On a image-Kirchhoff equation via Fountain Theorem and Dual Fountain Theorem Original Research Article

In this paper, we show the existence of infinite solutions to the Kirchhoff type quasilinear elliptic equation View the MathML source[M(∫Ω(∣∇u∣p+λ(x)∣u∣p)dx)]p−1(−Δpu+λ(x)∣u∣p−2u)=f(x,u) Turn MathJax on in a smooth bounded domain Ω⊂RNΩ⊂RN with nonlinear boundary condition View the MathML source∣∇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”.