Compactness of positive radial Solution Sets and corresponding $L^2$-Mass sets for "Zero Mass" Quasi-linear Schrödinger Equations

Haidong Liu, Yulan Tang, Chengcheng Wu

We study the compactness of two sets of positive radial solutions to ``zero mass'' quasi-linear Schrödinger equation \[ -Δu-uΔ(|u|^2)=g(u) \quad\text{in }\mathbb R^N,\quad N\ge5. \…