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Sbornik: Mathematics, 2004, Volume 195, Issue 6, Pages 879–896
DOI: https://doi.org/10.1070/SM2004v195n06ABEH000829 (Mi sm829) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Functionals with the $H$-property in the Sobolev space $W_1^1$

A. S. Leonov

Moscow Engineering Physics Institute (State University)
English version PDF (218 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM2004v195n06ABEH000829
Abstract: Special classes of convex functionals in the Sobolev space $W_1^1$ are under consideration. Functionals in these classes are shown to have the so-called $H$-property: if a sequence of points in the domain of a functional converges weakly and the values of the functional at these points converge, then this sequence converges strongly in $W_1^1$.
Received: 24.06.2003
Russian version:
Matematicheskii Sbornik, 2004, Volume 195, Number 6, Pages 121–136
DOI: https://doi.org/10.4213/sm829
Bibliographic databases:
UDC: 517.98
MSC: 36E35
Language: English
Original paper language: Russian
Citation: A. S. Leonov, “Functionals with the $H$-property in the Sobolev space $W_1^1$”, Mat. Sb., 195:6 (2004), 121–136; Sb. Math., 195:6 (2004), 879–896
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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    References:60
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