TY - JOUR
AU - O. P. Dovhopiatyi
AU - E. A. Sevost’yanov
PY - 2022/08/09
Y2 - 2023/03/24
TI - On the existence of solutions of quasilinear Beltrami equations with two characteristics
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 74
IS - 7
SE - Research articles
DO - 10.37863/umzh.v74i7.7088
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/7088
AB - UDC 517.5We 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. ¨
ER -