Abstract
This paper concerns the following Kirchhoff-type equation −(α+β∫R3|∇u(x)|2dx)Δu(x)+ωu(x)=|u(x)|p−1u(x)inR3,where α,β,ω>0 are constants. The existence of positive least energy solutions to this equation for all p∈(1,5) has been established. Our result extends and improves the recent results in the literature.
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