Existence and multiplicity of sign-changing standing waves for a gauged nonlinear Schrödinger equation in ${\mathbb{R}}^2$

Zhisu Liu, Zigen Ouyang, Jianjun Zhang

We are concerned with sign-changing solutions of the following gauged nonlinear Schrödinger equation in dimension two including the so-called Chern-Simons term \begin{align*} \left…