Quantitative stability of harmonic maps from ${\mathbb{R}}^2$ to ${\mathbb{S}}^2$ with higher degree

Bin Deng, Liming Sun, Juncheng Wei

For degree $\pm 1$ harmonic maps from ${\mathbb{R}}^2$ (or ${\mathbb{S}}^2$) to ${\mathbb{S}}^2$, Bernand-Mantel, Muratov and Simon \cite{bernand2021quantitative} recently establish a un…