Geodesic
Positive solutions of nonlinear elliptic systems
Annales Polonici Mathematici, Tome 58 (1993) no. 2, pp. 201-212

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We study the existence and nonexistence of positive solutions of nonlinear elliptic systems in an annulus with Dirichlet boundary conditions. In particular, $L^∞$ a priori bounds are obtained. We also study a general multiple linear eigenvalue problem on a bounded domain.
DOI : 10.4064/ap-58-2-201-212
Keywords: a priori bounds, nonlinear elliptic systems, Maximum Principle

Robert Dalmasso 1

1 
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Robert Dalmasso. Positive solutions of nonlinear elliptic systems. Annales Polonici Mathematici, Tome 58 (1993) no. 2, pp. 201-212. doi: 10.4064/ap-58-2-201-212

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