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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 3, Pages 627–649 (Mi smj2559)  
This article is cited in 3 scientific papers (total in 3 papers)

Embedding theorems and a variational problem for functions on a metric measure space

N. N. Romanovskiĭ

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (430 kB) Citations (3)
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Abstract: We use a new method to prove the Sobolev embedding theorem for functions on a metric space and study other questions of the theory of Sobolev spaces on a metric space. We prove the existence and uniqueness of solution to a variational problem.
Keywords: Sobolev classes, Nikol'skiĭ classes, functions on a metric space, embedding theorems, compactness of the embedding, variational problem.
Received: 06.08.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 3, Pages 511–529
DOI: https://doi.org/10.1134/S0037446614030136
Bibliographic databases:
Document Type: Article
UDC: 517.518+517.518.23
Language: Russian
Citation: N. N. Romanovskiǐ, “Embedding theorems and a variational problem for functions on a metric measure space”, Sibirsk. Mat. Zh., 55:3 (2014), 627–649; Siberian Math. J., 55:3 (2014), 511–529
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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