Email this article ON the p-Harmonic Robin Radius in the Euclidean Space
- Authors: Kalmykov S.I.1,2, Prilepkina E.G.3,4
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Affiliations:
- School of Mathematical Sciences, Shanghai Jiao Tong University
- Institute of Applied Mathematics of the FEB RAS
- Far Eastern Federal University
- Vladivostok Department of the Russian Customs Academy
- Issue: Vol 225, No 6 (2017)
- Pages: 969-979
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/239877
- DOI: https://doi.org/10.1007/s10958-017-3508-z
- ID: 239877
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Abstract
For p > 1, the notion of the p-harmonic Robin radius of a domain in the space ℝn, n ≥ 2, is introduced. In the case where the corresponding part of the boundary degenerates, the Robin–Neumann radius is considered. The monotonicity of the p-harmonic Robin radius under some deformations of a domain is proved. Some extremal decomposition problems in the Euclidean space are solved. The definitions and proofs are based on the technique of moduli of curve families. Bibliography: 23 titles.
About the authors
S. I. Kalmykov
School of Mathematical Sciences, Shanghai Jiao Tong University; Institute of Applied Mathematics of the FEB RAS
Author for correspondence.
Email: sergeykalmykov@inbox.ru
China, Shanghai; Vladivostok
E. G. Prilepkina
Far Eastern Federal University; Vladivostok Department of the Russian Customs Academy
Email: sergeykalmykov@inbox.ru
Russian Federation, Vladivostok; Vladivostok
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