| 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 | 
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| Category: | math | 
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| MSC: | 35D10 | 
| MSC: | 35G20 | 
| MSC: | 35J60 | 
| idZBL: | Zbl 0517.35034 | 
| idMR: | MR687560 | 
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| Date available: | 2008-06-05T21:13:00Z | 
| Last updated: | 2012-04-28 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/106184 | 
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| 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 | 
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