On the stability of the equator map for higher order energy functionals

Ali Fardoun, Stefano Montaldo, Andrea Ratto

Let $B^n\subset {\mathbb{R}}^n$ and ${\mathbb{S}}^n\subset {\mathbb{R}}^{n+1}$ denote the Euclidean $n$-dimensional unit ball and sphere respectively. The \textit{extrinsic $k$-ener…