Multiple positive solutions for semilinear Dirichlet problems with sign-changing weight function in infinite strip domains Original Research Article

In this paper, existence and multiplicity results to the following Dirichlet problem View the MathML source{−Δu+u=λf(x)|u|q−1+h(x)|u|p−1,in Ωu>0,in Ωu=0,on ∂Ω Turn MathJax on are established, where View the MathML sourceΩ=Ω′×R, Ω′⊂RN−1Ω′⊂RN−1 is bounded smooth domain and N≥2N≥2. Here View the MathML source1