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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 4, Pages 778–788 (Mi smj1744)  
This article is cited in 31 scientific papers (total in 31 papers)

Area and coarea formulas for the mappings of Sobolev classes with values in a metric space

M. B. Karmanova

Novosibirsk State University, Mechanics and Mathematics Department
Full-text PDF (417 kB) Citations (31)
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Abstract: We prove the metric differentiability and approximate metric differentiability for some broad classes of mappings with values in a metric space, including Sobolev classes. By way of application, we derive some metric analogs of area and coarea formulas.
Keywords: metric space, metric differentiability, mapping of the Sobolev class, area formula, coarea formula.
Received: 10.04.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 4, Pages 621–628
DOI: https://doi.org/10.1007/s11202-007-0064-7
Bibliographic databases:
Language: Russian
Citation: M. B. Karmanova, “Area and coarea formulas for the mappings of Sobolev classes with values in a metric space”, Sibirsk. Mat. Zh., 48:4 (2007), 778–788; Siberian Math. J., 48:4 (2007), 621–628
Citation in format AMSBIB
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\issue 4
\pages 778--788
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\issue 4
\pages 621--628
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    • This publication is cited in the following 31 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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