Hostname: page-component-5c6d5d7d68-sv6ng Total loading time: 0 Render date: 2024-08-16T09:24:29.406Z Has data issue: false hasContentIssue false
  • English
  • Français

An Lp theorem for compensated compactness

Published online by Cambridge University Press:  14 November 2011

Yi Zhou
Yi Zhou
Affiliation:
Institute of Mathematics, Fudan University, P. R. China
Get access Rights & Permissions [Opens in a new window]

Synopsis

In this paper, an Lp version of the “div-curl lemma” is generalised in a very general framework. Another form of the Lp -theorem of compensated compactness is also exploited.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 122 , Issue 1-2 , 1992 , pp. 177 - 189
Copyright
Copyright © Royal Society of Edinburgh 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Coifman, R. and Meyer, Y.. Au delá des opérateurs pseudo-différentiels. Asterisque 57 (1978), 1–185.Google Scholar
2Hömander, L.. The Analysis of linear partial differential operators, Vol. 3 (Berlin: Springer-Verlag, 1985).Google Scholar
3Lancaster, P. and Tismenetsky, M.. The theory of matrices with applications, 2nd edn (New York: Academic Press, 1985).Google Scholar
4Murat, F.. Compacité par compensation. Ann. Scuola Norm. Sup. Pisa 5 (1978), 489–507.Google Scholar
5Murat, F.. Compacité par compensation II. In Proceedings of the international Meeting on Recent Methods in Nonlinear Analysis, Rome, May 8–12, 1978, eds De Giorgi, E., Magnes, E. and Mosco, U., 245–256 (Bologna: Pitagora Editrice, 1979).Google Scholar
6Murat, F.. A survey on compented compactness. In Contributions to Modern Calculus of Variations, ed. Cesari, L., Pitman Research Notes in Mathematics 148, 145–183 (Harlow: Longman, 1987).Google Scholar
7Robbin, J., Rogers, R. C. and Temple, B.. On the weak continuity and Hodge decompositions. Trans. Amer. Math. Soc. 303 (1987), 609–618.Google Scholar
8Tartar, L.. Compensated compactness and applications to p.d.e. In Nonlinear Analysis and Mechanics, Heriot-Watt Symposium, Vol. 4, ed. Knops, R. J., Research Notes in Mathematics, 39, 136–212 (Boston: Pitman 1979).Google Scholar