Isoperimetry with upper mean curvature bounds and sharp stability estimates
Isoperimetry with upper mean curvature bounds and sharp stability estimates
复制标题
具有平均曲率上限和尖锐稳定性估计的等周测量
DOI：
10.1007/s00526-017-1139-3
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发表时间：
2016
影响因子：
2.1
通讯作者：
F. Maggi
中科院分区：
文献类型：
--
作者：
B. Krummel;F. Maggi
阿尔姆格伦证明，在平均曲率以上方为界的边界中，周长唯一被球最小化。我们获得了阿尔姆格伦等周原理的清晰稳定性估计，并且作为应用，我们推导出在总周长边界下具有几乎恒定平均曲率的边界的清晰描述，以防止冒泡。
It was proved by Almgren that among boundaries whose mean curvature is bounded from above, perimeter is uniquely minimized by balls. We obtain sharp stability estimates for Almgren’s isoperimetric principle and, as an application, we deduce a sharp description of boundaries with almost constant mean curvature under a total perimeter bound which prevents bubbling.