We study Beltrami-type equations with two given complex characteristics. Under certain conditions imposed on the complex coefficients, we prove theorems on the existence of homeomorphic ACL-solutions of this equation. In addition, under some relatively weak conditions, we establish theorems on the existence of the corresponding continuous ACL-solutions of this equation that are logarithmic Hölder continuous in a given domain.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 7, pp. 961–972, July, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i7.7088.
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Dovhopiatyi, O.P., Sevost’yanov, E.A. On the Existence of Solutions of Quasilinear Beltrami Equations with Two Characteristics. Ukr Math J 74, 1099–1112 (2022). https://doi.org/10.1007/s11253-022-02122-1
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DOI: https://doi.org/10.1007/s11253-022-02122-1