Infinitely many global continua bifurcating from a single solution of an elliptic problem with concave–convex nonlinearity

We study the bifurcation of solutions of semilinear elliptic boundary value problems of the form{−Δu=fλ(|x|,u,|∇u|)in Ω,u=0on ∂Ω, on an annulus Ω⊂RNΩ⊂RN, with a concave–convex nonlinearity, a special case being the nonlinearity first considered by Ambrosetti, Brezis and Cerami: fλ(|x|,u,|∇u|)=λ|u|q−2u+|u|p−2ufλ(|x|,u,|∇u|)=λ|u|q−2u+|u|p−2u with 1