On the plateau problem for surfaces of constant mean curvature
On the plateau problem for surfaces of constant mean curvature
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DOI：
10.1002/cpa.3160230105
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发表时间：
1970
影响因子：
3
通讯作者：
S. Hildebrandt
中科院分区：
文献类型：
--
作者：
S. Hildebrandt
在不失一般性的情况下，我们总是可以假定r包含在关于E3原点的单位球中。用这种方式规范了问题之后，E.海因茨在[3]中给出了一个存在性证明，条件是（HI<+（%' %-1）.稍后，H。Werner [14]成功地加强了海因茨的考虑，使之达到了1HI<fr的存在性。最近，我们在[6]中发展了一个新的过程
Without loss of generality, one can always assume r to be contained in the unit ball about the origin of E3. Having normed the problem in this way, E. Heinz gave in [3] an existence proof, provided that (HI<+(%'%-1). Later on, H. Werner [14] succeeded in sharpening the considerations of Heinz to achieve existence for 1HI< fr. Recently, we have developed in [6] a new procedure