On the Dirichlet problem for de ge nerate Beltrami equations
DOI:
https://doi.org/10.15407/dopovidi2023.03.009Keywords:
BMO, bounded mean oscillation, FMO, finite mean oscillation, Dirichlet problem, degenerate Beltrami equations, simply connected domainsAbstract
We study the Dirichlet problem as with continuous boundary data in arbitrary simply connected bounded domains D of the complex plane where f satisfies the degenerate Beltrami equation a. e. in D. We give in terms of the BMO and FMO criteria as well as a number of other integral criteria on the existence and representation of regular discrete open solutions to the stated above problem.
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