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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 6, Pages 1357–1372
(Mi smj2280)
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This article is cited in 2 scientific papers (total in 2 papers)
On composition principles for reduced moduli
E. G. Prilepkina Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok
Abstract:
We obtain the necessary and sufficient conditions for equality holding in the composition principles for generalized reduced moduli. As an application, we give some descriptions of extremal configurations in known and new inequalities for products of the Robin radii of nonoverlapping domains.
Keywords:
reduced modulus, Robin function, Neumann function, nonoverlapping domain, extremal partition problem.
Received: 29.09.2010
Citation:
E. G. Prilepkina, “On composition principles for reduced moduli”, Sibirsk. Mat. Zh., 52:6 (2011), 1357–1372; Siberian Math. J., 52:6 (2011), 1079–1091
Linking options:
https://www.mathnet.ru/eng/smj2280 https://www.mathnet.ru/eng/smj/v52/i6/p1357
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Abstract page: | 436 | Full-text PDF : | 132 | References: | 69 | First page: | 2 |
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