Orateur
Mathis Dauchy
Description
In this talk, I will present the minimization of a quasi-linear Schrödinger functional derived from an effective model in quantum physics, with generalized $\alpha$-power non-linearities. We generalize, for $\alpha >0$, the existence result already known for $\alpha = 1$. More precisely, we show the existence of a critical coupling constant such that a minimizer always exists above this threshold, while there are no minimizers below it.