On the nonexistence of a surface of constant mean curvature with finite area and prescribed rectifiable boundary
On the nonexistence of a surface of constant mean curvature with finite area and prescribed rectifiable boundary
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有限面积且规定可矫正边界的常平均曲率曲面不存在
DOI：
10.1007/bf00248159
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发表时间：
1969
影响因子：
2.5
通讯作者：
E. Heinz
中科院分区：
文献类型：
--
作者：
E. Heinz
设F*为r3中的闭合可整流约当曲线，设H为实参数。考虑向量函数x=~(w)=(x (w), y (w), z (w))（w= u+ iv）的集合s H)，具有以下性质：(a) x (w)属于C2 (B) nC~，其中B是单位圆盘ill < l，我们在B中有方程
Let F* be a closed rectifiable Jordan curve in R 3 and let H be a real parameter. Consider the set s H) of vector functions x=~(w)=(x (w), y (w), z (w))(w= u+ iv) with the following properties:(a) x (w) belongs to C2 (B) nC~ where B is the unit disk Iwl< l, and we have in B the equations