Abstract
We consider the stability of positive solutions to semilinear elliptic systems under a new general sublinear condition and its variants. Using the stability result and bifurcation theory, we prove the existence and uniqueness of positive solution and obtain the precise global bifurcation diagram of the system being a single monotone solution curve.
Citation
Renhao Cui. Ping Li. Junping Shi. Yunwen Wang. "Existence, uniqueness and stability of positive solutions for a class of semilinear elliptic systems." Topol. Methods Nonlinear Anal. 42 (1) 91 - 104, 2013.
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