Liouville theorems and symmetry of positive solutions for partially confined nonlinear Schrödinger equations

Zhijie Chen, Youjun Wang, Jianjun Zhang +1

We study positive solutions of the partially confined stationary nonlinear Schrödinger equation $$-Δu+|y|^2u+λu=g(u),\quad (y,z)\in\mathbb{R}^d\times\mathbb{R}^{m},\quad 1\leq d<N,…