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Mappings with the inverse Poletsky inequality are discrete on the boundary

2021/02/14 by Evgeny Sevost’yanov, Sevost'yanov, Evgeny
Mathematics · Computer Science · #Analytic and geometric function theory #Functional Equations Stability Results #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2102.07261

Abstract

It is established a continuous boundary extension of some class of mappings. Under some additional conditions, we have established that this extension is light in the closure of the definition domain. Under some stronger conditions, we also have proved that it is open and discrete there.

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