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Existence, uniqueness and stability of positive solutions to sublinear elliptic systems

  • Jann-Long Chern (a1), Yong-Li Tang (a1), Chang-Shou Lin (a2) and Junping Shi (a3)

Abstract

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.

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Existence, uniqueness and stability of positive solutions to sublinear elliptic systems

  • Jann-Long Chern (a1), Yong-Li Tang (a1), Chang-Shou Lin (a2) and Junping Shi (a3)

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