TY  - JOUR
T1  - Dirihlet problem for the generalized Beltrami equation
AU  - Gökgöz, Pelin Ayşe
PY  - 2025
DA  - June
Y2  - 2025
DO  - 10.26650/ijmath.2025.00022
JF  - Istanbul Journal of Mathematics
PB  - Istanbul University
WT  - DergiPark
SN  - 2980-3020
SP  - 12
EP  - 19
VL  - 3
IS  - 1
LA  - en
AB  - In this article, we investigate the Dirichlet problem for the generalized Beltrami equation. Firstly, we introduce the solutions of the Dirichlet problem for the inhomogeneous Cauchy-Riemann equation in the unit disc. Secondly, we state the properties of the integral operators for regular domains. Then, by using Banach fixed point theorem, we obtain the existence of the unique solution of the Dirichlet problem for the generalized Beltrami equation in the unit disc.
KW  - Dirichlet problem
KW  - Unit disc
KW  - Generalized Beltrami equation
KW  - Banach fixed point theorem
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UR  - https://doi.org/10.26650/ijmath.2025.00022
L1  - https://dergipark.org.tr/en/download/article-file/5108399
ER  -