On the symmetry in a heterogeneous overdetermined problem
On the symmetry in a heterogeneous overdetermined problem
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异质超定问题中的对称性
DOI：
10.1112/blms/bdu098
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Michiaki Onodera
中科院分区：
文献类型：
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作者：
Michiaki Onodera;Michiaki Onodera;Michiaki Onodera
本文用一种适用于空间非均匀情况的新方法研究了位势论中的对称性问题。证明了在非齐性条件下，超定问题可解的区域一定是球。
A symmetry problem in potential theory is studied with a new approach applicable to spatially heterogeneous situations. It is proved under some condition on the heterogeneity that a domain in which an overdetermined problem is solvable must be a ball.