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arXiv · 2110.08736

On the existence of solutions of quasilinear Beltrami equations with two characteristics

O. P. Dovhopiatyi·E. A. Sevost'yanov
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Abstract

We study Beltrami-type equations with two given complex characteristics. Under certain conditions on the complex coefficients, we obtained theorems on the existence of homeomorphic $ ACL $ -solutions of this equation. In addition, for some relatively weak conditions, we obtained theorems on the existence of the corresponding continuous $ ACL $ -solutions that are loga -rith\-mi\-cally H\"{o}lder in a given domain.

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O. P. Dovhopiatyi, E. A. Sevost'yanov. 2021-10-17. On the existence of solutions of quasilinear Beltrami equations with two characteristics. https://arxiv.org/abs/2110.08736

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