. . . "Hencl, Stanislav" . . . . "0362-546X" . . "Integral functionals that are continuous with respect to the weak topology on $W_0^{1,p}(0,1)$" . "RIV/00216208:11320/05:00001490!RIV06-MSM-11320___" . . "Pangr\u00E1c, Ond\u0159ej" . "P(GP201/02/D111), Z(MSM 113200007)" . "[58E332024051]" . "Integral functionals that are continuous with respect to the weak topology on $W_0^{1,p}(0,1)$"@en . "Pro spojit\u00E9 funkce $g:[0,1]\\times\\er\\to\\er$ dok\u00E1\u017Eeme, \u017Ee funkcion\u00E1l $\\Phi(u)=\\int_0^1 g\\bigl(x,u(x)\\bigr) \\d x$ je slab\u011B spojit\u00FD na $W^{1,p}_0(0,1)$, $1\\leq p lt \\infty$, pr\u00E1v\u011B tehdy, kdy\u017E $g$ je line\u00E1rn\u00ED v druh\u00E9 prom\u011Bnn\u00E9."@cs . "Integral functionals that are continuous with respect to the weak topology on $W_0^{1,p}(0,1)$" . . "1" . . "Kol\u00E1\u0159, Jan" . . "Integral functionals that are continuous with respect to the weak topology on $W_0^{1,p}(0,1)$"@en . "81;87" . "63" . . . "RIV/00216208:11320/05:00001490" . . "Integr\u00E1ln\u00ED funkcion\u00E1ly, kter\u00E9 jsou spojit\u00E9 vyhledem ke slab\u00E9 topologii na $W_0^{1,p}(0,1)$"@cs . . . "Nonlinear analysis - Theory Methods and Applications" . . . "7"^^ . . . "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 . "3"^^ . . "525199" . . "3"^^ . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . "Integr\u00E1ln\u00ED funkcion\u00E1ly, kter\u00E9 jsou spojit\u00E9 vyhledem ke slab\u00E9 topologii na $W_0^{1,p}(0,1)$"@cs . "11320" . "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." . . "Integral; functionals; continuous; respect; topology; $W_0^{1; $"@en .