Orbital stability for the equivariant Chern--Simons gauged Landau--Lifshitz equation in ${\mathbb{R}}^2$

Guanghui Jin, Jinmyoung Seok, Jianjun Yuan

We study the equivariant Chern--Simons gauged Landau--Lifshitz equation in ${\mathbb{R}}^2$. For equivariance index $m\ge 2$ and a potential $V\in C^{3,1}([0,2])$ satisfying $V(0)=V'(0…