Existence, uniqueness and stability of positive solutions for a class of semilinear elliptic systems
Keywords
Semilinear elliptic systems, positive solution, stability, existence, uniquenessAbstract
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.Downloads
Published
2013-04-22
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1.
CUI, Renhao, LI, Ping, SHI, Junping and WANG, Yunwen. Existence, uniqueness and stability of positive solutions for a class of semilinear elliptic systems. Topological Methods in Nonlinear Analysis. Online. 22 April 2013. Vol. 42, no. 1, pp. 91 - 104. [Accessed 14 December 2024].
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