Kroemer, Stefan (2010). On the role of lower bounds in characterizations of weak lower semicontinuity of multiple integrals. Adv. Calc. Var., 3 (4). S. 387 - 409. BERLIN: WALTER DE GRUYTER & CO. ISSN 1864-8258
Full text not available from this repository.Abstract
We study weak lower semicontinuity of integral functionals in W-1,W-p under standard p-growth conditions, with integrands whose negative part may have p-growth as well. A characterization is obtained which, besides quasiconvexity of the integrand, involves a second condition that in general is weaker than boundary quasiconvexity at zero as defined by Ball and Marsden, although for p-homogeneous integrands, it reduces to the latter.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-494509 | ||||||||
| DOI: | 10.1515/ACV.2010.016 | ||||||||
| Journal or Publication Title: | Adv. Calc. Var. | ||||||||
| Volume: | 3 | ||||||||
| Number: | 4 | ||||||||
| Page Range: | S. 387 - 409 | ||||||||
| Date: | 2010 | ||||||||
| Publisher: | WALTER DE GRUYTER & CO | ||||||||
| Place of Publication: | BERLIN | ||||||||
| ISSN: | 1864-8258 | ||||||||
| Language: | English | ||||||||
| Faculty: | Unspecified | ||||||||
| Divisions: | Unspecified | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/49450 |
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