Article ID Journal Published Year Pages File Type
842362 Nonlinear Analysis: Theory, Methods & Applications 2010 7 Pages PDF
Abstract

In this paper, we show the existence of infinite solutions to the Kirchhoff type quasilinear elliptic equation [M(∫Ω(∣∇u∣p+λ(x)∣u∣p)dx)]p−1(−Δpu+λ(x)∣u∣p−2u)=f(x,u) in a smooth bounded domain Ω⊂RNΩ⊂RN with nonlinear boundary condition ∣∇u∣p−2∂u∂ν=η∣u∣p−2 on ∂Ω∂Ω. The method we used here is based on “Fountain Theorem” and “Dual Fountain Theorem”.

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