We study semilinear elliptic systems in two different directions. In the first one we give a simple constructive proof of existence of solutions for a class of sublinear systems. Our main results are in the second direction, where we use bifurcation theory to study global solution curves. Crucial to our analysis is proving positivity properties of the corresponding linearized systems.
- Positivity for the linearized problem
- Solution curves
ASJC Scopus subject areas
- Mathematics (all)
- Engineering (all)