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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F09%3A00330850%21RIV10-AV0-67985840
rdf:type
skos:Concept n15:Vysledek
dcterms: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. 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.
dcterms:title
Integral functionals that are continuous with respect to the weak topology on W-0(1,p)(Omega) Integral functionals that are continuous with respect to the weak topology on W-0(1,p)(Omega)
skos:prefLabel
Integral functionals that are continuous with respect to the weak topology on W-0(1,p)(Omega) Integral functionals that are continuous with respect to the weak topology on W-0(1,p)(Omega)
skos:notation
RIV/67985840:_____/09:00330850!RIV10-AV0-67985840
n5:aktivita
n6:P n6:Z
n5:aktivity
P(GA201/06/0018), P(GP201/06/P100), Z(AV0Z10190503), Z(MSM0021620839)
n5:cisloPeriodika
7-8
n5:dodaniDat
n13:2010
n5:domaciTvurceVysledku
n14:4342887
n5:druhVysledku
n17:J
n5:duvernostUdaju
n16:S
n5:entitaPredkladatele
n18:predkladatel
n5:idSjednocenehoVysledku
319792
n5:idVysledku
RIV/67985840:_____/09:00330850
n5:jazykVysledku
n12:eng
n5:klicovaSlova
weak continuity; nonlinear integral functional; Sobolev spaces; linearity
n5:klicoveSlovo
n9:weak%20continuity n9:nonlinear%20integral%20functional n9:linearity n9:Sobolev%20spaces
n5:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n5:kontrolniKodProRIV
[94A7C30FB3C7]
n5:nazevZdroje
Nonlinear Analysis: Theory, Methods & Applications
n5:obor
n7:BA
n5:pocetDomacichTvurcuVysledku
1
n5:pocetTvurcuVysledku
3
n5:projekt
n10:GP201%2F06%2FP100 n10:GA201%2F06%2F0018
n5:rokUplatneniVysledku
n13:2009
n5:svazekPeriodika
71
n5:tvurceVysledku
Kolář, Jan Hencl, S. Černý, R.
n5:wos
000267405300036
n5:zamer
n11:MSM0021620839 n11:AV0Z10190503
s:issn
0362-546X
s:numberOfPages
11