lie on certain curves. The gradient has constant norm along streamlines outside the set of meeting points, the infinity-ridge.