Global bifurcation of positive radial solutions for an elliptic system in reactor dynamics

In this paper, we are concerned with the existence of positive radial solutions of the elliptic system {−Δu=uv−λu+f(|x|,u),R1<|x|0λ>0 is a constant, μ>0μ>0 is a parameter and 00f(t,s)>0 for all (t,s)∈[R1,R2]×(0,∞)(t,s)∈[R1,R2]×(0,∞). Under some appropriate conditions on the nonlinearity ff, we show that the above system possesses at least one positive radial solution for any μ∈(0,∞)μ∈(0,∞). The proof of our main results is based upon bifurcation techniques.