Abstract
We study the existence of positive solutions for the nonlinear Kirchhoff-type equation −a+b∫Ω|∇u|2dxΔu=αu+βu3 with Dirichlet boundary condition, where α,β∈R are two real parameters. We provide a description of a two-dimensional set in the (α,β) plane, which correspond to the existence of positive solutions for the above Kirchhoff type equation.
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