Solutions for a quasilinear Schrödinger equation: a dual approach. (English) Zbl 1035.35038

Colin, Mathieu; Jeanjean, Louis

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 56, No. 2, 213-226 (2004).

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.

Reviewer: Dumitru Motreanu (Perpignan)

MSC:

35J60	Nonlinear elliptic equations
47J30	Variational methods involving nonlinear operators
35J20	Variational methods for second-order elliptic equations

Keywords:

quasilinear Schrödinger equation; minimax methods

References:

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