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

  • 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
How to Cite
KovtonyukD. A., PetkovI. V., and RyazanovV. I. “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, http://umj.imath.kiev.ua/index.php/umj/article/view/2629.
Section
Research articles