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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 1, Pages 176–184 (Mi smj14)  
This article is cited in 4 scientific papers (total in 4 papers)

On the traces of Sobolev functions on the boundary of a cusp with a Hцlder singularity

A. S. Romanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (213 kB) Citations (4)
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Abstract: For the Sobolev classes $W_p^1$ on a “zero” cusp with a Hölder singularity at the vertex, we consider the question of compactness of the embedding of the traces of Sobolev functions into the Lebesgue classes on the boundary of the cusp.
Keywords: Sobolev space, embedding theorem, trace.
Received: 28.10.2005
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 1, Pages 142–149
DOI: https://doi.org/10.1007/s11202-007-0014-4
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: A. S. Romanov, “On the traces of Sobolev functions on the boundary of a cusp with a Hцlder singularity”, Sibirsk. Mat. Zh., 48:1 (2007), 176–184; Siberian Math. J., 48:1 (2007), 142–149
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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