Note on the Lower semicontinuity with respect to the Weak Topology on W^{1,p}(Omega)
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10056989" target="_blank" >RIV/00216208:11320/10:10056989 - 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
Note on the Lower semicontinuity with respect to the Weak Topology on W^{1,p}(Omega)
Original language description
We prove that the integral functional with the integrand g(x,u(x)) is lower semicontinuous with respect to the Weak Topology on W^{1,p}(Omega) if and only if g is convex 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
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Bolletino dell Unione Matematica Italiana
ISSN
1972-6724
e-ISSN
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Volume of the periodical
III
Issue of the periodical within the volume
9
Country of publishing house
IT - ITALY
Number of pages
10
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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