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

Authors

  • D. A. Kovtonyuk Ин-т прикл. математики и механики НАН Украины, Донецк
  • I. V. Petkov Ин-т прикл. математики и механики НАН Украины, Донецк
  • V. I. Ryazanov Ин-т прикл. математики и механики НАН Украины, Донецк

Abstract

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.

Published

25.07.2012

Issue

Section

Research articles

How to Cite

Kovtonyuk, D. A., et al. “On the Dirichlet Problem for the Beltrami Equations in Finitely Connected Domains”. Ukrains’kyi Matematychnyi Zhurnal, vol. 64, no. 7, July 2012, pp. 932-44, https://umj.imath.kiev.ua/index.php/umj/article/view/2629.