Existence, uniqueness and stability of positive solutions for a class of semilinear elliptic systems
KeywordsSemilinear elliptic systems, positive solution, stability, existence, uniqueness
AbstractWe 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.
How to Cite
CUI, Renhao, LI, Ping, SHI, Junping & 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, T. 42, nr 1, s. 91–104. [accessed 8.12.2022].
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