On the oriented Plateau Problem
On the oriented Plateau Problem
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DOI：
10.1007/bf02849427
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发表时间：
1962
影响因子：
1
通讯作者：
W. Fleming
中科院分区：
文献类型：
--
作者：
W. Fleming
如果X= R”（如本文中通常的情况），则省略对X的引用。由W-紧性和质量的下连续性直接得到了以给定的积分（k-1）-圈为边界的最小质量流的存在性。主要问题是发现最小电流的局部结构。
If X= R"(as is usually the case in this paper), then reference to X is omitted. The existence of a current of least mass with a given integral (k--1)-cycle as boundary is immediate from the W-compactness property mentioned above and lower semicontinuity of mass. The main problem is to discover the local structure of minimal currents.