On a pp-Kirchhoff equation via Fountain Theorem and Dual Fountain Theorem

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”.