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Local mappings on spaces of differentiable functions
Authors:Giovanni Alberti  Giuseppe Buttazzo
Affiliation:(1) Dipartimento di Matematica, via Buonarroti 2, 56127 Pisa, Italy
Abstract:
We study conditions under which a functionalF(u, B) defined for everyu∈C k(Ω;R m ) and every Borel subsetB of Ω admits the integral representation

$$F(u,B) = intlimits_B {f(x,D^k u(x)) dmu (x)} $$
Keywords:
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