CONSTANT MEAN-CURVATURE SURFACES

被引:6
|
作者
WANG, AN
机构
[1] National Taiwan University, Taipei
关键词
D O I
10.2140/pjm.1990.145.395
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For bounded planar domains there is a notion of extremal domain for which the constant mean curvature equation div(Du/√1+|Du|2) = 2 has a unique solution under no boundary conditions whatsoever. Extending to unbounded domains, it was expected that an infinite strip of unit width has the analogous property of admitting only cylinders as solutions. We show here that in fact other (distinct) solutions can appear. © 1990 by Pacific Journal of Mathematics.
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页码:395 / 396
页数:2
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