Published Paper

Inserted: 4 nov 2004
Last Updated: 27 dec 2006

Journal: Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat.
Volume: 9
Number: 2
Pages: 327-369
Year: 2006

Abstract:

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