Nonradial solutions of quasilinear schrodinger equations with general nonlinearity

Consider the quasilinear Schrodinger equation [GRAPHICS] . where V (x) is a radial potential allowed to be singular at x = 0, h is an odd nonlinearity of the Berestycki-Lions type, mu is an element of R is a small parameter and l is a general odd function. While most works in the literature are restricted to radial solutions, we develop a new variational approach to derive the existence of multiple nonradial solutions by proposing a nonlocal perturbation process.