The existence, stability and uniqueness of positive solutions to a semilinear elliptic system with sublinear nonlinearities are proved. It is shown that the precise global bifurcation diagram of the positive solutions is a monotone curve with different asymptotical behaviour according to the form of the nonlinearities. Equations with Hölder continuous nonlinearities are also considered.
|Number of pages||20|
|Journal||Proceedings of the Royal Society of Edinburgh Section A: Mathematics|
|Publication status||Published - 2011 Feb|
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