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<p>We consider open discrete mappings that satisfy an inverse modulus condition of the Poletsky type. We consider the case where the majorant in it is integrable. Under this condition, we prove that such mappings have a continuous extension to an isolated boundary point of a domain without any additional a priori requirements. We also give some examples of mappings satisfying the conditions in the main result.</p>

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On Singularities of Mappings with a Lebesgue Integrable Majorant

  • 期刊论文

  • 发表日期：

    2025年8月9日

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  • Victoria Desyatka,
  • Evgeny Sevost’yanov

摘要

We consider open discrete mappings that satisfy an inverse modulus condition of the Poletsky type. We consider the case where the majorant in it is integrable. Under this condition, we prove that such mappings have a continuous extension to an isolated boundary point of a domain without any additional a priori requirements. We also give some examples of mappings satisfying the conditions in the main result.