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 <...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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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 |
| Summary: | 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 /> |
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| ISSN: | 0373-3505 2037-5298 |