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

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作者
Boying Wu
Renhao Cui
机构
[1] Harbin Institute of Technology,Department of Mathematics
[2] Harbin Normal University,Y.Y. Tseng Functional Analysis Research Center and School of Mathematical Sciences
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关键词
semilinear elliptic systems; positive solution; stability; existence; uniqueness;
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摘要
In this paper, we make use of a new stability result and bifurcation theory to study the existence and uniqueness of positive solutions to semilinear elliptic systems with some general sublinear conditions. Moreover, we obtain the precise global bifurcation diagrams of the system in a single monotone solution curve.
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