Existence, uniqueness and stability of positive solutions to a general sublinear elliptic systems
1 Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang, 150001, P.R. China
2 Y.Y. Tseng Functional Analysis Research Center and School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, P.R. China
Boundary Value Problems 2013, 2013:74 doi:10.1186/1687-2770-2013-74Published: 4 April 2013
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.
MSC: 35J55, 35B32.