Inserted: 4 nov 2004
Last Updated: 27 dec 2006
Journal: Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat.
In this paper we consider two particular classes of supremal functionals defined on Radon measures and we find necessary and sufficient conditions for their lower semicontinuity with respect to the weak$^*$ convergence. Some applications to the minimization of functionals defined on $BV$ are presented.
Keywords: Lower Semicontinuity, Dirichlet problem, Supremal functionals, level convexity