奇异曲线的Plateau问题

IF 0.7 4区数学 Q2 MATHEMATICS

Communications in Analysis and Geometry Pub Date : 2019-04-29 DOI:10.4310/cag.2022.v30.n8.a3

Paul Creutz

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引用次数: 9

摘要

我们给出了奇异曲线可能具有自相交的Plateau问题的一个解。该证明基于Alexander Lytchak和Stefan Wenger在非常一般的度量空间中对Jordan曲线的Plateau问题的解，因此也适用于非常一般的环境。然而，即使在$\mathbb｛R｝^n$中，本文的主要结果似乎也是新的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Plateau’s problem for singular curves

We give a solution of Plateau's problem for singular curves possibly having self-intersections. The proof is based on the solution of Plateau's problem for Jordan curves in very general metric spaces by Alexander Lytchak and Stefan Wenger and hence works also in a quite general setting. However the main result of this paper seems to be new even in $\mathbb{R}^n$.

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来源期刊

Communications in Analysis and Geometry 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality papers on subjects related to classical analysis, partial differential equations, algebraic geometry, differential geometry, and topology.