Least energy nodal solution for quasilinear biharmonic equations with critical exponent in RNRN

In this paper, we study the following quasilinear biharmonic equation Δ2u−Δu+V(x)u−κ2Δ(u2)u=|u|2∗−2u,x∈RN. Under some appropriate assumptions on VV, the existence of least energy nodal solution is obtained by combining variational methods with Hessian matrix.