Existence of infinitely many solutions for a quasilinear elliptic equation

In this paper, we study the following quasilinear elliptic equation − Δ u − Δ ( u 2 ) u = g ( x , u ) , in  Ω , u = 0 , on  ∂ Ω , where Ω is a bounded smooth domain in R N . Using some special techniques, the existence of infinitely many solutions is obtained by a dual approach, which unifies and improves the recent result of Liu et al. (2013).