Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 3, Pages 627–649 (Mi smj2559)  
This article is cited in 4 scientific papers (total in 4 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 (4)
References:
PDF
HTML
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
\Bibitem{Rom14}
\by N.~N.~Romanovski{\v\i}
\paper Embedding theorems and a~variational problem for functions on a~metric measure space
\jour Sibirsk. Mat. Zh.
\yr 2014
\vol 55
\issue 3
\pages 627--649
\mathnet{http://mi.mathnet.ru/smj2559}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3237379}
\elib{https://elibrary.ru/item.asp?id=21800679}
\transl
\jour Siberian Math. J.
\yr 2014
\vol 55
\issue 3
\pages 511--529
\crossref{https://doi.org/10.1134/S0037446614030136}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000338502400013}
\elib{https://elibrary.ru/item.asp?id=24061968}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84903316780}
Linking options:
  • https://www.mathnet.ru/eng/smj2559
  • https://www.mathnet.ru/eng/smj/v55/i3/p627
    • This publication is cited in the following 4 articles:
    1. N. N. Romanovskii, “Ob obobscheniyakh klassov Soboleva na metricheskii i topologicheskii sluchai”, Izv. vuzov. Matem., 2024, no. 11, 97–104  mathnet  crossref
    2. N. N. Romanovsky, “Generalizations of Sobolev Classes to the Metric and Topological Cases”, Russ Math., 68:11 (2024), 84  crossref
    3. N. N. Romanovskii, “Sobolev embedding theorems and their generalizations for maps defined on topological spaces with measures”, Moscow University Mathematics Bulletin, 77:1 (2022), 27–40  mathnet  crossref  mathscinet  zmath
    4. N. N. Romanovskiǐ, “Sobolev embedding theorems and generalizations for functions on a metric measure space”, Siberian Math. J., 59:1 (2018), 126–135  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:362
    Full-text PDF :100
    References:67
    First page:8
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025