旧对称问题的再认识

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。
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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