Conti, Sergio and Dolzmann, Georg and Mueller, Stefan (2011) The div-curl lemma for sequences whose divergence and curl are compact in W--1,W-1. COMPTES RENDUS MATHEMATIQUE, 349 (3-4). pp. 175-178. ISSN 1631-073X, 1778-3569
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It is shown that u(k) . v(k) converges weakly to u . v if u(k) -> u weakly in L-P and v(k) -> v weakly in L-q with p, q is an element of (1, infinity), 1/p + 1/q = 1, under the additional assumptions that the sequences div u(k) and curl v(k) are compact in the dual space of W-0(1.infinity) and that u(k) . v(k) is equi-integrable. The main point is that we only require equi-integrability of the scalar product u(k) . v(k) and not of the individual sequences. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BITING LEMMA; SEMICONTINUITY; THEOREM; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Georg Dolzmann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 26 Jun 2020 06:15 |
| Last Modified: | 26 Jun 2020 06:15 |
| URI: | https://pred.uni-regensburg.de/id/eprint/21297 |
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