Abstract Both optimal transport and minimal surfaces have received much attention in recent years. We show that the methodology introduced by Kantorovich on the Monge problem can, surprisingly, be adapted to questions involving least area, e.g., Plateau-type problems as investigated by Federer.

中文翻译：

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最优运输视角下的高原问题

摘要 近年来，最优输运和最小表面都受到了广泛关注。我们表明，Kantorovich 在 Monge 问题上引入的方法可以令人惊讶地适用于涉及最小面积的问题，例如 Federer 研究的高原类型问题。