Title:
|
A Liouville theorem for nonlinear elliptic systems with isotropic nonlinearities (English) |
Author:
|
Lions, Pierre-Louis |
Author:
|
Nečas, Jindřich |
Author:
|
Netuka, Ivan |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
23 |
Issue:
|
4 |
Year:
|
1982 |
Pages:
|
645-655 |
. |
Category:
|
math |
. |
MSC:
|
35D10 |
MSC:
|
35G20 |
MSC:
|
35J60 |
idZBL:
|
Zbl 0517.35034 |
idMR:
|
MR687560 |
. |
Date available:
|
2008-06-05T21:13:00Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106184 |
. |
Reference:
|
[1] M. Giaquinta: Multiple integrals in the calculus of variations and nonlinear elliptic systems.Universität Bonn, Sonderforschungsbereich 72, Preprint, No. 443. Zbl 0516.49003, MR 0717034 |
Reference:
|
[2] M. Giaquinta J. Nečas: On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations.J. Reine Angew. Math. 316 (1980), 140-159. MR 0581329 |
Reference:
|
[3] D. Gilbarg N. S. Trudinger: Elliptic partial differential equations of second order.Springer-Verlag, New lork, 1977. MR 0473443 |
Reference:
|
[4] P. A. Ivert: Regularitätsuntersuchungen von Lösungen elliptiseher Systeme von quasilinearen Differentialgleichungen zweiter Ordnung.Manuscripta Math.30 (1970), 53-88. MR 0552363 |
Reference:
|
[5] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Prague, 1967. MR 0227584 |
Reference:
|
[6] J. Nečas: A neceesary and sufficient condition for the regularity of weak solutions to nonlinear elliptic systems of partial differential equations.Abh. Akad. Wiss. DDR, 1981. MR 0639924 |
Reference:
|
[7] J. Nečas: Régularité des solutions faibles d'équations elliptiques nonlinéaires; applications à l'élasticité.Université Paris VI, Analyse numérique et fonctionnelle, 1981. |
Reference:
|
[8] K. Uhlenbeck: Regularity for a class- of non-linear elliptic systems.Acta Math. 138 (1977), 219-240. MR 0474389 |
. |