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Integral functionals that are continuous with respect to the weak topology on W-0(1,p)(Omega)
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SYSNO ASEP 0330850 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Integral functionals that are continuous with respect to the weak topology on W-0(1,p)(Omega) Title Integrální funkcionály spojité vzhledem ke slabé topologii na W_0^{1,p}(Omega) Author(s) Černý, R. (CZ)
Hencl, S. (CZ)
Kolář, Jan (MU-W) RID, SAISource Title Nonlinear Analysis: Theory, Methods & Applications. - : Elsevier - ISSN 0362-546X
Roč. 71, 7-8 (2009), s. 2753-2763Number of pages 11 s. Language eng - English Country GB - United Kingdom Keywords weak continuity ; nonlinear integral functional ; Sobolev spaces ; linearity Subject RIV BA - General Mathematics R&D Projects GA201/06/0018 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000267405300036 Annotation Let Omega subset of N-R be a bounded open set and let g: Omega x R -> R be a Caratheodory function that satisfies standard growth conditions. Then the functional Phi(u) = integral(Omega) g (x, u(x)) dx is weakly continuous on W-0(1,p)(Omega), 1 <= p <= infinity, if and only if g is linear in the second variable. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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