Some remarks on a minimization problem associated to a fourth order nonlinear Schrödinger equation

Nabile Boussaïd, Antonio J. Fernández, Louis Jeanjean

Let $\gamma >0$, $\beta >0$, $\alpha >0$ and $0<\sigma N<4$. In the present paper, we study, for $c>0$ given, the constrained minimization problem \begin{equation*} \label{MinL2fixed} m(c):=…