Integral functionals that are continuous with respect to the weak topology on W-0(1,p)(Omega)
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F09%3A00330850" target="_blank" >RIV/67985840:_____/09:00330850 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Integral functionals that are continuous with respect to the weak topology on W-0(1,p)(Omega)
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F06%2F0018" target="_blank" >GA201/06/0018: Topological structures in functional analysis</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Nonlinear Analysis: Theory, Methods & Applications
ISSN
0362-546X
e-ISSN
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Volume of the periodical
71
Issue of the periodical within the volume
7-8
Country of publishing house
GB - UNITED KINGDOM
Number of pages
11
Pages from-to
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UT code for WoS article
000267405300036
EID of the result in the Scopus database
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