Extremal decomposition problems for p-harmonic radius
Complex Variables
2016-04-27 v2
Abstract
We extend classical results by Lavrent'ev and Kufarev concerning the product of the conformal radii of planar non-overlapping domains. We also extend relatively recent results for the case of domains in the -dimensional Euclidean space, , with conformal radii replaced by harmonic ones. Namely, we get analogues of these results in -dimensional Euclidean space in terms of -harmonic radius. The proofs are based on technique of modulii of curve families and dissymmetrization of such families.
Keywords
Cite
@article{arxiv.1604.05230,
title = {Extremal decomposition problems for p-harmonic radius},
author = {Sergei Kalmykov and Elena Prilepkina},
journal= {arXiv preprint arXiv:1604.05230},
year = {2016}
}
Comments
15 pages, 4 figures