On the geometric form of Bernoulli configurations
作者:
Andrew Acker,
期刊:
Mathematical Methods in the Applied Sciences
(WILEY Available online 1988)
卷期:
Volume 10,
issue 1
页码: 1-14
ISSN:0170-4214
年代: 1988
DOI:10.1002/mma.1670100102
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractIn References 4 and 5, the author studied the geometric form of the free boundary Γ of an annular domain Ω, characterized by the Bernoulli condition that |∇U|=1 on Γ, whereUis the capacity potential in Ω. It was shown, for example, that Γ has at most as many ν‐extrema (for a given direction ν) or inflection points as the other boundary component Γ* of Ω, which is assumed given. Our purpose here is to extend the results in References 4 and 5 (wherever possible) to multiply connected regions for which some boundary components are given and others are free boundaries characterized by the Bernoulli condition. We present both positive results and cou
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