The Dirichlet problem for the Beltrami equations in simply connected domains

TitleThe Dirichlet problem for the Beltrami equations in simply connected domains
Publication TypeJournal Article
Year of Publication2015
AuthorsPetkov, IV
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2015.11.012
Issue11
SectionMathematics
Pagination12-17
Date Published11/2015
LanguageRussian
Abstract

Under certain conditions on the dilatation coefficient Kµ, the existence of regular solutions of the Dirichlet problem for the Beltrami equations in arbitrary simply connected domains is proved.

KeywordsBeltrami equations, Dirichlet problem, prime ends, regular solutions, simply connected domains
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