On the lower semicontinuity of supremal functionals defined on measures
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 2, pp. 327-369

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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.
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     author = {Gori, Michele},
     title = {On the lower semicontinuity of supremal functionals defined on measures},
     journal = {Bollettino della Unione matematica italiana},
     pages = {327--369},
     publisher = {mathdoc},
     volume = {Ser. 8, 9B},
     number = {2},
     year = {2006},
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     mrnumber = {2233142},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_2_a6/}
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Gori, Michele. On the lower semicontinuity of supremal functionals defined on measures. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 2, pp. 327-369. http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_2_a6/