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On quasilinear Beltrami equations with restrictions on tangential dilatation

Complex Variables 2024-11-06 v2

Abstract

We study quasilinear Beltrami equations, the complex coefficients of which depend on the unknown function. In terms of the so-called tangential dilatation, we have found conditions under which these equations have homeomorphic ACLACL-solutions. Sepa\-ra\-tely, we have found some conditions that ensure the existence of the corresponding con\-ti\-nuous ACLACL-solutions.

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Cite

@article{arxiv.2402.15084,
  title  = {On quasilinear Beltrami equations with restrictions on tangential dilatation},
  author = {E. O. Sevost'yanov and V. A. Targonskii and N. S. Ilkevych},
  journal= {arXiv preprint arXiv:2402.15084},
  year   = {2024}
}

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