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Supremal Representation of L∞ Functionals

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Abstract

We characterize the maps F=F(u,A) defined for u ∈ W1,∞ and A open, which can be written as supremal functionals of the form F(u,A)=ess supx ∈ A f(x,u(x),Du(x)).

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Authors and Affiliations

  1. Laboratoire de Mathematiques UMR 6205, Universite De Brest, 6 avenue Victor Le Gorgeu, CS 93837, F-29238 Brest Cedex 3, France

    Pierre Cardaliaguet

  2. Dipartimento di Matematica "Ennio De Giorgi," Universita di Lecce, Via Prov. le Lecce-Arnesano, 73100 Lecce, Italy

    Francesca Prinari

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  1. Pierre Cardaliaguet
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  2. Francesca Prinari
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Correspondence to Pierre Cardaliaguet or Francesca Prinari.

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Cardaliaguet, P., Prinari, F. Supremal Representation of L∞ Functionals. Appl Math Optim 52, 129–141 (2005). https://doi.org/10.1007/s00245-005-0821-6

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  • DOI: https://doi.org/10.1007/s00245-005-0821-6

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