An Explicit Example of a Reich Sequence for a Uniquely Extremal Quasiconformal Mapping

2021 ◽  
Vol 42 (3) ◽  
pp. 327-332
Author(s):  
Xue Meng ◽  
Sihui Zhang
Keyword(s):  
Quasiconformal Mapping ◽  
Extremal Quasiconformal Mapping

NONDECREASABLE AND WEAKLY NONDECREASABLE DILATATIONS

2016 ◽  
Vol 102 (3) ◽  
pp. 420-434
Author(s):  
GUOWU YAO
Keyword(s):  
Quasiconformal Mapping ◽  
Equivalence Class ◽  
Infinite Number ◽  
Negative Answer ◽  
Quasiconformal Mappings ◽  
Extremal Quasiconformal Mapping

Zhou et al. [‘On weakly non-decreasable quasiconformal mappings’, J. Math. Anal. Appl.386 (2012), 842–847] proved that, in a Teichmüller equivalence class, there exists an extremal quasiconformal mapping with a weakly nondecreasable dilatation. They asked whether a weakly nondecreasable dilatation is a nondecreasable dilatation. The aim of this paper is to give a negative answer to their problem. We also construct a Teichmüller class such that it contains an infinite number of weakly nondecreasable extremal representatives, only one of which is nondecreasable.

scholarly journals Application of quasiconformal mapping methods to the investigation of the explosive processes impact on the environment

2019 ◽  
pp. 17-18
Author(s):  
Kateryna Mykolaiivna Malash ◽  
Andrii Yaroslavovych Bomba
Keyword(s):  
Numerical Methods ◽  
Mathematical Models ◽  
Quasiconformal Mapping ◽  
Quasiconformal Mappings ◽  
Practical Application

The mathematical models used to study explosive processes are given. A class of problems investigating the influence of explosive processes on the environment by the quasiconformal mappings numerical methods are outlined and their practical application are described

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