A Liouville-Type Theorem for Elliptic Systems

D. G. de Figueiredo () and P. L. Felmer
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D. G. de Figueiredo: IMECC—UNICAMP
P. L. Felmer: IMECC—UNICAMP

A chapter in Djairo G. de Figueiredo - Selected Papers, 1994, pp 405-415 from Springer

Abstract: Abstract 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 $$ {\mathbb{R}}^{N} . $$

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-02856-9_27

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DOI: 10.1007/978-3-319-02856-9_27

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