On the lower semicontinuity of supremal functionals defined on measures
Gori, Michele
Bollettino dell'Unione Matematica Italiana, Tome 9-A (2006), p. 327-369 / Harvested from Biblioteca Digitale Italiana di Matematica
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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.

In questo lavoro si considerano due particolari classi di funzionali supremali definiti sulle misure di Radon e si determinano alcune condizioni necessarie e sufficienti alla loro semicontinuità rispetto alla convergenza debole*. Vengono successivamente presentate alcune applicazioni di questi risultati alla minimizzazione di opportuni funzionali definiti su BV.

Publié le : 2006-06-01
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     title = {On the lower semicontinuity of supremal functionals defined on measures},
     journal = {Bollettino dell'Unione Matematica Italiana},
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     year = {2006},
     pages = {327-369},
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Gori, Michele. On the lower semicontinuity of supremal functionals defined on measures. Bollettino dell'Unione Matematica Italiana, Tome 9-A (2006) pp. 327-369. http://gdmltest.u-ga.fr/item/BUMI_2006_8_9B_2_327_0/

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