Multiple nontrivial solutions to a pp-Kirchhoff equation

In this paper, Morse theory is used to show the existence of nontrivial solutions to the nonlocal pp-Kirchhoff-type quasilinear elliptic equation [M(∫Ω|∇u|pdx)]p−1(−Δpu)=f(x,u) in a smooth bounded domain Ω⊂RNΩ⊂RN with Dirichlet boundary condition.