Integral functionals that are continuous with respect to the weak topology on $W^{1,p}_{0}(Omega)$

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F09%3A00206869" target="_blank" >RIV/00216208:11320/09:00206869 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Integral functionals that are continuous with respect to the weak topology on $W^{1,p}_{0}(Omega)$

Original language description

Let $Omega subset er^N$ be a bounded open set and let $gfcolon Omegatimesertoer$ be a Carathéodory function that satisfies standard growth conditions. Then the functional $Phi(u)=int_{Omega} gbigl(x,u(x)bigr) d x$ is weakly continuous on $W^{1,p}_0(Omega)$, $1leq p leq infty$, if and only if $g$ is linear in the second variable.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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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