Existence, uniqueness and stability of positive solutions to sublinear elliptic systems
Journal
Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Journal Volume
141
Journal Issue
1
Pages
45-64
Date Issued
2011
Author(s)
Abstract
The existence, stability and uniqueness of positive solutions to a semilinear elliptic system with sublinear nonlinearities are proved. It is shown that the precise global bifurcation diagram of the positive solutions is a monotone curve with different asymptotical behaviour according to the form of the nonlinearities. Equations with Hölder continuous nonlinearities are also considered. © 2011 Copyright Royal Society of Edinburgh.
Type
conference paper