On singular elliptic equations involving oscillatory terms

We guarantee the existence of infinitely many distinct non-negative solutions of the elliptic problem {−div(|x|−2a∇u)=|x|−2bf(u)in Ω,u=0on ∂Ω, where ΩΩ is a bounded open domain in Rn(n≥3) containing the origin, a,ba,b are positive numbers of a certain range, and ff is a continuous function oscillating either at the origin or at infinity. The sequence of solutions in L∞L∞-norm tends to 0 (resp., to +∞+∞) whenever ff oscillates at the origin (resp., at infinity).