2012/11/25 by Evgeny Sevost’yanov, Evgeny Sevost'yanov, Sevost'yanov, Evgeny
Materials Science · Mathematics · #Analytic and geometric function theory #Differential Equations and Boundary Problems #Structural mechanics and materials #math.CV #msc:30C62 #msc:30C65
paper · pdf · doi:10.48550/arxiv.1211.5834
16 pages
arxiv created 2013/09/02 · arxiv updated 2013/09/04
The present paper is devoted to the study of classes of mappings with non--bounded characteristics of quasiconformality. It is proved that the normal families of mappings distorting the families of mappings in \Bbb Rn by special way, have the logarithmic order of growth in the neighborhood of every point. There are proved some sufficient conditions of normality of such mappings f:D→ \Bbb Rn, n≥ 2, omitting the values of some set Ef with some constraints of the type c(Ef)≥ δ, δ∈ \Bbb R, where c(⋅) is the special set function.