积分变分的二次倾斜超度的衰减估计
Decay estimates for the quadratic tilt-excess of integral varifolds
摘要：
本文研究了欧几里得空间的开子集中任意维数的积分变分，其一阶变分由Radon测度或Lebesgue空间中的函数给出.点态衰减的二次倾斜过度的结果建立这些varifolds。在大多数情况下，结果是最佳的维数的varifold和勒贝格空间的指数，例如，如果varifold不是二维的。
英文摘要：
This paper concerns integral varifolds of arbitrary dimension in an open subset of Euclidean space with its first variation given by either a Radon measure or a function in some Lebesgue space. Pointwise decay results for the quadratic tilt-excess are established for those varifolds. The results are optimal in terms of the dimension of the varifold and the exponent of the Lebesgue space in most cases, for example if the varifold is not two-dimensional.
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