Solutions for a quasilinear Schrödinger equation: a dual approach.
The authors develop a variational approach in \(H^1(\mathbb{R}^N)\) 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.
scientific article; zbMATH DE number 2056121