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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An extension of the Thomson principle


Author: A. W. J. Stoddart
Journal: Proc. Amer. Math. Soc. 29 (1971), 561-564
MSC: Primary 26.70; Secondary 31.00
MathSciNet review: 0277678
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Abstract: The classical Thomson principle, giving lower bounds for the Dirichlet integral, is extended, with modification, to a wider class of test functions. This makes it possible to obtain simpler and better lower bounds.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0277678-0
PII: S 0002-9939(1971)0277678-0
Keywords: Thomson principle, Dirichlet integral, lower bounds, capacitance
Article copyright: © Copyright 1971 American Mathematical Society