Nonexistence of positive solutions for a class of pp-Laplacian boundary value problems

We prove the nonexistence of positive radial solutions for the problem {−Δpu=λf(u)in  Ω,u=0on  ∂Ω, where ΔpΔp denotes the pp-Laplacian, p>1,Ωp>1,Ω is a ball or an annulus in RN,N>1,f:[0,∞)→RRN,N>1,f:[0,∞)→R is at least pp-linear,  f(0)<0f(0)<0, and is not required to be increasing or to have exactly one zero. Our results extend previous nonexistence results in the literature.