The Existence of Multiple Solutions for Nonhomogeneous Kirchhoff Type Equations in ℝ3

Qi Zhang and Xiaoli Zhu

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We are concerned with the existence of multiple solutions to the nonhomogeneous Kirchhoff type equation -(a+b∫ℝ3 |∇u|2)Δu+u=|u|p-1u+h(x) in ℝ3, where a, b are positive constants, p ∈ (1,5), 0 ⩽ h(x) = h(|x|) ∈ C1(ℝ3)∩L2(ℝ3), we can find a constant mp > 0 such that for all p ∈ (1,5) the equation has at least two radial solutions provided |h|2

Date: 2013
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https://doi.org/10.1155/2013/806865

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:806865

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