On radial solutions for singular combined superlinear elliptic systems on annular domains

We prove the existence of a large positive solution to the system{−(rN−1ϕ1(u′))′=λrN−1f1(v),a0a>0, λ   is a small positive parameter, fi:(0,∞)→Rfi:(0,∞)→R are continuous and limz→∞⁡ϕ1−1(f1(c(ϕ2−1(f2(z)))z=∞ for all c>0c>0.