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Erschienen in:
2013 | OriginalPaper | Buchkapitel
A Liouville-Type Theorem for Elliptic Systems
verfasst von : D. G. de Figueiredo, P. L. Felmer
Erschienen in: Djairo G. de Figueiredo - Selected Papers
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A priori estimates for solutions of superlinear elliptic problems can be established by a blow up technique. Such a method has been used by Gidas-Spruck [GS1] for the case of a single equation. Similar arguments can also be used in the case of systems. We refer to the work of Jie Qing [J] and M.A. Souto [S]. As in the scalar case, the treatment of systems poses the question of the validity of a result which is referred as a Liouville-type theorem for solutions of systems of elliptic equations in
$$ {\mathbb{R}}^{N} . $$