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rdf:type
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Description
| - For continuous functions $g:[0,1]\times\er\to\er$ we prove that the functional $\Phi(u)=\int_0^1 g\bigl(x,u(x)\bigr) \d x$ is weakly continuous on $W^{1,p}_0(0,1)$, $1\leq p lt \infty$, if and only if $g$ is linear in the second variable.
- For continuous functions $g:[0,1]\times\er\to\er$ we prove that the functional $\Phi(u)=\int_0^1 g\bigl(x,u(x)\bigr) \d x$ is weakly continuous on $W^{1,p}_0(0,1)$, $1\leq p lt \infty$, if and only if $g$ is linear in the second variable. (en)
- Pro spojité funkce $g:[0,1]\times\er\to\er$ dokážeme, že funkcionál $\Phi(u)=\int_0^1 g\bigl(x,u(x)\bigr) \d x$ je slabě spojitý na $W^{1,p}_0(0,1)$, $1\leq p lt \infty$, právě tehdy, když $g$ je lineární v druhé proměnné. (cs)
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Title
| - Integral functionals that are continuous with respect to the weak topology on $W_0^{1,p}(0,1)$
- Integrální funkcionály, které jsou spojité vyhledem ke slabé topologii na $W_0^{1,p}(0,1)$ (cs)
- Integral functionals that are continuous with respect to the weak topology on $W_0^{1,p}(0,1)$ (en)
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skos:prefLabel
| - Integral functionals that are continuous with respect to the weak topology on $W_0^{1,p}(0,1)$
- Integrální funkcionály, které jsou spojité vyhledem ke slabé topologii na $W_0^{1,p}(0,1)$ (cs)
- Integral functionals that are continuous with respect to the weak topology on $W_0^{1,p}(0,1)$ (en)
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skos:notation
| - RIV/00216208:11320/05:00001490!RIV06-MSM-11320___
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GP201/02/D111), Z(MSM 113200007)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/00216208:11320/05:00001490
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Integral; functionals; continuous; respect; topology; $W_0^{1; $ (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - GB - Spojené království Velké Británie a Severního Irska
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Nonlinear analysis - Theory Methods and Applications
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Hencl, Stanislav
- Kolář, Jan
- Pangrác, Ondřej
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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