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Isolated singularities of mappings with the inverse Poletski inequality

We study open-closed discrete mappings that satisfy the weighted estimate of the distortion of modulus of families of paths. It is proved that the mappings mentioned above have a continuous extension into the isolated point of the boundary, provided that the corresponding weight function is integrable, and the cluster set of the mapping at a given point belongs to the boundary of the image under the mapping

preprint2020arXivOpen access
Evgeny Sevost'yanov
math.CV
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Evgeny Sevost'yanov

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