移动平面的方法:定量方法

IF 0.2 Q4 MATHEMATICS

Bruno Pini Mathematical Analysis Seminar Pub Date : 2018-11-13 DOI:10.6092/ISSN.2240-2829/8944

Giulio Ciraolo, Alberto Roncoroni

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引用次数: 9

摘要

我们回顾了移动平面方法已被用于证明超定PDE边值问题（如Serrin的超定问题）和几何分析中的刚度问题（如Alexandrov肥皂泡定理）的对称性的经典结果，并概述了与移动平面方法的定量研究有关的一些最新结果，其中获得了定量的近似对称性结果。

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The method of moving planes: a quantitative approach

We review classical results where the method of the moving planes has been used to prove symmetry properties for overdetermined PDE's boundary value problems (such as Serrin's overdetermined problem) and for rigidity problems in geometric analysis (like Alexandrov soap bubble Theorem), and we give an overview of some recent results related to quantitative studies of the method of moving planes, where quantitative approximate symmetry results are obtained.

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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