论文标题
（自由边界）Reifenberg高原问题的解决方案
Solutions of the (free boundary) Reifenberg Plateau problem
论文作者
论文摘要
我们为所有系数组解决了Reifenberg问题的两个变体。我们执行了变异的积分的直接方法，并将溶液作为最小化序列的弱极限进行搜索。 De Lellis，de Philippis，de Rosa，Ghiraldin和Maggi引入了此策略，并允许他们解决Reifenberg问题。我们使用类似的策略，可以考虑自由边界。此外，我们表明Reifenberg类在弱收敛下关闭，而无需限制系数组。
We solve two variants of the Reifenberg problem for all coefficient groups. We carry out the direct method of the calculus of variation and search a solution as a weak limit of a minimizing sequence. This strategy has been introduced by De Lellis, De Philippis, De Rosa, Ghiraldin and Maggi and allowed them to solve the Reifenberg problem. We use an analogous strategy which allows to take into account the free boundary. Moreover, we show that the Reifenberg class is closed under weak convergence without restriction on the coefficient group.
