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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 4, Pages 931–942
(Mi smj2374)
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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
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
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
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https://www.mathnet.ru/eng/smj2374 https://www.mathnet.ru/eng/smj/v53/i4/p931
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Abstract page: | 243 | Full-text PDF : | 70 | References: | 42 | First page: | 2 |
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