On the relaxation of some classes of unbounded integral functionals
Given a Borel function having convex effective domain, but not necessarily bounded or with nonempty interior, locally bounded in the relative interior of its effective domain and verifying an upper semicontinuity type assumption in its effective domain, we find for every convex bounded open set <...
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| Format: | Article |
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Università degli Studi di Catania
1996-10-01
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| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/437 |
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doaj-7908aebdfd224d108a54c51483d1cec22020-11-25T03:40:16ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981996-10-01512221252409On the relaxation of some classes of unbounded integral functionalsLuciano CarboneRiccardo De ArcangelisGiven a Borel function having convex effective domain, but not necessarily bounded or with nonempty interior, locally bounded in the relative interior of its effective domain and verifying an upper semicontinuity type assumption in its effective domain, we find for every convex bounded open set <em>Ω</em>, the relaxed functional.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/437 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Luciano Carbone Riccardo De Arcangelis |
| spellingShingle |
Luciano Carbone Riccardo De Arcangelis On the relaxation of some classes of unbounded integral functionals Le Matematiche |
| author_facet |
Luciano Carbone Riccardo De Arcangelis |
| author_sort |
Luciano Carbone |
| title |
On the relaxation of some classes of unbounded integral functionals |
| title_short |
On the relaxation of some classes of unbounded integral functionals |
| title_full |
On the relaxation of some classes of unbounded integral functionals |
| title_fullStr |
On the relaxation of some classes of unbounded integral functionals |
| title_full_unstemmed |
On the relaxation of some classes of unbounded integral functionals |
| title_sort |
on the relaxation of some classes of unbounded integral functionals |
| publisher |
Università degli Studi di Catania |
| series |
Le Matematiche |
| issn |
0373-3505 2037-5298 |
| publishDate |
1996-10-01 |
| description |
Given a Borel function having convex effective domain, but not necessarily bounded or with nonempty interior, locally bounded in the relative interior of its effective domain and verifying an upper semicontinuity type assumption in its effective domain, we find for every convex bounded open set <em>Ω</em>, the relaxed functional.<br /> |
| url |
http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/437 |
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AT lucianocarbone ontherelaxationofsomeclassesofunboundedintegralfunctionals AT riccardodearcangelis ontherelaxationofsomeclassesofunboundedintegralfunctionals |
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