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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 832–841
DOI: https://doi.org/10.17377/semi.2015.12.069 (Mi semr632) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Real, complex and functional analysis

The continuity of Sobolev functions on the hyperplanes

A. S. Romanovab

a Novosibirsk State University, Pirogova str., 2, 630090, Novosibirsk, Russia
b Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2015.12.069
Abstract: We discuss some of the problems associated with continuous trace Sobolev functions on the sections of the $ n $-dimensional cube by hyperplanes.
Keywords: Sobolev space, embedding theorem, Hausdorff measure.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00552-a
Received October 6, 2015, published November 18, 2015
Document Type: Article
UDC: 517.51
MSC: 46E35
Language: Russian
Citation: A. S. Romanov, “The continuity of Sobolev functions on the hyperplanes”, Sib. Èlektron. Mat. Izv., 12 (2015), 832–841
Citation in format AMSBIB
\Bibitem{Rom15}
\by A.~S.~Romanov
\paper The continuity of Sobolev functions on the hyperplanes
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 832--841
\mathnet{http://mi.mathnet.ru/semr632}
\crossref{https://doi.org/10.17377/semi.2015.12.069}
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