On the Dirichlet problem for the Beltrami equations in finitely connected domains
We establish a series of criteria for the existence of regular solutions of the Dirichlet problem for degenerate Beltrami equations in arbitrary Jordan domains. We also formulate the corresponding criteria for the existence of pseudoregular and multivalued solutions of the Dirichlet problem in the case of finitely connected domains.
English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 7, pp 1064-1077.
Citation Example: Kovtonyuk D. A., Petkov I. V., Ryazanov V. I. On the Dirichlet problem for the Beltrami equations in finitely connected domains // Ukr. Mat. Zh. - 2012. - 64, № 7. - pp. 932-944.