|
This article is cited in 63 scientific papers (total in 63 papers)
Capacity of condensers and spatial mappings quasiconformal in the mean
V. I. Kruglikov
Abstract:
With the concept of the variational $p$-capacity of a condenser as a starting point, the mean inner and outer deviations are defined for homeomorphic mappings of bounded domains in $R^n$, $n\geqslant3$. Analytic expressions which are integral means of the usual analytic deviations of a homeomorphism are established for such deviations. Various equivalent geometric and analytic definitions are given for mappings quasiconformal in the mean and for quasiconformal mappings. An estimate is determined for the distortion of Euclidean distances under mappings quasiconformal in the mean and other mappings.
Bibliography: 14 titles.
Received: 22.04.1985
Citation:
V. I. Kruglikov, “Capacity of condensers and spatial mappings quasiconformal in the mean”, Math. USSR-Sb., 58:1 (1987), 185–205
Linking options:
https://www.mathnet.ru/eng/sm1864https://doi.org/10.1070/SM1987v058n01ABEH003099 https://www.mathnet.ru/eng/sm/v172/i2/p185
|
|