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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 5, Pages 1028–1045 (Mi smj1900)  
This article is cited in 6 scientific papers (total in 6 papers)

Sobolev classes of mappings on a Carnot–Carathéodory space: Various norms and variational problems

S. K. Vodop'yanov, N. N. Romanovskii

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (384 kB) Citations (6)
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Abstract: We prove the equivalence of various definitions of Sobolev classes and the $BV$-class of metric-space-valued mappings on some domain in a Carnot–Carathéodory space. Moreover, we prove the existence and uniqueness of the solution to some variational problem.
Keywords: Carnot–Carathéodory space, Sobolev classes of mappings, variational problem.
Received: 22.03.2007
Revised: 22.11.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 5, Pages 814–828
DOI: https://doi.org/10.1007/s11202-008-0080-2
Bibliographic databases:
UDC: 517.518.17+517.97
Language: Russian
Citation: S. K. Vodop'yanov, N. N. Romanovskii, “Sobolev classes of mappings on a Carnot–Carathéodory space: Various norms and variational problems”, Sibirsk. Mat. Zh., 49:5 (2008), 1028–1045; Siberian Math. J., 49:5 (2008), 814–828
Citation in format AMSBIB
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    • This publication is cited in the following 6 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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