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Boundary regularity and normal derivatives of logarithmic potentials

Published online by Cambridge University Press:  14 November 2011

J. Král
J. Král
Affiliation:
Mathematical Institute, Czechoslovak Academy of Sciences, Prague, Czechoslovakia
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Synopsis

We consider the weak Neumann problem for logarithmic potentials in plane domains. We prove that this problem can be treated by the Fredholm–Radon method if and only if the boundary of the corresponding domain is formed by finitely many curves fulfilling specified regularity conditions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 106 , Issue 3-4 , 1987 , pp. 241 - 258
Copyright
Copyright © Royal Society of Edinburgh 1987

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