Standing wave solutions of a quasilinear Schrödinger equation in the small frequency limit

François Genoud, Simona Rota Nodari

This article is concerned with the quasilinear Schrödinger equation \[ Δu-ωu+|u|^{p-1}u+δΔ(|u|^2)u=0, \] where $\delta >0$, $N=2$ and $p>1$ or $N\ge 3$ and $1<p<\frac{3N+2}{N-2}$. After p…