Geodesic
The continuity of Sobolev functions on the hyperplanes
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 832-841

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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. 
@article{SEMR_2015_12_a87,
     author = {A. S. Romanov},
     title = {The continuity of {Sobolev} functions on the hyperplanes},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {832--841},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a87/}
}
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A. S. Romanov. The continuity of Sobolev functions on the hyperplanes. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 832-841. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a87/