On injectivity of quasiregular mappings
Tadeusz Iwaniec, Leonid V. Kovalev, and Jani Onninen
TL;DR
This paper establishes conditions under which planar quasiregular mappings are guaranteed to be injective, based on properties of their differential matrices, contributing to the understanding of their geometric behavior.
Contribution
It provides new sufficient conditions for injectivity of planar quasiregular mappings using the range of their differential matrices.
Findings
Identifies specific conditions on the differential matrix for injectivity
Enhances understanding of quasiregular mapping properties
Offers criteria applicable to planar quasiregular mappings
Abstract
We give sufficient conditions for a planar quasiregular mapping to be injective in terms of the range of the differential matrix.
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