Geodesic
On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems of higher order
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 615-625.

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The aim of this paper is to show that Liouville type property is a sufficient and necessary condition for the regularity of weak solutions of nonlinear elliptic systems of the higher order.
Classification : 35D10, 35G20, 35J45, 35J60
Keywords: regularity of weak solutions; nonlinear elliptic systems 
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     title = {On {Liouville} theorem and the regularity of weak solutions to some nonlinear elliptic systems  of higher order},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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Balanda, L.; Viszus, E. On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems  of higher order. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 615-625. http://geodesic.mathdoc.fr/item/CMUC_1991__32_4_a3/