Plateau’s problem in Finsler 3-space

被引：0
作者：
Patrick Overath
Heiko von der Mosel
机构：
[1] RWTH Aachen University,Institut für Mathematik
来源：
Manuscripta Mathematica | 2014年 / 143卷
关键词：
44A12; 49Q05; 49Q10; 53A35; 53B40; 53C60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We explore a connection between the Finslerian area functional based on the Busemann–Hausdorff-volume form, and well-investigated Cartan functionals to solve Plateau’s problem in Finsler 3-space, and prove higher regularity of solutions. Free and semi-free geometric boundary value problems, as well as the Douglas problem in Finsler space can be dealt with in the same way. We also provide a simple isoperimetric inequality for minimal surfaces in Finsler spaces.
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页码：273 / 316
页数：43
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