On the regular solutions of the Dirichlet problem for Beltrami equations
DOI:
https://doi.org/10.15407/dopovidi2014.03.013Keywords:
Beltrami equations, Dirichlet problem, solutionsAbstract
The criteria of existence of regular solutions of the Dirichlet problem for degenerate Beltrami equations of the first kind in arbitrary Jordan domains with the boundary functions admitting at most a countable number of discontinuity points are established. In particular, the existence of regular solutions for arbitrary boundary functions of bounded variation is proved.
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