Nonexistence of ground state solutions for generalized quasilinear Schrödinger equations via dual approach

We study quasilinear Schrödinger equations of the form −divA(u)∇u+12A′(u)|∇u|2+V(x)u=h(u), x∈RN, where N≥3,A∈C1(R,R) is a positive function, V∈C2(RN,R) is a given potential, and h∈C1(R,R) is a suitable nonlinearity. Under some mild assumptions, we establish the nonexistence of ground state solutions for such equations by using the dual variational approach and Pohožaev manifold technique.