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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 4, Pages 931–942 (Mi smj2374)  
This article is cited in 2 scientific papers (total in 2 papers)

The theorem on convergence with a functional for integral functionals with $p(x)$- and $p(x,u)$-growth

M. A. Sychev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (331 kB) Citations (2)
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Abstract: We continue studying weak convergence for the integral functionals satisfying $p(x)$- and $p(x,u)$-growth conditions. We obtain the theorem on convergence with a functional and some results on the relation between integral functionals and their abstract lower semicontinuous extensions.
Keywords: integral functional, Young measure, convergence with a functional, lower semicontinuous envelope, strict quasiconvexity.
Received: 31.07.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 4, Pages 748–756
DOI: https://doi.org/10.1134/S0037446612040167
Bibliographic databases:
Document Type: Article
UDC: 517.972/974
Language: Russian
Citation: M. A. Sychev, “The theorem on convergence with a functional for integral functionals with $p(x)$- and $p(x,u)$-growth”, Sibirsk. Mat. Zh., 53:4 (2012), 931–942; Siberian Math. J., 53:4 (2012), 748–756
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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