Boundary behavior of the Sobolev classes with critical exponent

TitleBoundary behavior of the Sobolev classes with critical exponent
Publication TypeJournal Article
Year of Publication2019
AuthorsAfanas’eva, OS, Ryazanov, VI, Salimov, RR
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2019.10.003
Issue10
SectionMathematics
Pagination3-10
Date Published10/2019
LanguageRussian
Abstract
The conditions for outer dilation KO(x, f ) and the boundaries of domains under which the homeomorphisms of the Sobolev classes \[W^{1,1}_{loc}\] admit a continuous or homeomorphic extension to the boundary are founded.
Keywordsboundary behavior., critical exponent, outer dilation, Sobolev’s classes
References: 

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