Calculus of Variations and Geometric Measure Theory
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P. Cardaliaguet - F. Prinari

Supremal representation of $L^{\infty}$ functionals

created on 13 Oct 2004
modified by prinari on 06 Oct 2008

[BibTeX]

Published Paper

Inserted: 13 oct 2004
Last Updated: 6 oct 2008

Journal: Appl. Math. Optim.
Year: 2005

Abstract:

We characterize the maps $F=F(u,A)$ defined for $u\in W^{1,\infty}$ and $A$ open, which can be written as supremal functionals of the form $F(u,A)=\hbox{ess-sup}_{x\in A} f(x,u(x),Du(x))$.


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