论文标题
平均曲率流的固定组和强迫术语
Stationary sets of the mean curvature flow with a forcing term
论文作者
论文摘要
我们考虑了平均曲率方程式的平坦流量方法，在欧几里得空间中强迫$ \ mathbb r^n $至少2个。我们的主要结果表明，在任何平坦的流动中，切向球在任何平坦的流动中，有界的强迫术语都会经历效率，从而使fusco coco contrancco contrancco contrancco，julin and Morini and Morini and Morinir caster contrence fachers Fercection。然后，与平面案例一样，我们能够以$ \ Mathbb r^n $中的固定套件来表征恒定强迫术语的固定套件，这是具有相互正距离的有限型球的有限联盟。
We consider the flat flow approach for the mean curvature equation with forcing in an Euclidean space $\mathbb R^n$ of dimension at least 2. Our main results states that tangential balls in $\mathbb R^n$ under any flat flow with a bounded forcing term will experience fattening, which generalizes the result by Fusco, Julin and Morini from the planar case to higher dimensions. Then, as in the planar case, we are able to characterize stationary sets in $\mathbb R^n$ for a constant forcing term as finite unions of equisized balls with mutually positive distance.
