<p>We study mappings satisfying the inverse Poletsky-type inequality in a domain of the Euclidean space. It is proved that the uniform limit of the family of these mappings is a discrete mapping. The cases of domains locally connected on their boundaries and domains regular in the quasiconformal sense are considered separately.</p>

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On Convergence of a Sequence of Mappings with Inverse Modulus Inequality to a Discrete Mapping

  • Evgeny Sevost’yanov,
  • Valerii Targonskii

摘要

We study mappings satisfying the inverse Poletsky-type inequality in a domain of the Euclidean space. It is proved that the uniform limit of the family of these mappings is a discrete mapping. The cases of domains locally connected on their boundaries and domains regular in the quasiconformal sense are considered separately.