Multiple positive solutions for quasilinear problems with indefinite sublinear nonlinearity

We have established multiplicity of nontrivial solutions for the quasilinear elliptic problem −Δpu=h(x)uα−1+g(x,u)in Ω−Δpu=h(x)uα−1+g(x,u)in Ωu≥0in Ω,u≥0in Ω,u=0on ∂Ω,u=0on ∂Ω, where Ω⊂RNΩ⊂RN is a smooth bounded domain, p>1p>1, 1≤α