On lower semicontinuity in the calculus of variations

Leoni, Giovanni

Leoni, Giovanni

Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001), p. 345-364 / Harvested from Biblioteca Digitale Italiana di Matematica

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Résumé

Vengono studiate proprietà di semicontinuità per integrali multipli $u \in W^{k, 1} (Ω; R^{d}) \mapsto \int_{Ω} f (x, u (x), \dots \nabla^{k} u (x)) d x$ quando $f$ soddisfa a condizioni di semicontinuità nelle variabili $(x, u, \dots, \nabla^{k - 1} u (x))$ e può non essere soggetta a ipotesi di coercitività, e le successioni ammissibili in $W^{k, 1} (Ω; R^{d})$ convergono fortemente in $W^{k - 1, 1} (Ω; R^{d})$ .

Publié le : 2001-06-01

MR 1831993 | Zbl 1072.49011

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     author = {Giovanni Leoni},
     title = {On lower semicontinuity in the calculus of variations},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {4-A},
     year = {2001},
     pages = {345-364},
     zbl = {1072.49011},
     mrnumber = {1831993},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2001_8_4B_2_345_0}
}

Leoni, Giovanni. On lower semicontinuity in the calculus of variations. Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001) pp. 345-364. http://gdmltest.u-ga.fr/item/BUMI_2001_8_4B_2_345_0/

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