English

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 nn-dimensional Euclidean space, n3n \geq 3, with conformal radii replaced by harmonic ones. Namely, we get analogues of these results in nn-dimensional Euclidean space in terms of pp-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

R2 v1 2026-06-22T13:35:03.036Z