Relaxation and gamma-convergence of supremal functionals
Francesca Prinari (2006)
Bollettino dell'Unione Matematica Italiana
Similarity:
We prove that the -limit in of a sequence of supremal functionals of the form is itself a supremal functional. We show by a counterexample that, in general, the function which represents the -lim of a sequence of functionals can depend on the set and wegive a necessary and sufficient condition to represent in the supremal form. As a corollary, if represents a supremal functional, then the level convex envelope of represents its weak* lower semicontinuous envelope. ...