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Matematicheskie Zametki, 2005, Volume 77, Issue 3, Pages 378–394
DOI: https://doi.org/10.4213/mzm2500 (Mi mzm2500) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the $H$-property of functionals in Sobolev spaces

A. S. Leonov

Moscow Engineering Physics Institute (State University)
Full-text PDF (250 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm2500
Abstract: In this paper, we consider special classes of strongly convex functionals in Sobolev spaces. It is proved that functionals from such classes have the so-called $H$-property: weak convergence of sequences of arguments and convergence of such sequences with respect to a given functional imply strong convergence.
Received: 27.06.2002
English version:
Mathematical Notes, 2005, Volume 77, Issue 3, Pages 348–363
DOI: https://doi.org/10.1007/s11006-005-0035-x
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: A. S. Leonov, “On the $H$-property of functionals in Sobolev spaces”, Mat. Zametki, 77:3 (2005), 378–394; Math. Notes, 77:3 (2005), 348–363
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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