Ukrainian Mathematical Journal

, Volume 64, Issue 7, pp 1064–1077

On the Dirichlet problem for the Beltrami equations in finitely connected domains

  • D. A. Kovtonyuk
  • I. V. Petkov
  • V. I. Ryazanov
Article

DOI: 10.1007/s11253-012-0699-9

Cite this article as:
Kovtonyuk, D.A., Petkov, I.V. & Ryazanov, V.I. Ukr Math J (2012) 64: 1064. doi:10.1007/s11253-012-0699-9

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.

Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • D. A. Kovtonyuk
    • 1
  • I. V. Petkov
    • 1
  • V. I. Ryazanov
    • 1
  1. 1.DonetskUkraine