On convergence of a sequence of mappings with inverse modulus inequality to a discrete mapping

2024/04/25 by Sevost'yanov, E. O., Targonskii, V. A.
#30C65 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2404.17060

Abstract

We have studied the mappings that satisfy the Poletsky-type inverse inequality in the domain of the Euclidean space. It is proved that the uniform boundary of the family of such mappings is a discrete mapping. We separately considered domains that are locally connected at their boundary and regular domains in the quasiconformal sense.

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