非局部极小曲面的粘滞现象:新结果及与经典情况的比较

IF 0.2 Q4 MATHEMATICS

Bruno Pini Mathematical Analysis Seminar Pub Date : 2019-11-29 DOI:10.6092/issn.2240-2829/10362

Claudia Bucur

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引用次数: 0

摘要

本文讨论了非局部极小曲面的粘性现象。凸域中的经典极小曲面不粘在域的边界上，因此粘性的例子只能通过去除凸性的假设来获得。另一方面，在非局部框架中，粘性是“一般的”。我们提供了文献中的各种例子，并重点讨论了高度非局部状态下的完全粘性的情况。

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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The stickiness phenomena of nonlocal minimal surfaces: new results and a comparison with the classical case

We discuss in this note the stickiness phenomena for nonlocal minimal surfaces. Classical minimal surfaces in convex domains do not stick to the boundary of the domain, hence examples of stickiness can be obtained only by removing the assumption of convexity. On the other hand, in the nonlocal framework, stickiness is ''generic''. We provide various examples from the literature, and focus on the case of complete stickiness in highly nonlocal regimes.

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来源期刊

Bruno Pini Mathematical Analysis Seminar MATHEMATICS-

CiteScore

0.30

自引率

0.00%

发文量

审稿时长

15 weeks