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- Title
ON the p-Harmonic Robin Radius in the Euclidean Space.
- Authors
Kalmykov, S.; Prilepkina, E.
- Abstract
For p > 1, the notion of the p-harmonic Robin radius of a domain in the space ℝ , 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.
- Subjects
HARMONIC analysis (Mathematics); EUCLIDEAN distance; MONOTONIC functions; MATHEMATICAL decomposition; BOUNDARY value problems; TOPOLOGICAL spaces
- Publication
Journal of Mathematical Sciences, 2017, Vol 225, Issue 6, p969
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-017-3508-z