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On the lower semicontinuity of supremal functionals defined on measures. (English) Zbl 1178.49015

Summary: 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.

MSC:

49J45 Methods involving semicontinuity and convergence; relaxation
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