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Dal'nevostochnyi Matematicheskii Zhurnal, 2020, Volume 20, Number 2, Pages 135–143
DOI: https://doi.org/10.47910/FEMJ202014 (Mi dvmg427) 		 
Extremal decomposition problems for p-harmonic Robin radius

A. S. Afanaseva-Grigorevaa, E. G. Prilepkinab

a Far Eastern Federal University, Vladivostok
b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
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DOI: https://doi.org/10.47910/FEMJ202014
Abstract: The theorems on the extremal decomposition of plane domains concerning to the products of Robin's radii are extended to the case of domains in Euclidean space. In some cases, the classical non-overlapping condition is weakened. The proofs are based on the moduli technique for families of curves and dissymmetrization.
Key words: p-harmonic radius, Robin radius, modulus of a family of curves, dissymmetrization, extremal decompositions.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00018
Received: 28.07.2020
Document Type: Article
UDC: 517.54
MSC: 31B99
Language: Russian
Citation: A. S. Afanaseva-Grigoreva, E. G. Prilepkina, “Extremal decomposition problems for p-harmonic Robin radius”, Dal'nevost. Mat. Zh., 20:2 (2020), 135–143
Citation in format AMSBIB
\Bibitem{AfaPri20}
\by A.~S.~Afanaseva-Grigoreva, E.~G.~Prilepkina
\paper Extremal decomposition problems for p-harmonic Robin radius
\jour Dal'nevost. Mat. Zh.
\yr 2020
\vol 20
\issue 2
\pages 135--143
\mathnet{http://mi.mathnet.ru/dvmg427}
\crossref{https://doi.org/10.47910/FEMJ202014}
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