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Solutions for a quasilinear Schrödinger equation: a dual approach. (English) Zbl 1035.35038
The authors develop a variational approach in $H^1(\bbfR^N)$ for proving the existence of solutions of a quasilinear stationary Schrödinger equation. This is achieved by means of a suitable change of variables for transforming the problem into an equation of a semilinear elliptic type to which one applies the Mountain Pass geometry.

##### MSC:
 35J60 Nonlinear elliptic equations 47J30 Variational methods (nonlinear operator equations) 35J20 Second order elliptic equations, variational methods
##### Keywords:
quasilinear Schrödinger equation; minimax methods
Full Text:
##### References:
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