Topological Methods in Nonlinear Analysis
- Topol. Methods Nonlinear Anal.
- Volume 42, Number 1 (2013), 91-104.
Existence, uniqueness and stability of positive solutions for a class of semilinear elliptic systems
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.
Topol. Methods Nonlinear Anal., Volume 42, Number 1 (2013), 91-104.
First available in Project Euclid: 21 April 2016
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Cui, Renhao; Li, Ping; Shi, Junping; Wang, Yunwen. Existence, uniqueness and stability of positive solutions for a class of semilinear elliptic systems. Topol. Methods Nonlinear Anal. 42 (2013), no. 1, 91--104. https://projecteuclid.org/euclid.tmna/1461247294