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Positive Solutions of Semilinear Elliptic Systems

Ph. Clkment, D. G. de Figueiredo and E. Mitidieri
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Ph. Clkment: University of Technology, Department of Technical Mathematics and Informatics
D. G. de Figueiredo: Universidade de Campinas Unicamp, Departemento de Matematica
E. Mitidieri: Università degli Studi di Udine, Dipartimento di Matematica e Informatica

A chapter in Djairo G. de Figueiredo - Selected Papers, 1992, pp 369-386 from Springer

Abstract: Abstract We investigate the existence of positive solutions of a Dirich let problem for the system $$ - \Updelta u = f(v),\,\Updelta v = g(u) $$ in a bounded convex domain Ω of $$ {\mathbb{R}}^{N} $$ with smooth boundary. In particular L ∞ a priori bounds are obtained in the same spirit as in De Figueiredo—Lions—Nussbaum [7].

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-02856-9_25

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DOI: 10.1007/978-3-319-02856-9_25

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