Lower semicontinuous envelopes in $W^{1,1} × L^{p}$

Ana Margarida Ribeiro; Elvira Zappale

Lower semicontinuous envelopes in

W^{1, 1} \times L^{p}

Ana Margarida Ribeiro ; Elvira Zappale

Banach Center Publications, Tome 102 (2014), p. 187-206 / Harvested from The Polish Digital Mathematics Library

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Résumé

The lower semicontinuity of functionals of the type $\int_{Ω} f (x, u, v, \nabla u) d x$ with respect to the $(W^{1, 1} \times L^{p})$ -weak* topology is studied. Moreover, in absence of lower semicontinuity, an integral representation in $W^{1, 1} \times L^{p}$ for the lower semicontinuous envelope is also provided.

Publié le : 2014-01-01

Zbl 1293.49029

EUDML-ID : urn:eudml:doc:282025

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     author = {Ana Margarida Ribeiro and Elvira Zappale},
     title = {Lower semicontinuous envelopes in $W^{1,1} $\times$ L^{p}$
            },
     journal = {Banach Center Publications},
     volume = {102},
     year = {2014},
     pages = {187-206},
     zbl = {1293.49029},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-15}
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Ana Margarida Ribeiro; Elvira Zappale. Lower semicontinuous envelopes in $W^{1,1} × L^{p}$
            . Banach Center Publications, Tome 102 (2014) pp. 187-206. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-15/