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<p>Quasilinear Beltrami equations whose complex coefficients depend on an unknown function have been studied. In terms of the so-called tangent dilation, conditions have been found under which these equations have homeomorphic <i>ACL</i> solutions. Conditions that ensure the existence of corresponding continuous <i>ACL</i> solutions have also been found.</p>

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On quasilinear Beltrami equations with restrictions on tangential dilation

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • Evgeny O. Sevost’yanov,
  • Valery A. Targonskii,
  • Nataliya S. Ilkevych

摘要

Quasilinear Beltrami equations whose complex coefficients depend on an unknown function have been studied. In terms of the so-called tangent dilation, conditions have been found under which these equations have homeomorphic ACL solutions. Conditions that ensure the existence of corresponding continuous ACL solutions have also been found.