On isolated singularities of mappings, inverse of which are generalized quasiconformal
E.A. Sevost'yanov
TL;DR
This paper proves that certain homeomorphisms in Euclidean space, which distort curve families in a specific way, can be continuously extended to isolated boundary points, advancing understanding of boundary behavior in quasiconformal mappings.
Contribution
It establishes conditions under which mappings with Poletskii-type modulus distortion extend continuously to isolated boundary points.
Findings
Mappings with Poletskii-type distortion extend continuously to isolated boundary points.
The result applies to homeomorphisms in Euclidean space.
Advances boundary behavior understanding in generalized quasiconformal mappings.
Abstract
We have proved that homeomorphisms of domains of Euclidean space, inverse of which distort the modulus of families of curves by Poletskii type, have a continuous extension to isolated boundary point.
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Taxonomy
TopicsAnalytic and geometric function theory · Advanced Theoretical and Applied Studies in Material Sciences and Geometry · Elasticity and Wave Propagation