Title | On the regular solutions of the Dirichlet problem for Beltrami equations |
Publication Type | Journal Article |
Year of Publication | 2014 |
Authors | Kovtonyuk, DA, Petkov, IV, Ryazanov, VI |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2014.03.013 |
Issue | 3 |
Section | Mathematics |
Pagination | 13-17 |
Date Published | 3/2014 |
Language | Russian |
Abstract | 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. |
Keywords | Beltrami equations, Dirichlet problem, solutions |
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