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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 5, Pages 999–1011
DOI: https://doi.org/10.17377/smzh.2016.57.506 (Mi smj2801) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Lower semicontinuity of mappings with bounded $(\theta,1)$-weighted $(p,q)$-distortion

S. K. Vodop'yanovab, A. O. Molchanovaab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (348 kB) Citations (8)
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DOI: https://doi.org/10.17377/smzh.2016.57.506
Abstract: We prove that, under some extra conditions, the locally uniform limit of mappings with bounded $(\theta,1)$-weighted $(p,q)$-distortion is a mapping of bounded $(\theta,1)$-weighted $(p,q)$-distortion too. Moreover, we obtain the lower semicontinuity of the distortion coefficients.
Keywords: bounded $(\theta,1)$-weighted $(p,q)$-distortion, lower semicontinuity, finite distortion.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 0314-2015-0011
Russian Foundation for Basic Research 14-01-00552
The first author was partially supported by the Presidium of the Russian Academy of Sciences (Project 0314-2015-0011 in the framework of the program “Modern Problems of Theoretical Mathematics” at the Sobolev Institute of Mathematics in 2016–2018). The second author was partially supported by the Russian Foundation for Basic Research (Grant 14-01-00552).
Received: 30.05.2016
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 5, Pages 778–787
DOI: https://doi.org/10.1134/S0037446616050062
Bibliographic databases:
Document Type: Article
UDC: 517.518+517.54
Language: Russian
Citation: S. K. Vodop'yanov, A. O. Molchanova, “Lower semicontinuity of mappings with bounded $(\theta,1)$-weighted $(p,q)$-distortion”, Sibirsk. Mat. Zh., 57:5 (2016), 999–1011; Siberian Math. J., 57:5 (2016), 778–787
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
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