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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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