The aim of this short note is to extend the recent variational proof of partial regularity for optimal transport maps to the case of continuous densities.

中文翻译：

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$ \ varepsilon $-正则性结果可得到连续密度之间的最佳传输图

此简短说明的目的是将最近针对最佳运输图的局部规则性的变分证明扩展到连续密度的情况。