旧对称问题的再认识

Open Journal of Mathematical Analysis Pub Date : 2018-12-31 DOI:10.30538/PSRP-OMA2018.0020

A. Ramm

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引用次数: 1

摘要

证明了如果D中的问题Ş2u=1，u|S=0，uN=m:=|D|/|S|，则D是一个球。这一结果至少有两种不同的证明。本文给出的证明新颖而简短。数学学科分类：35B06；35R30；35J05。

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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Old Symmetry Problem Revisited

It is proved that if the problem ∇2u = 1 in D, u|S = 0, uN = m := |D|/|S| then D is a ball. There were at least two different proofs published of this result. The proof given in this paper is novel and short. Mathematics Subject Classification: 35B06; 35R30; 35J05.

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来源期刊

Open Journal of Mathematical Analysis

自引率

0.00%

发文量

审稿时长

8 weeks