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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 624–634
DOI: https://doi.org/10.17377/semi.2016.13.049 (Mi semr699) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Real, complex and functional analysis

The Holder continuity of Sobolev functions on the hypersurfaces

A. S. Romanovab

a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Novosibirsk State University, Pirogova str., 2, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.049
Abstract: We discuss some of the problems associated with the Holder continuity of traces of Sobolev functions on hypersurfaces.
Keywords: Sobolev space, embedding theorem, Hausdorff measure, p-module.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00552_a
Received March 3, 2016, published August 13, 2016
Document Type: Article
UDC: 517.51
MSC: 46E35
Language: Russian
Citation: A. S. Romanov, “The Holder continuity of Sobolev functions on the hypersurfaces”, Sib. Èlektron. Mat. Izv., 13 (2016), 624–634
Citation in format AMSBIB
\Bibitem{Rom16}
\by A.~S.~Romanov
\paper The Holder continuity of Sobolev functions on the hypersurfaces
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 624--634
\mathnet{http://mi.mathnet.ru/semr699}
\crossref{https://doi.org/10.17377/semi.2016.13.049}
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