弹性曲线的障碍问题:存在性结果

IF 1.2 4区数学 Q1 MATHEMATICS

Interfaces and Free Boundaries Pub Date : 2018-12-07 DOI:10.4171/IFB/418

Marius Muller

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引用次数: 8

摘要

考虑具有固定端点的弹性曲线的障碍问题。我们尝试扩展[8]中提供的图方法。更准确地说，我们研究了特殊障碍图解的不存在性，并扩展了可容许曲线的类别，使其存在性结果可以通过惩罚论证得到。

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An obstacle problem for elastic curves: Existence results

We consider an obstacle problem for elastic curves with fixed ends. We attempt to extend the graph approach provided in [8]. More precisely, we investigate nonexistence of graph solutions for special obstacles and extend the class of admissible curves in a way that an existence result can be obtained by a penalization argument.

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来源期刊

Interfaces and Free Boundaries 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Interfaces and Free Boundaries is dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems in all areas where such phenomena are pertinent. The journal aims to be a forum where mathematical analysis, partial differential equations, modelling, scientific computing and the various applications which involve mathematical modelling meet. Submissions should, ideally, emphasize the combination of theory and application.