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arXiv · 2402.15084

On quasilinear Beltrami equations with restrictions on tangential dilatation

E. O. Sevost'yanov·V. A. Targonskii·N. S. Ilkevych
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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 $ACL$-solutions. Sepa\-ra\-tely, we have found some conditions that ensure the existence of the corresponding con\-ti\-nuous $ACL$-solutions.

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E. O. Sevost'yanov, V. A. Targonskii, N. S. Ilkevych. 2024-02-23. On quasilinear Beltrami equations with restrictions on tangential dilatation. https://arxiv.org/abs/2402.15084

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