FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Extremal decomposition problems for p-harmonic Robin radius |
Afanaseva-Grigoreva A.S., Prilepkina E.G. |
2020, issue 2, P. 135–143 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. |
Keywords: p-harmonic radius, Robin radius, modulus of a family of curves, dissymmetrization, extremal decompositions |
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References |
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