On a pp-Kirchhoff equation via Krasnoselskii’s genus

In this work will use the genus theory, introduced by Krasnoselskii, to show a result of existence and multiplicity of solutions of the pp-Kirchhoff equation −[M(∫Ω|∇u|pdx)]p−1Δpu=f(x,u)inΩ,u=0on∂Ω where ΩΩ is a bounded smooth domain of RNRN, 1